فهرست مقالات Arithmetic Operations

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  1 - New ‎A‎rithmetic Operations on Developed Parabolic Fuzzy Numbers and Its Application‎
  F. Abbasi
  In this paper, we have studied the basic arithmetic operations for developed parabolic fuzzy numbers by using the concept of the transmission average, which was already implied in ‎[F. Abbasi ‎et al.,‎ A new attitude coupled with fuzzy thinking to fuzzy ring چکیده کامل

  In this paper, we have studied the basic arithmetic operations for developed parabolic fuzzy numbers by using the concept of the transmission average, which was already implied in ‎[F. Abbasi ‎et al.,‎ A new attitude coupled with fuzzy thinking to fuzzy rings and fields, ‎‎‎Journal of Intelligent and Fuzzy Systems, 2015‎‎]‎‎ in its rudimentary form and was finally presented in its fully-fledged form in ‎[‎F. Abbasi ‎et al.,‎ A new and efficient method for elementary fuzzy arithmetic operations on ‎‎‎pseudo-geometric fuzzy numbers, Journal of Fuzzy Set Valued Analysis, 2016‎‎]‎. The major advantage of these operations is that they findings are closer to reality than extension principle-based fuzzy arithmetic operations (in the domain of the membership function) or interval arithmetic (in the domain of $\alpha$-cuts). A technical example is given to illustrate applying the method. The proposed method can model and analyze the fuzzy system reliability in a more flexible and intelligent manner in comparison with the other ‎methods.‎ پرونده مقاله
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  2 - Arithmetic Operations of Generalized Triangular Picture Fuzzy Numbers with Applications
  Mohammad Hasan Abeda Sultana Nirmal Mitra
  10.30495/fomj.2023.1994693.1110
  Picture fuzzy set is the generalization of intuitionistic fuzzy set as well as the fuzzy set considering the positive, neutral and negative membership functions of an element. In this article, we develop the arithmetic operations on generalized triangular picture fuzzy چکیده کامل

  Picture fuzzy set is the generalization of intuitionistic fuzzy set as well as the fuzzy set considering the positive, neutral and negative membership functions of an element. In this article, we develop the arithmetic operations on generalized triangular picture fuzzy numbers by (α,γ,β)-cut method. Some related properties of them are explored. Finally, picture fuzzy linear equations are solved by using these arithmetic operations. پرونده مقاله
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  3 - Low Complexity Converter for the Moduli Set {2^n+1,2^n-1,2^n} in Two-Part Residue Number System
  Shiva Taghipour
  Residue Number System is a kind of numerical systems that uses the remainder of division in several different moduli. Conversion of a number to smaller ones and carrying out parallel calculations on these numbers will increase the speed of the arithmetic operations in t چکیده کامل

  Residue Number System is a kind of numerical systems that uses the remainder of division in several different moduli. Conversion of a number to smaller ones and carrying out parallel calculations on these numbers will increase the speed of the arithmetic operations in this system. However, the main factor that affects performance of system is hardware complexity of reverse converter. Reverse converters convert the resulted remainders to the conventional number system. In this paper an area efficient reverse converter is proposed for moduli set {2^n+1,2^n-1,2^n} based on two-part RNS and mixed radix conversion algorithm. Selecting appropriate order of modulus and using well-known lemmas, leads to reduce the complexity of the proposed converter comparing to previous designs. To have an accurate comparison, both unit gate model and simulation in Xilinx 13.1 FPGA are used in this paper. The results of comparison indicate that the novel proposed reverse converter has improved the time complexity and area, while having almost same delay. پرونده مقاله