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  • List of Articles


      • Open Access Article

        1 - A Numerical Method for Solving Fuzzy Differential Equations With Fractional Order
        N. Ahmady
        In this paper we present a numerical method for fuzzy differential equation of fractional order under gH-fractional Caputo differentiability. The main idea of this method is to approximate the solution of fuzzy fractional differential equation (FFDE) by an implicit meth More
        In this paper we present a numerical method for fuzzy differential equation of fractional order under gH-fractional Caputo differentiability. The main idea of this method is to approximate the solution of fuzzy fractional differential equation (FFDE) by an implicit method as corrector and explicit method as predictor. This method is tested on numerical examples. Manuscript profile
      • Open Access Article

        2 - Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions
        S. Hatamzadeh-Varmazyar Z. Masouri
        A numerical method for solving linear integral equations of the second kind is formulated. Based on a special representation of vector forms of triangular functions and the related operational matrix of integration, the integral equation reduces to a linear system of al More
        A numerical method for solving linear integral equations of the second kind is formulated. Based on a special representation of vector forms of triangular functions and the related operational matrix of integration, the integral equation reduces to a linear system of algebraic equations. Generation of this system needs no integration, so all calculations can easily be implemented. Numerical results for some examples show that the method has a good accuracy. Manuscript profile
      • Open Access Article

        3 - Magnetohydrodynamic Flow in Horizontal Concentric Cylinders
        Shyam Lal ‎Yadav‎ Dileep Kumar ‎Ashok Kumar Singh
        This article presents the exact solutions of the velocity and temperature fields for a steady fully developed magnetohydrodynamic flow of a viscous incompressible and electrically conducting fluid between two horizontal concentric cylinders. Our study focuses on the inf More
        This article presents the exact solutions of the velocity and temperature fields for a steady fully developed magnetohydrodynamic flow of a viscous incompressible and electrically conducting fluid between two horizontal concentric cylinders. Our study focuses on the influence of the Hartmann number, Brinkman number, Péclet number and inner radius on the fluid temperature field, entropy generation rate and irreversibility ratio with the help of graphs and table. Manuscript profile
      • Open Access Article

        4 - Optimized ‎P‎ricing Decisions In a Multi-Level Supply Chain With Various Power and Channel Structures‎: ‎A Game-Theoretic Approach‎
        N. Araghi H. Nikoomaram F. Ghaffari
        This article studies the optimization of pricing decisions in a supply chain with different channels under different power structure. Three different channel will be considered here; these include: the decentralized, the semi-integrated, and the integrated channel. Ther More
        This article studies the optimization of pricing decisions in a supply chain with different channels under different power structure. Three different channel will be considered here; these include: the decentralized, the semi-integrated, and the integrated channel. There are two types of power balance structures for both the decentralized and the semi-integrated channels. The first type is a leader_ follower power structure and the second type is an independent power structure. Manuscript profile
      • Open Access Article

        5 - On ‎T‎he Fractional Minimal Cost Flow Problem of a Belief Degree Based Uncertain Network‎
        S. Niroomand
        A fractional minimal cost flow problem under linear type belief degree based uncertainty is studied for the first time. This type of uncertainty is useful when no historical information of an uncertain event is available. The problem is crisped using an uncertain chance More
        A fractional minimal cost flow problem under linear type belief degree based uncertainty is studied for the first time. This type of uncertainty is useful when no historical information of an uncertain event is available. The problem is crisped using an uncertain chance-constrained programming approach and its non-linear objective function is linearized by a variable changing approach. An illustrative example is solved to prove the efficiency of the proposed formulation. Manuscript profile
      • Open Access Article

        6 - A ‎D‎ivergence Measure for Combining Super-Efficiency Scores in Performance Measurement of Two-Stage Production Systems
        M. Khounsiavash R. Kazemi Matin M. Khodabin
        In the conventional data envelopment analysis (DEA) internal sub-processes of the production units are ignored. The current paper develops a network-DEA super-efficiency model to compare the performance of efficient network systems. A new ranking method is developed by More
        In the conventional data envelopment analysis (DEA) internal sub-processes of the production units are ignored. The current paper develops a network-DEA super-efficiency model to compare the performance of efficient network systems. A new ranking method is developed by aggregating the computed super-efficiency scores with a J-divergence measure. The proposed approach is then applied to evaluate wheat productions in Iran provinces. Manuscript profile
      • Open Access Article

        7 - Application of ‎F‎uzzy Bicubic Splines Interpolation for Solving ‎T‎wo-Dimensional Linear Fuzzy Fredholm Integral ‎Equations‎‎
        H. ‎Nouriani‎ R. ‎Ezzati‎‎‎
        ‎In this paper‎, ‎firstly‎, ‎we review approximation of fuzzy functions‎ ‎by fuzzy bicubic splines interpolation and present a new approach‎ ‎based on the two-dimensional fuzzy splines interpolation and‎ ‎iterative method to a More
        ‎In this paper‎, ‎firstly‎, ‎we review approximation of fuzzy functions‎ ‎by fuzzy bicubic splines interpolation and present a new approach‎ ‎based on the two-dimensional fuzzy splines interpolation and‎ ‎iterative method to approximate the solution of two-dimensional‎ ‎linear fuzzy Fredholm integral equation (2DLFFIE)‎. ‎Also‎, ‎we prove‎ ‎convergence analysis and numerical stability analysis for the‎ ‎proposed numerical algorithm‎. ‎Finally‎, ‎by an example‎, ‎we show the‎ ‎efficiency of the proposed ‎method.‎ Manuscript profile
      • Open Access Article

        8 - Hybrid PSOS Algorithm For Continuous ‎Optimization
        A. Jafarian B. Farnad
        Particle swarm optimization (PSO) is one of the practical metaheuristic algorithms which is applied for numerical global optimization‎. ‎It benefits from the nature inspired swarm intelligence‎, ‎but it suffers from a local optima problem‎. ‎Rece More
        Particle swarm optimization (PSO) is one of the practical metaheuristic algorithms which is applied for numerical global optimization‎. ‎It benefits from the nature inspired swarm intelligence‎, ‎but it suffers from a local optima problem‎. ‎Recently‎, ‎another nature inspired metaheuristic called Symbiotic Organisms Search (SOS) is proposed‎, ‎which doesn't have any parameters to set at start‎. ‎In this paper‎, ‎the PSO and SOS algorithms are combined to produce a new hybrid metaheuristic algorithm for the global optimization problem‎, ‎called PSOS‎. ‎In this algorithm‎, ‎a minimum number of the parameters are applied which prevent the trapping in local solutions and increase the success rate‎, ‎and also the SOS interaction phases are modified‎. ‎The proposed algorithm consists of the PSO and the SOS phases‎. ‎The PSO phase gets the experiences for each appropriate solution and checks the neighbors for a better solution‎, ‎and the SOS phase benefits from the gained experiences and performs symbiotic interaction update phases‎. ‎Extensive experimental results showed that the PSOS outperforms both the PSO and SOS algorithms in terms of the convergence and success ‎rates.‎ Manuscript profile