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Open Access Article
1 - Conformally invariant spin-32documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} egin{document}$$frac{3}{2}$$end{document} field equation in de Sitter space–time
N. Fatahi -
Open Access Article
2 - Detecting and counting vehicles using adaptive background subtraction and morphological operators in real time systems
Lida Shahmiri Sajad Tavassoli Seyed Navid Hejazi Jouybari -
Open Access Article
3 - Solving infinite system of nonlinear integral equations by using F-generalized Meir-Keeler condensing operators, measure of noncompactness and modified homotopy perturbation.
mohsen rabbani Reza ArabIn this article to prove existence of solution of infinite system of nonlinear integral equations, we consider the space of solution containing all convergence sequences with a finite limit, as with a suitable norm is a Banach space. By creating a generalization of Meir MoreIn this article to prove existence of solution of infinite system of nonlinear integral equations, we consider the space of solution containing all convergence sequences with a finite limit, as with a suitable norm is a Banach space. By creating a generalization of Meir-Keeler condensing operators which is named as F-generalized Meir-Keeler condensing operators and measure of noncompactness, we prove some fixed point theorems. With the help of the above process we try to generalize some theorems which were proved by other authors such as [3, 19] about existence of solution by fixed point theorems. Then for validity and application‎ of our proposed theorems, we prove existence of solution for infinite system of nonlinear integral equations. Finally for ability and more attractiveness of this research, we construct an iteration algorithm by modified homotopy perturbation and Adomian decomposition method to obtain approximation of solution of the infinite system of nonlinear integral equations. Manuscript profile -
Open Access Article
4 - A Hybrid Proximal Point Algorithm for Resolvent operator in Banach Spaces
V. Dadashi M. RabbaniEquilibrium problems have many uses in optimization theory and convex analysis and which is why different methods are presented for solving equilibrium problems in different spaces, such as Hilbert spaces and Banach spaces. The purpose of this paper is to provide a meth MoreEquilibrium problems have many uses in optimization theory and convex analysis and which is why different methods are presented for solving equilibrium problems in different spaces, such as Hilbert spaces and Banach spaces. The purpose of this paper is to provide a method for obtaining a solution to the equilibrium problem in Banach spaces. In fact, we consider a hybrid proximal point algorithm using the resolvent of a maximal monotone operator in Banach space. Under appropriate conditions, we prove the strong convergence of the generated sequence by the algorithm to the zero of the maximal monotone operator. As an application of the main result, and using proved theorems, we can provide a maximal monotone operator for any monotone bifunction so that the zero of the maximal monotone operator is the solution to the equilibrium problem. The results of this paper generalize or improve the obtained results in the various papers. Manuscript profile -
Open Access Article
5 - Essential norm estimates of generalized weighted composition operators into weighted type spaces
A. H. Sanatpour M. HassanlouWeighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators wh MoreWeighted composition operators appear in the study of dynamical systems and also in characterizing isometries of some classes of Banach spaces. One of the most important generalizations of weighted composition operators, are generalized weighted composition operators which in special cases of their inducing functions give different types of well-known operators like: weighted composition operators, composition operators, multiplication operators and composition operators followed by differentiation operators. In this paper we study generalized weighted composition operators and give estimates for the essential norm of such operators on certain Banach spaces of analytic functions into weighted type spaces. The underlying Banach spaces of analytic functions include Bloch spaces, Zygmund spaces and weighted type spaces. Our estimates for the essential norms of generalized weighted composition operators imply necessary and sufficient conditions for the compactness of such operators. As another application of our results, we obtain essential norm estimates of certain well-known operators which are special cases of generalized weighted composition operators. Manuscript profile -
Open Access Article
6 - A new characterization for Meir-Keeler condensing operators and its applications
H. Khandani F. KhojastehDarbo's fixed point theorem and its generalizations play a crucial role in the existence of solutions in integral equations. Meir-Keeler condensing operators is a generalization of Darbo's fixed point theorem and most of other generalizations are a special case of this MoreDarbo's fixed point theorem and its generalizations play a crucial role in the existence of solutions in integral equations. Meir-Keeler condensing operators is a generalization of Darbo's fixed point theorem and most of other generalizations are a special case of this result. In recent years, some authors applied these generalizations to solve several special integral equations and some of them presented a characterization for Meir-Keeler condensing operators, which needs L-functions. But, finding an appropriate L-function needs more struggle. In this paper, we give a characterization for Meir-Keeler condensing operators via measure of non-compactness. Current characterization presents a criterion by which we can show that if a given generalization of Darbo's fixed point theorem is Meer-Keeler condensing or not. Ultimately, we give several corollaries and point out several generalizations of Darbo's fixed point theorem and show that all of them are Meir-Keeler condensing operator or a special case of this result. Manuscript profile -
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7 - L_1 operator and Gauss map of quadric surfaces
A. Mohammadpouri L. Kafili R. HosseinoghliThe quadrics are all surfaces that can be expressed as a second degree polynomialin x, y and z. We study the Gauss map G of quadric surfaces in the 3-dimensional Euclidean space R^3 with respect to the so called L_1 operator ( Cheng-Yau operator □) acting on the smooth MoreThe quadrics are all surfaces that can be expressed as a second degree polynomialin x, y and z. We study the Gauss map G of quadric surfaces in the 3-dimensional Euclidean space R^3 with respect to the so called L_1 operator ( Cheng-Yau operator □) acting on the smooth functions defined on the surfaces. For any smooth functions f defined on the surfaces, L_f=tr(P_1o hessf), where P_1 is the1-th Newton transformation associated to the second fundamental form ofthe surface and hessf denotes the self-adjoint linear operator metrically equivalent to the Hessian of, L_1G=(L_1G_1, L_1G_2, L_1G_3), G=(G_1, G_2, G_3). As a result, we establish the classification theorem that the only quadric surfaces with Gauss map G satisfying L_1G=AG for some 3×3 matrix A are the spheres and flat ones. Furthermore, the spheres are the only compact quadric surfaces with Gauss map G satisfying L_1G=AG for some 3×3 matrix A. Manuscript profile -
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8 - Existential results for a class of fourth-order Elliptic problems with Robin boundary conditions
Atieh Ramzannia jalali Ghasem Alizadeh afrouziIn recent years, fourth-order differential equations in mathematical physics have been considered by many researchers. These applications include Micro Electro Mechanical systems, thin film theory, surface diffusion on solids, flow in Hele-Shaw cells and phase field mod MoreIn recent years, fourth-order differential equations in mathematical physics have been considered by many researchers. These applications include Micro Electro Mechanical systems, thin film theory, surface diffusion on solids, flow in Hele-Shaw cells and phase field models of multiphase systems.[ 9, 20] The importance of studying such equations is due to the justification of many physical examples using mathematical modeling, which can be seen mostly in the field of Newtonian fluids and elastic mechanics, in particular, electrological fluids (smart liquids). See [11, 21] for more details.In this paper, using variational methods, sufficient conditions for the existence of at least two weak non-trivial solutions of a fourth-order elliptic boundary value problem with the Rubin boundary conditions are investigated. Our analysis mainly relies on the variational arguments based on the mountain pass lemma and some recent theory on the generalized Lebesgue–Sobolev spaces. Our work starting point is the paper "Continuous spectrum of a fourth-order nonhomogenous elliptic equation with variable exponent" by A. Ayoujil, A.R. El Amrouss of [3] where the authors considered the problem (1) with the Navier boundary conditions. This paper's guarantee the exsitence of at least two nontrivial weak solutions for the problem (1) with Robin boundary conditions.More precisely, by applying Ambrosetti and Rabinowitz’s mountain pass theorem and under appropriate conditions, we show that there exists a positive number λ_*such that the problem (1) has at least two nontrivial weak solutions. Manuscript profile -
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9 - Hoph Hypersurfaces of Sasakian Space Form with Parallel Ricci Operator Esmaiel Abedi, Mohammad Ilmakchi Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Esmaiel Abedi Mohammad IlmakchiLet M^2n be a hoph hypersurfaces with parallel ricci operator and tangent to structure vector field in Sasakian space form. First, we show that structures and properties of hypersurfaces and hoph hypersurfaces in Sasakian space form. Then we study the structure of hyper MoreLet M^2n be a hoph hypersurfaces with parallel ricci operator and tangent to structure vector field in Sasakian space form. First, we show that structures and properties of hypersurfaces and hoph hypersurfaces in Sasakian space form. Then we study the structure of hypersurfaces and hoph hypersurfaces with a parallel ricci tensor structure and show that there are two cases. In the first case, the shape operator A of M^2n had been constant fixed main curvatures and the maximum of the main curvatures has three distinct. In the second case, the shape operator A of M^2n on D united with zero and M^2n has sn integral manifold that takes the structure of Sasakian space form. Then first by defining a vector field in M^2n show that the integral curve of this vector field in M^2n is geodesy and also by defining a hypersurface in M^2n show that this hypersurface in M^2n is totally geodesic and finally; we show that M^2n is locally the product of these totally geodesic hypersurface with the geodesy curve. Manuscript profile -
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10 - Reflexivity of Cowen-Douglas Operators
Ali Kashkooly zahra fatahiFor a connected open subset Ω of the plane and n a positive integer, let B_n (Ω) be the Cowen-Douglas class of operators. In this article, for a special case of Ω, we show that if T∈B_n (Ω) and its canonical model is a Von Neumann operator, then T is reflexive.In t MoreFor a connected open subset Ω of the plane and n a positive integer, let B_n (Ω) be the Cowen-Douglas class of operators. In this article, for a special case of Ω, we show that if T∈B_n (Ω) and its canonical model is a Von Neumann operator, then T is reflexive.In the main theorem of this paper we assume that the adjoint of the canonical model associated with g.B.K is a Von Neuman operator. We may replace this by the assumption that ‖M_P ‖≤c‖P‖_Ω or ‖M_P ‖=c‖P‖_Ω for every polynomial P. Actually K is the reproducing kernel for a coanalytic functional Hilbert space K on which we can define the operator M_z^* of multiplication byz.Note that if K is stricly positive kernel function on Λ, it gives rise to a functional Hilbert space on Λ with reproducing kernel K.A bounded linear operator T is said to be Von Neumann if the C^*-algebra generated by T is a Von Neumann algebra. We must point out that the operators of Cowen-Douglas class is not reflexive in general, since every operator of this class is unitarily equivalent to the adjoint of non-reflexive operator multiplication by Z ̅. We need to impose the additional conditions for reflexivity of T. Manuscript profile -
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11 - THE ROPER-SUFFRIDGE EXTENSION OPERATORS ON THE CLASS OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE $beta$ AND ORDER $alpha$
Samira Rahrovi H. piriLet$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ MoreLet$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ and order $alpha$ is defined.So, the concept of the strong and almost spirallike mappings of type$beta$ and order $alpha$ is discussed in this paper. From theSchwarz-Pick lemma, under certain conditions, we obtain that thegeneralized Roper-Suffridge operators preserve strong and almostspirallikeness of type $beta$ and order $alpha$ on bounded andcomplete Reinhardt domains $Omega_{n,p_1,cdots,p_n}$. For specificvalues for $alpha$ and $beta$, we obtain the correspondingdefinitions of strong spirallike mappings of type $beta$, strongand almost starlike mappings of order $alpha$, strong starlikemappings. Therefore we obtain the generalized Roper-Suffridgeoperators preserve strong spirallikeness of type $beta$, strong andalmost starlikeness of order $alpha$, strong starlikeness on thecorresponding domains. In particular, our results reduce to manywell-known results. Manuscript profile -
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12 - SOME GENERALIZATIONS OF CHEBYSHEV TYPE INEQUALITIES INVOLVING THE HADAMARD PRODUCT IN L^p SPACES CONSIST OF OPERATORS VALUE FUNCTIONS
Rudin Teimourian Amir ghasem GhazanfariLet B(H) denotes the C*-algebra of all bounded linear operators on a complex Hilbert space H together with the operator norm. Suppose A is a Banach *- subalgebra of B(H) , Ω a compact Hausdorff space equipped with a Radon measure μ and α:Ω→[0,1 MoreLet B(H) denotes the C*-algebra of all bounded linear operators on a complex Hilbert space H together with the operator norm. Suppose A is a Banach *- subalgebra of B(H) , Ω a compact Hausdorff space equipped with a Radon measure μ and α:Ω→[0,1] is an integrable function. We first introduce the space L^p consists of all operator-valued functions from Ω to A which have finite norm related to a L^p-norm. Next, it is proved that if p and q are conjugate exponents, for every two elements belongs to L^p and L^q with almost synchronous property for the Hadamard product, then we will have a new operator Chebyshev type inequality involving the Hadamard product.Also using some properties of positive linear functional "tr", we introduce a semi-inner product for square integrable functions of operators in L^2. Using the obtained results, we prove the Schwarz and Chebyshev type inequalities dealing with the Hadamard product. Manuscript profile -
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13 - An investigation of approximately biprojective Banach algebras
Mohammad Hossein SattariThe concept of approximately biprojective Banach algebras has been introduced by Pourmahmood-Aghababa [15], O. Ya. Aristov [2] and Y. Zhang [19] in different aspects of approximation. Here we follow the definition provided by Pourmahmood-Aghababa that is more general wi MoreThe concept of approximately biprojective Banach algebras has been introduced by Pourmahmood-Aghababa [15], O. Ya. Aristov [2] and Y. Zhang [19] in different aspects of approximation. Here we follow the definition provided by Pourmahmood-Aghababa that is more general with an abundant amount of various interesting examples, and less restrictive conditions. In this paper, some hereditary properties of this notion are investigated. Indeed, we show that approximate biprojectivity of the second dual of a Banach algebra A (equipped with Arens product) implies approximate biprojectivity of A. This concept is also investigated on amalgamated Banach algebras that are genuine generalization of the direct sum of Banach algebras and includes the unitization, the Lau product, the semidirect product, and the module extension Banach algebras. We prove that the first summand in an approximately biprojective amalgamated Banach algebra is approximately biprojective, while for approximate biprojectivity of the second summand some additional hypothesis are necessary. Manuscript profile -
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14 - Solution of operator equations and proof of Kannan mapping theorem and Chatterjea-type mapping theorem in C^*-algebra valued S_b-metric spaces
S. Samira Razavi Hashem Parvaneh MasihaIn this paper, based on the results and theorems of C^*-algebra valued S_b-metric spaces, we solve one type of matrix operator equations in L(H) defined by X-∑_(n=۱)^∞▒〖A_n^* XA_n=Q〗, in which H is a Hilbert space and L(H) is the set of linear and bounded oper MoreIn this paper, based on the results and theorems of C^*-algebra valued S_b-metric spaces, we solve one type of matrix operator equations in L(H) defined by X-∑_(n=۱)^∞▒〖A_n^* XA_n=Q〗, in which H is a Hilbert space and L(H) is the set of linear and bounded operators on H. Also, we prove that the Kannan contraction mapping has a unique fixed point in C^*-algebra valued S_b-metric spaces. Furthermore, we prove that the Chatterjea-type contraction mapping has a unique fixed point in C^*-algebra valued S_b-metric spaces. Finally, by using the Banach contraction principle in C^*-algebra valued S_b-metric spaces that has previously been studied by the authors of this article and by using the results of the above theorems, we solve the above matrix operator equation in C^*-algebra valued S_b-metric spaces. As well as, we show that this matrix operator equation has a unique solution in L(H), and this solution is a Hermitian operator. Manuscript profile -
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15 - Some properties of sums of weighted composition operators on the Fock space
Mahsa Fatehi Asma NegahdariLet H be a Hilbert space. For each f∈H, we define a multiplication operator M_φ by M_φ (f)=φf. Let φ be an entire function. For each f belongs to the Fock space F^2, the composition operator C_φ is defined by C_φ (f)=f∘φ. For entire func MoreLet H be a Hilbert space. For each f∈H, we define a multiplication operator M_φ by M_φ (f)=φf. Let φ be an entire function. For each f belongs to the Fock space F^2, the composition operator C_φ is defined by C_φ (f)=f∘φ. For entire functions ψ, φ and f∈F^2, the weighted composition operator C_(ψ,φ) on F^2 are given by C_(ψ,φ) (f)=ψ.(f∘φ). Let T be a bounded operator on H, the set W(T)={⟨Tf,f⟩:‖f‖=1} is called the numerical range of T. In this paper, we find the point spectrum of some operators C_(ψ_1,φ_1 )+C_(ψ_2,φ_2 ), when φ_1 and φ_2 have the some fixed point. Moreover, we obtain an invariant subspace for the operator (C_(ψ_1,φ_1 )+C_(ψ_2,φ_2 ) )^*. Then by these results, for compact operators C_(ψ_1,φ_1 ) and C_(ψ_2,φ_2 ), we find the spectrum of C_(ψ_1,φ_1 )+C_(ψ_2,φ_2 ). Then for φ_1 and φ_2 which have the some fixed point, we investigate the numerical range of C_(ψ_1,φ_1 )+C_(ψ_2,φ_2 ). Manuscript profile -
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16 - Mean Ergodic Weighted Composition Operator 𝝀𝑪𝝋 on Bloch Space
Fakhreddin falahat Zahra KamaliInvestigating the mean ergodicity of composition operators on various Banach Spaces has always been of interest to mathematicians and many authors studied this topics intensively, in many different spaces, such as, the space of all holomorphic functions on unit disk, Ha MoreInvestigating the mean ergodicity of composition operators on various Banach Spaces has always been of interest to mathematicians and many authors studied this topics intensively, in many different spaces, such as, the space of all holomorphic functions on unit disk, Hardy space and Bloch space. In this paper, for a self map of the unit disk, φ and λ∈ℂ, we consider weighted composition operator, (λ𝐶φ)𝑓=λ𝑓𝑜φ , for every 𝑓 in Bloch space and Little Bloch space and inquiry the conditions under which the weighted composition operator 𝜆𝐶𝜑, is mean ergodic or uniformly mean ergodic on the Bloch and Little Bloch Space. In fact, we will show, if |λ|>1,𝜆𝐶𝜑, cannot be power bounded, mean ergodic or uniformly mean ergodic, in contrast, if |λ|<1, 𝜆𝐶𝜑, is always power bounded, mean ergodic or uniformly mean ergodic. In the case, |λ|=1, we will see that it depends directly to the Denjoy-Wolff point of 𝜑. Manuscript profile -
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17 - Spectrum and essential spectrum of linear combinations of composition operators on the Hardy space H2
M. Haji Shaabani M. Fatehi M. Farzi HaromiLet -----. For an analytic self-map --- of --- , Let --- be the composition operator with composite map --- so that ----. Let --- be a bounded analytic function on --- . The weighted composition operator --- is defined by --- . Suppose that --- is the Hardy space, consi MoreLet -----. For an analytic self-map --- of --- , Let --- be the composition operator with composite map --- so that ----. Let --- be a bounded analytic function on --- . The weighted composition operator --- is defined by --- . Suppose that --- is the Hardy space, consisting of all analytic functions defined on --- , whose Maclaurin cofficients are square summable. ..... Manuscript profile -
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18 - A Note on Quadratic Maps for Hilbert Space Operators
H.R. Moradi M. Erfanian OmidvarIn this paper, we introducethe notion of sesquilinearmap on Β(H) . Based onthisnotion, we define the quadratic map, which is the generalization of positive linear map. With the help of this concept, we prove several well-known equality and inequality...In this paper, we introducethe notion of sesquilinearmap on Β(H) . Based onthisnotion, we define the quadratic map, which is the generalization of positive linear map. With the help of this concept, we prove several well-known equality and inequality... Manuscript profile -
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19 - Some properties of the parametric relative operator entropy
I. NikoufarThe notion of entropy was introduced by Clausius in 1850, and some of the main steps towards the consolidation of the concept were taken by Boltzmann and Gibbs. Since then several extensions and reformulations have been developed in various disciplines with motivations MoreThe notion of entropy was introduced by Clausius in 1850, and some of the main steps towards the consolidation of the concept were taken by Boltzmann and Gibbs. Since then several extensions and reformulations have been developed in various disciplines with motivations and applications in different subjects, such as statistical mechanics, information theory, and dynamical systems. Fujii and Kamei introduced the notion of the relative operator entropy and Furuta introduced the notion of the parametric relative operator entropy as a generalization of the notion of the relative operator entropy. These concepts can be described by the notion of perspective of some elementary functions and this description makes simplifier their verification. The relative operator entropy is concave and the parametric relative operator entropy is also concave for some suitable parameters. In this paper, we study some properties of the parametric relative operator entropy including its bounds. These bounds generalize the calculated bounds of the relative operator entropy by other authors and in particular the previous results will achieve. Manuscript profile -
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20 - extend numerical radius for adjointable operators on Hilbert C^* -modules
M. Shah Hosseini B. MOOSAVIIn this paper, a new definition of numerical radius for adjointable operators in Hilbert -module space will be introduced. We also give a new proof of numerical radius inequalities for Hilbert space operators.In this paper, a new definition of numerical radius for adjointable operators in Hilbert -module space will be introduced. We also give a new proof of numerical radius inequalities for Hilbert space operators. Manuscript profile -
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21 - Some fixed points preserver
A. Taghavi R. HosseinzadehLet B(X) and M (F) n be the algebra of all bounded linear operators on a complex Banachspace X with dimX 3 and the algebra of all n n matrices over a field F with char F 2 ,respectively. Also let F(A) be the space of all fixed points of an operator AB(X) . In thisp MoreLet B(X) and M (F) n be the algebra of all bounded linear operators on a complex Banachspace X with dimX 3 and the algebra of all n n matrices over a field F with char F 2 ,respectively. Also let F(A) be the space of all fixed points of an operator AB(X) . In thispaper, we characterize the forms of linear maps :B(X)B(X) which satisfyF(A) = 0F( (A)) = 0 and linear maps :M (F) M (F) n n which preserve the fixedpoints of matrices Manuscript profile -
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22 - Virtual Space Policy and Indecision in the Light of Gödel's Incompleteness Theorem
Abdollah Karimzadeh Parisa Amirifard -
Open Access Article
23 - Entanglement in the XZ spin chain model in the external magnetic field
F. Soheilian M.R. Soltani M. Firoozi S. A. Hosseini -
Open Access Article
24 - A Class of High Pass Filters Derived From Elliptic Differential Operators
K. Dabighi A. Nazari S. Saryazdi V. Momenaei -
Open Access Article
25 - بزرگنمایی اپراتورهای یکنواخت انتزاعی تعیین شده توسط توابع نمایندگی
حسن اسحاقی کناری امان الله اسدی محمدرضا میریدر این مقاله ، ما یک افزایش جدید زیر دیفرانسیل انتزاعی برای هر عملکرد IPH را مطالعه می کنیم. ما می دانیم که ϵ-انتزاعی زیر دیفرانسیل از هر تابع IPH بزرگ شدن خلاصه ای از آن زیر دیفرانسیل و هر نقطه از نمودار ε-انتزاعی است. زیر دیفرانسیل را می توان با استفاده از نقط Moreدر این مقاله ، ما یک افزایش جدید زیر دیفرانسیل انتزاعی برای هر عملکرد IPH را مطالعه می کنیم. ما می دانیم که ϵ-انتزاعی زیر دیفرانسیل از هر تابع IPH بزرگ شدن خلاصه ای از آن زیر دیفرانسیل و هر نقطه از نمودار ε-انتزاعی است. زیر دیفرانسیل را می توان با استفاده از نقط تقسیم زیر دیفرانسیل به نقطه تقریبی تبدیل کرد. این ویژگی خوب ، به غیر از اهمیت نظری آن ، امکان استفاده از بزرگنمایی دیفرانسیل زیر انتزاعی را نیز در محلولهای تقریبی اجزاء تعیین شده توسط تفاوتهای فرعی انتزاعی فراهم می آورد. ما یک پیشرفت جدید را مشاهده نمی کنیم و در مورد زیر دیفرانسیل انتزاعی ، رابطه بین این بزرگنمایی جدید و زیر دیفرانسیل ϵ-انتزاعی را مشاهده می کنیم. Manuscript profile -
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26 - عملگرهای ترکیبی مشتق پذیر وزن دار از فضاهای برگمن وزن دار با وزن های پذیرفتنی به فضاهای از نوع بلاخ
شایسته رضاییفرض کنید خودنگاشتی تحلیلی روی قرص واحد در صفحه مختلط ، یک عدد صحیح نامنفی و تابعی تحلیلی روی باشد. در این صورت برای تابع تحلیلی روی عملگر ترکیبی مشتق پذیر وزن دار به صورت تعریف می شود که . در این مقاله، کرانداری و فشردگی از فضاه Moreفرض کنید خودنگاشتی تحلیلی روی قرص واحد در صفحه مختلط ، یک عدد صحیح نامنفی و تابعی تحلیلی روی باشد. در این صورت برای تابع تحلیلی روی عملگر ترکیبی مشتق پذیر وزن دار به صورت تعریف می شود که . در این مقاله، کرانداری و فشردگی از فضاهای برگمن وزن دار با وزن های پذیرفتنی به فضاهای از نوع بلاخ را بررسی می کنیم. Manuscript profile -
Open Access Article
27 - یک روش ماتریس-عملیاتی ژاکوبی انتقال یافته جدید برای حل معادله دیفرانسیل مرتبه متغیر کسری غیرخطی با تاخیرهای متناسب
حمید خدابنده لو الیاس شیوانیان سعید عباسبندیدر این کار، معادله دیفرانسیل مرتبه متغیر کسری چند جمله ای غیرخطی تعمیم یافته با تاخیرهای متناسب ارائه می شود. یک تکنیک ماتریس عملیاتی ژاکوبی جدید برای حل یک رده از این معادلات معرفی می شود، به طوری که مساله اصلی تبدیل به سیستم معادلات جبری می شود که می توانیم آن را به ص Moreدر این کار، معادله دیفرانسیل مرتبه متغیر کسری چند جمله ای غیرخطی تعمیم یافته با تاخیرهای متناسب ارائه می شود. یک تکنیک ماتریس عملیاتی ژاکوبی جدید برای حل یک رده از این معادلات معرفی می شود، به طوری که مساله اصلی تبدیل به سیستم معادلات جبری می شود که می توانیم آن را به صورت عددی حل کنیم. تکنیک پیشنهادی با موفقیت برای مساله فوق الذکر توسعه یافته است. تست های عددی جامعی برای نشان دادن کلیت، کارایی، دقت روش ارائه شده و انعطاف پذیری این تکنیک بررسی و تایید می گردد. آزمایشهای عددی آن را با روشهای موجود دیگر مانند روش بازتولید هسته هیلبرت (RKHSM) مقایسه می کنیم. مقایسه نتایج این روش ها و همچنین مقایسه روش فعلی (NSJOM) با جواب واقعی، نشان دهنده اعتبار و کارایی این تکنیک است. بررسی ها نشان می دهد که اجرای این روش آسان است و این تکنیک به عنوان تعمیم بسیاری از روشهای عددی در نظر گرفته می شود. علاوه بر این، خطا و کران آن برآورد می شود. Manuscript profile -
Open Access Article
28 - Applying fuzzy wavelet like operator to the numerical solution of linear fuzzy Fredholm integral equations and error analysis
F. Mokhtarnejad R. Ezzati -
Open Access Article
29 - Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application
‎Ayed E. ‎‎Hashoosh‎ M. Alimohammady‎ -
Open Access Article
30 - G-frames in Hilbert Modules Over Pro-C*-algebras
N. Haddadzadeh‎‎ -
Open Access Article
31 - Numerical solution of two-dimensional fuzzy Fredholm integral equations using collocation fuzzy wavelet like operator
N. Hassasi R. Ezzati -
Open Access Article
32 - Improvement of the Identification Rate using Finger Veins based on the Enhanced Maximum Curvature Method using Morphological Operators
Sayyed Abbas Mousavizadeh Mobarakeh Mehran Emadi -
Open Access Article
33 - Investigating Stress Intensity Factor and Fatigue Life Using Extended Isogeometric Analysis Based on Bézier Extraction of NURBS
M. M Shoheib Sh Shahrooi M Shishehsaz M Hamzehei -
Open Access Article
34 - Nonlinear Viscosity Algorithm with Perturbation for Nonexpansive Multi-Valued Mappings
Hamid Sahebi -
Open Access Article
35 - Asymptotic distribution of eigenvalues of the elliptic operator system
Ahmad Rezaee Ali Sameripour -
Open Access Article
36 - A strong convergence for the general equilibrium system
Hamid Sahebi Stojan Radenovic -
Open Access Article
37 - Essential Norm of Composition Operator as a Mapping on Weighted Bergman Space with Regular Weight
Shayesteh Rezaei -
Open Access Article
38 - Viscosity approximation methods for W-mappings in Hilbert space
HR Sahebi S. Ebrahimi -
Open Access Article
39 - Generalized composition operators from logarithmic Bloch type spaces to Q_K type spaces
Sh. Rezaei H. MahyarIn this paper boundedness and compactness of generalized composition oper-ators from logarithmic Bloch type spaces to Q_K type spaces are investigated.In this paper boundedness and compactness of generalized composition oper-ators from logarithmic Bloch type spaces to Q_K type spaces are investigated. Manuscript profile -
Open Access Article
40 - On Integral Operator and Argument Estimation of a Novel Subclass of Harmonic Univalent Functions
Z. Dehdast Sh. Najafzadeh M.R. Foroutan -
Open Access Article
41 - Financial Performance Evaluation of Companies Using Decision Trees Algorithm and Multi-Criteria Decision-Making Techniques with an Emphasis on Investor’s Risk-Taking Behavior
Zinat Ansari Rezvan Hejazi Yaghoob Zeraat kish Zabihallah Khani Masoum Abadi -
Open Access Article
42 - Generalized Krasnoselskii-Mann Type Iterations for Two Nonexpansive Mappings in Real Hilbert Spaces
Sirous Moradi Najmeh Mohitazar -
Open Access Article
43 - Determine the stress intensity factor in a plate with a center crack under thermal and mechanical loading using isogeometric method based on the Bezier extraction operator
Mohammad Mehdi Shoheib Peyman Yousefi In this research, an analysis of the stress and stress intensity factor in a cracked plate under thermal and mechanical loading is done. For this purpose, using MATLAB coding, a plate with a center crack was modeled by the isogeometric method (I More In this research, an analysis of the stress and stress intensity factor in a cracked plate under thermal and mechanical loading is done. For this purpose, using MATLAB coding, a plate with a center crack was modeled by the isogeometric method (IGA) based on the Bezier extraction operator. In this method, NURBS basis functions are generated as a linear combination of Bernstein polynomials using the Bezier extraction operator. Using this operator Bezier elements with Co continuity (similar to elements of the finite element method) were produced and Bernstein polynomials are defined on these elements. In order to model the crack, the extended isogeometric method (XIGA) was used. In this method, the control points that exist along the crack and at the tip of the crack are identified and extracted using the proper level set functions. Therefore, there is no need to re-meshing or modify the elements. By enriching the extracted control points with appropriate enrichment functions and applying boundary conditions, the analysis process was carried out and the strains and stresses were calculated. Finally, the value of the first mode stress intensity factor was obtained based on the interaction integral method. To check the accuracy of the obtained results, a similar analysis was performed using the finite element method and the results obtained from both methods were compared. These studies showed that the considered isogeometric method provides more accurate solutions with a much smaller number of elements and computational costs. Manuscript profile -
Open Access Article
44 - Failure Mode and Effects Analysis Using Generalized Mixture Operators
mahdi shaghaghi Kamran Rezaie -
Open Access Article
45 - Fuzzy Multi-Objective Linear Programming for Project Management Decision under Uncertain Environment with AHP Based Weighted Average Method
Md. Sanowar Hossain Shahed Mahmud Md. Mosharraf Hossain -
Open Access Article
46 - Participative Biogeography-Based Optimization
Abbas Salehi Behrooz Masoumi -
Open Access Article
47 - Novel Characterizations of $LM$-Fuzzy Open Operators
Fu-Gui ShiIn this paper, we present some characterizations of the $LM$-fuzzy interior operator, the $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator and $LM$-fuzzy preopen operator in an $LM$-fuzzy topological space. Based on them, we introcuced the notions of $LM$-fuzzy MoreIn this paper, we present some characterizations of the $LM$-fuzzy interior operator, the $LM$-fuzzy closure operator, $LM$-fuzzy semiopen operator and $LM$-fuzzy preopen operator in an $LM$-fuzzy topological space. Based on them, we introcuced the notions of $LM$-fuzzy regularly open operators and $LM$-fuzzy regularly closed operators and show that these kinds of openness degrees are di erent from those de ned by level $L$-topology. Manuscript profile -
Open Access Article
48 - Fuzzy Ordinary and Fractional General Sigmoid Function Activated Neural Network Approximation
George AnastassiouHere we research the univariate fuzzy ordinary and fractional quantitative approximation of fuzzy real valued functions on a compact interval by quasi-interpolation general sigmoid activation function relied on fuzzy neural network operators. These approximations are de MoreHere we research the univariate fuzzy ordinary and fractional quantitative approximation of fuzzy real valued functions on a compact interval by quasi-interpolation general sigmoid activation function relied on fuzzy neural network operators. These approximations are derived by establishing fuzzy Jackson type inequalities involving the fuzzy moduli of continuity of the function, or of the right and left Caputo fuzzy fractional derivatives of the involved function. The approximations are fuzzy pointwise and fuzzy uniform. The related feed-forward fuzzy neural networks are with one hidden layer. We study in particular the fuzzy integer derivative and just fuzzy continuous cases. Our fuzzy fractional approximation result using higher order fuzzy differentiation converges better than in the fuzzy just continuous case. Manuscript profile -
Open Access Article
49 - FTC of Three-phase Induction Motor Drives under Current Sensor Faults
Azizollah Gholipour محمود قنبری Esmaeil Alibeiki Mohammad Jannati -
Open Access Article
50 - Using Magic Square Chaotic Algorithm and DNA for Evolutionary-based Image Encryption Operators
mahdi tahbaz Hossein Shirgahi Mohammad Reza YamaghaniThe development of digital technologies has improved the transfer of data over the Internet in recent years. Image encryption is a technique to ensure security in information transfers. The current paper presents an evolutionary model on the basis of a hybridization of MoreThe development of digital technologies has improved the transfer of data over the Internet in recent years. Image encryption is a technique to ensure security in information transfers. The current paper presents an evolutionary model on the basis of a hybridization of DNA biomolecule operators and the LS2 Map chaos function for encryption of image. The model proposed here includes three stages. In the initial stage, the MSC (Magic Square Chaotic) algorithm and a secret key are utilized with the SHA-256 algorithm to determine the initiating the LS2 Map function value, which is then employed to manipulate the pixels of the image. Then, DNA biomolecule operators and the chaos function are used for propagation. Additionally, the previous stages process is iterated with the starting population of the genetic algorithm in the third stage. Afterward, the optimization is carried out through genetic algorithm operators. The results indicate that the introduced model is superior to other rivals. Furthermore, as for the high level of entropy obtained, the model exhibits strong resistance to common attacks. Manuscript profile -
Open Access Article
51 - Detection of Fabric Defective Areas Based on Clustering and Morphological Operators
َAkram Mohammadi Soomar Mehran EmadiAt various stages of fabric production, there are numerous damages to the surface of the fabric. Regardless of the causes of the failures, precise identification of their types helps to correctly classify the fabric and thus provides a high percentage of the quality con MoreAt various stages of fabric production, there are numerous damages to the surface of the fabric. Regardless of the causes of the failures, precise identification of their types helps to correctly classify the fabric and thus provides a high percentage of the quality control process. Quality control of fabrics is of great importance in order to improve product quality and maintain a competitive market. Identification of faulty areas in automated methods is of great importance. In this paper, a new method is presented in the clustering of faulty zones based on clustering as well as morphological operators. In the proposed method, after preprocessing necessary to improve image quality, the first step is to cluster the image to create similar areas. Then morphological operators are applied to extract the defective area. The defective area is represented by the active contour algorithm. Although many methods such as local binary patterns and other methods have been proposed, the speed of detection of these algorithms is low and has high computational complexity. The proposed method is implemented on the CMUPIE database and evaluated using accuracy assessment criteria and accuracy criteria. The accuracy of identifying defective areas in the proposed method is 93.82%, and the precision of detecting defective areas in the suggested method is 98.33% which are significantly improved compared to similar methods. Manuscript profile -
Open Access Article
52 - Optimal Bidding Strategy of Generation Companies (GenCos) in Energy and Spinning Reserve Markets Using Linear Programming
Hassan Barati Ali Habibzadeh Afshin Lashkarara Jamshid AghaeiIn this paper a new bidding strategy become modeling to day-ahead markets. The proposed algorithm is related to the point of view of a generation company (Genco) that its end is maximized its benefit as a participant in sale markets of active power and spinning reserve. MoreIn this paper a new bidding strategy become modeling to day-ahead markets. The proposed algorithm is related to the point of view of a generation company (Genco) that its end is maximized its benefit as a participant in sale markets of active power and spinning reserve. In this method, hourly forecasted energy price (FEP) and forecasted reserve price (FRP) is used as a reference to model the possible and probable price strategies of Gencos. A bi-level optimization problem That first level, is used to maximize the individual Genco’s payoffs for obtaining the optimal offered quantity of Gencos. The second one, uses the results of the upper sub-problem and minimizes the consumer’s payment with regard to the technical and network constraints, which leads to the awarded generation of the Gencos. In this paper use of the game theory in exist optimization model. The paper proposes a linear programming approach. A six bus system is employed to illustrate the application of the proposed method and to show its high precision and capabilities. Manuscript profile -
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53 - The Soft Fuzzy Set In Electrical
Tahere Zare Farhad Ben Mohamad Khajeh Vesal Toranj -
Open Access Article
54 - Evaluating Factors Influencing Success of Virtual Education in Research Institute of Petroleum Industry
Kamran Mohammadkhani Amir Hossein Mohammad Davoudi Atefeh JalaliUsing virtual education helps in creating, managing and developing education effectively, rapidly and economically. The success of virtual education today stands among the most significant subjects in the educational administration. The purpose of the present study was MoreUsing virtual education helps in creating, managing and developing education effectively, rapidly and economically. The success of virtual education today stands among the most significant subjects in the educational administration. The purpose of the present study was to evaluate the factors influencing the success of virtual education including system quality, information and content quality, facilitative factor, teachers' quality, teachers-students interaction and operators' intention. The research method was descriptive and survey. Data gathering instrument was a self-administered questionnaire approved by the experts. The reliability was calculated using Cronbach coefficient with the ratio of 0.92. The statistical population of the study consisted of all experts in the Research Institute of Petroleum industry (RIPI) who had passed the related virtual education in 2012 (N=250). Using stratified random sampling, 156 people were chosen as sample. To analyze the data, descriptive statistics including mean and standard deviation was used. Inferential statistics including Kolmogorov-Smirnov test, one-sample t test and Freidman test were used to verify the hypotheses. Results showed that the factors influencing the success of virtual education in the (RIPI) were evaluated in an appropriate condition. Prioritizing the factors, it was also revealed that information and content qualify, operators' intention and system qualify stood in better conditions comparing the other factors. Manuscript profile -
Open Access Article
55 - Stability Theorem and Results for Quadrupled Fixed Point of Contractive Type Single Valued Operators
Samuel Aniki Kamilu Rauf -
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56 - The Introduction of a Heuristic Mutation Operator to Strengthen the Discovery Component of XCS
Ahmad Reza Pakraei Kamal Mirzaie -
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57 - License Plate Detection Using Sobel Operator
Khosro Kamalatabar Malekshah Hossein Nematzadeh Homayun Motameni -
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58 - A modified NSGA-II solution for a new multi-objective hub maximal covering problem under uncertain shipments
Amir Ebrahimi Zade Ahmad Sadegheih Mohammad Mehdi Lotfi -
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59 - A fuzzy approach to solve a multi-objective linear fractional inventory model
S.J Sadjadi M.B Aryanezhad A Sarfaraz -
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60 - An improved particle swarm optimization with a new swap operator for team formation problem
Walaa H. El-Ashmawi Ahmed F . Ali Mohamed A. Tawhid -
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61 - Investigation and Simulation of Different Medical Image Processing Algorithms to Improve Image Quality Using Simulink MATLAB
Parissa Salehi Neda Behzadfar -
Open Access Article
62 - Civil liability for damages caused by the transportation of oil and gas through pipelines
amin alboshokeh Abdolhossein Shirvi KhozaniField and Aims: transportation through pipelines is one of the emerging ways of transporting materials and goods in the world, which is in the center of attention day by day due to its special and unique advantages and capabilities in moving materials such as oil, gas a MoreField and Aims: transportation through pipelines is one of the emerging ways of transporting materials and goods in the world, which is in the center of attention day by day due to its special and unique advantages and capabilities in moving materials such as oil, gas and other condensates. The growth and development of the transport sector is placed in the countries. But this method may cause damages that will result in civil liability.Method:The present research was carried out using a descriptive-analytical method.Finding and Conclusion: The relevant rules in the field of responsibility of the carrier in the field of oil and gas transportation through pipelines in Iran's legal system and also in the international legal system are not very developed. We are general transporters. In the transportation of oil and gas through pipelines, the nature of the transportation contract in commercial law also applies to it in such a way that according to the contract concluded between the shipper and the carrier of the cargo (oil and gas), the carrier is required to comply with all the provisions of the agreement. is in the contract, and if he has been negligent in this regard, he is responsible for the consequences and damages caused by this failure, unless the damages were caused by factors outside of his authority (such as the authority of Cairo), in which case he is also required to To prove this external factor is for exemption from responsibility. Manuscript profile -
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63 - Classical Wavelet Transforms over Finite Fields
A. Ghaani Farashahi -
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64 - Bipolar general fuzzy automata
M. Horry -
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65 - Some topological operators via grills
A. A. Nasef A. Azzam -
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66 - *-frames in Hilbert modules over pro-C*-algebras
M. Naroei Irani A. Nazari -
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67 - On the h-Jensen's operator inequality
S. S. Hashemi Karouei M. S. Asgari M. Shah Hosseini N. Ghafoori Adl -
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68 - Linear \v{C}ech closure spaces
T. M. Chacko D. Susha -
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69 - Operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$
M. Rossafi S. Kabbaj -
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70 - Some improvements of numerical radius inequalities via Specht’s ratio
Y. Khatib M. Hassani -
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71 - A closure operator versus purity
M. Ghorbani -
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72 - Some properties of Moore$-$Penrose inverse of weighted composition operators
M. Sohrabi -
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73 - On the frames in Hilbert $C^{\ast}$-modules
M. Rossafi M. Ghiati M. Mouniane -
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74 - Reverses of the first Hermite-Hadamard type inequality for the square operator modulus in Hilbert spaces
S. S. Dragomir -
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75 - Densities and fluxes of the conservation laws for the Kuramoto-Sivashinsky equation
M. Jafari Y. Alipour Fakhri M. Khadivar -
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76 - Solvability of infinite systems of differential equations of general order in the sequence space $bv_{\infty}$
M. H. Saboori M. Hassani R. AllahyariWe introduce the Hausdorff measure of noncompactness in the sequence space $bv_{\infty}$ and investigate the existence of solution of infinite systems of differential equations with respect to Hausdorff measure of noncompactness. Finally, we present an example to defend MoreWe introduce the Hausdorff measure of noncompactness in the sequence space $bv_{\infty}$ and investigate the existence of solution of infinite systems of differential equations with respect to Hausdorff measure of noncompactness. Finally, we present an example to defend of theorem of existential. Manuscript profile -
Open Access Article
77 - Solvability of the infinite systems of nonlinear third-order differential equations in the weighted sequence space ${\bf m_\omega(\Delta_{\mathfrak{v}}^{\varsigma}, \psi,q)}$
M. Khanehgir H. Amiri Kayvanloo R. Allahyari M. Mehrabinezhad -
Open Access Article
78 - Hybrid extragradient-type algorithm for zeros and fixed point problems in Banach spaces
B. Ali A. A. AlasanIn this paper, we introduce a new hybrid extragradient-type algorithm for approximating an element in the set of common solutions of equilibrium problems and common fixed points of family of Bregman demigeneralized mappings which is also a common zero of the sum of maxi MoreIn this paper, we introduce a new hybrid extragradient-type algorithm for approximating an element in the set of common solutions of equilibrium problems and common fixed points of family of Bregman demigeneralized mappings which is also a common zero of the sum of maximal monotone and Bregman inverse strongly monotone operators in the setting of reflexie Banach space. Strong convergence of the proposed algorithm to a solutions of the said problems is established which improves and generalizes many recently announced results in the literature. Manuscript profile -
Open Access Article
79 - New lower bound for numerical radius for off-diagonal $2\times 2$ matrices
B. Moosavi M. Shah HosseiniNew norm and numerical radius inequalities for operators on Hilbert space are given. Among other inequalities, we prove that if $ A, B \in B(H) $, then \[\Vert A \Vert - \frac{3 \Vert A-B^* \Vert }{2} \leq \omega\left(\left[\begin{array}{cc} 0 & A \\ B & 0 \end{array}\r MoreNew norm and numerical radius inequalities for operators on Hilbert space are given. Among other inequalities, we prove that if $ A, B \in B(H) $, then \[\Vert A \Vert - \frac{3 \Vert A-B^* \Vert }{2} \leq \omega\left(\left[\begin{array}{cc} 0 & A \\ B & 0 \end{array}\right]\right).\] Moreover, $\omega(AB) \leq \frac{3}{2} \Vert Im(A) \Vert \Vert B \Vert + D_{B}\; \omega(A) $. In particular, if $ A $ is self-adjointable, then $\omega(AB) \leq D_{B} \Vert A \Vert$, where $D_{B}=\underset{\lambda \in \mathbb{C}}{\mathop{\inf}}\,\left\| B-\lambda I \right\|$. Manuscript profile -
Open Access Article
80 - The solutions to some operator equations in Hilbert $C^*$-module
M. Mohammadzadeh Karizaki M. Hassani -
Open Access Article
81 - Compact composition operators on real Banach spaces of complex-valued bounded Lipschitz functions
D. Alimohammadi S. Sefidgar -
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82 - Some algebraic properties of Lambert Multipliers on $L^2$ spaces
A. Zohri S. Khalil Sarbaz -
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83 - Estimates for the Generalized Fourier-Bessel Transform in the Space L2
salah El ouadih -
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84 - An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator
Loualid El Mehdi -
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85 - Generalization of Titchmarsh's Theorem for the Dunkl Transform
salah El ouadih Radouan Daher -
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86 - Airy equation with memory involvement via Liouville differential operator
Bahram Agheli Abdolali Neamaty Mehdi Nategh Dumitru Baleanu -
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87 - Theory of a Superluminous Vacuum Quanta as the Fabric of Space
Rajan Iyer -
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88 - Advanced Refinements of Numerical Radius Inequalities
Farzaneh Pouladi Najafabadi Hamid Moradi -
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89 - Norm and Numerical Radius Inequalities for Hilbert Space Operators
Mohsen Omidvar Mahdi Ghasvareh -
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90 - Investigating the New Conservation Laws of Hunter-Saxton Equation via Lie Symmetries
Mehdi Jafari Somayeh Sadat Mahdion -
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91 - (\DELTA,\GAMMA, 2)-BESSEL LIPSCHITZ FUNCTIONS IN THE SPACE L_{2,\ALPHA}(R+)
Elhamma Mohamed Radouan Daher -
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92 - THE REVIEW OF ALMOST PERIODIC SOLUTIONS TO A STOCHASTIC DIERENTIAL EQUATION
Siavosh Ahmadi -
Open Access Article
93 - GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE DUNKL TRANSFORM IN THE SPACE $L^P(R)$
Elhamma Mohamed Hind Lahlai Radouan Daher -
Open Access Article
94 - GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE GENERALIZED FOURIER-BESSEL TRANSFORM
S. El ouadih R. Daher M. El hamma -
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95 - Development Hough transform to detect straight lines using pre-processing filter
Younes parsa Hasan Hosseinzadeh Mehdi Effatparvar -
Open Access Article
96 - Fuzzy Implication Operators Applied to Country Health Preparation
John Mordeson Sunil Mathew Aswathi PrabhathWe use a new method to determine a fuzzy similarity measure using fuzzy implication operators. We use this method to determine the fuzzy similarity between the two rankings of countries involving health security and health care. We then find a fuzzy similarity of co MoreWe use a new method to determine a fuzzy similarity measure using fuzzy implication operators. We use this method to determine the fuzzy similarity between the two rankings of countries involving health security and health care. We then find a fuzzy similarity of countries involving the two rankings of countries with respect to national disaster and political disaster. Manuscript profile -
Open Access Article
97 - Enhancing Big Data Governance Framework Implementation Using Novel Fuzzy Frank Operators: An Application to MADM Process
Hamza Iftikhar Faisal MehmoodIn today's data-driven landscape, to ensure continuous survival and betterment, the implementation of a robust Big Data Governance Framework (BDGF) is imperative for organizations to effectively manage and harness the potential of their vast data resources. The BD MoreIn today's data-driven landscape, to ensure continuous survival and betterment, the implementation of a robust Big Data Governance Framework (BDGF) is imperative for organizations to effectively manage and harness the potential of their vast data resources. The BDGF serves no purpose when implemented in a random manner. This article delves into the complex decision-making challenges that emerge in the context of implementation of the BDGF under uncertain conditions. Specifically, we aim to analyze and evaluate the BDGF performance using the Multi-Attribute Decision-Making (MADM) techniques aiming to address the intricacies of big data governance uncertainties. To achieve our objectives, we explore the application of Frank operators within the framework of complex picture fuzzy (CPF) sets (CPFs). We introduce complex picture fuzzy Frank weighted averaging (CPFFWA) and complex picture fuzzy Frank ordered weighted averaging (CPFFOWA) operators to enable more accurate implementation of the BDGF. Additionally, we rigorously examine the reliability of these newly proposed fuzzy Frank (FF) operators (FFAOs), taking into consideration essential properties such as idempotency, monotonicity, and boundedness. To illustrate the practical applicability of our approach, we present a case study that highlights the decision-making challenges encountered in the implementation of the BDGF. Subsequently, we conduct a comprehensive numerical example to assess various BDGF implementation options using the MADM technique based on complex picture fuzzy Frank aggregation (CPFFA) operators. Furthermore, we perform a comprehensive comparative assessment of our proposed methodology, emphasizing the significance of the novel insights and results derived. In conclusion, this research article offers a unique and innovative perspective on decision-making within the realm of the BDGF. By employing the CPFFWA and the CPFFOWA operators, organizations can make well-informed decisions to optimize their BDGF implementations, mitigate uncertainties, and harness the full potential of their data assets in an ever-evolving data landscape. This work contributes to the advancement of decision support systems for big data governance (BDG), providing valuable insights for practitioners and scholars alike. Manuscript profile