A NEW APPROACH TO SOLVE FULLY FUZZY LINEAR PROGRAMMING WITH TRAPEZOIDAL NUMBERS USING CONVERSION FUNCTIONS

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Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2015 | Volume:1 | Issue:3 Page(s): 19-28

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Title

A NEW APPROACH TO SOLVE FULLY FUZZY LINEAR PROGRAMMING WITH TRAPEZOIDAL NUMBERS USING CONVERSION FUNCTIONS

Author(s)

NASSERI S.H. | Issue Writer Certificate

Keywords

CONVERSION FUNCTIONQ2

FULLY FUZZY LINEAR PROGRAMMINGQ1

MULTI-OBJECTIVE LINEAR PROGRAMMINGQ1

TRAPEZOIDAL AND TRIANGULAR FUZZY NUMBERSQ2

Abstract

Recently, fuzzy linear programming problems have been considered by many. In the literature of fuzzy linear programming several models are offered and therefore some various methods have been suggested to solve these problems. One of the most important of these problems that recently has been considered; are FULLY FUZZY LINEAR PROGRAMMING (FFLP), which all coefficients and variables of the problem are the same kind of fuzzy numbers. One of most common of them is the model in which all fuzzy parameters are discussed by triangle numbers. In this paper, we first define a FULLY FUZZY LINEAR PROGRAMMING with trapezoidal numbers and then suggest a new method based on reducing the original problem to the problem with triangle number. Specially, a CONVERSION FUNCTION for converting two trapezoidal and triangular numbers to each other is offered. Finally, the mentioned method is illustrated by a numerical example.

Cites

REVISIT ORDERING ON L-R FUZZY NUMBERS AND ITS APPLICATION IN FUZZY MATHEMATICAL PROGRAMMING

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APA: Copy

NASSERI, S.H.. (2015). A NEW APPROACH TO SOLVE FULLY FUZZY LINEAR PROGRAMMING WITH TRAPEZOIDAL NUMBERS USING CONVERSION FUNCTIONS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 1(3), 19-28. SID. https://sid.ir/paper/257261/en

Vancouver: Copy

NASSERI S.H.. A NEW APPROACH TO SOLVE FULLY FUZZY LINEAR PROGRAMMING WITH TRAPEZOIDAL NUMBERS USING CONVERSION FUNCTIONS. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2015;1(3):19-28. Available from: https://sid.ir/paper/257261/en

IEEE: Copy

S.H. NASSERI, “A NEW APPROACH TO SOLVE FULLY FUZZY LINEAR PROGRAMMING WITH TRAPEZOIDAL NUMBERS USING CONVERSION FUNCTIONS,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 1, no. 3, pp. 19–28, 2015, [Online]. Available: https://sid.ir/paper/257261/en

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