OPTIMIZATION OF A LINEAR OBJECTIVE FUNCTION SUBJECTED TO FUZZY RELATION EQUATIONS CONSTRAINS WITH YAGER'S UNION OPERATOR

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KHOUEINI M.; KHORAM E.

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Journal: Journal of Operational Research in its Applications Year:2007 | Volume:4 | Issue:14 Page(s): 13-23

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Information Journal Paper

Title

OPTIMIZATION OF A LINEAR OBJECTIVE FUNCTION SUBJECTED TO FUZZY RELATION EQUATIONS CONSTRAINS WITH YAGER'S UNION OPERATOR

Author(s)

KHOUEINI M. | KHORAM E. | Issue Writer Certificate

Keywords

LINEAR OBJECTIVE FUNCTION OPTIMIZATIONQ4

FUZZY RELATION EQUATIONSQ4

BRANCH AND BOUNDED METHODQ4

INTEGER PROGRAMMINGQ4

Abstract

An optimization model with a linear objective function subject to a system of FUZZY RELATION EQUATIONS with Yager's union operator in special case is presented. The solution set of such a FUZZY RELATION EQUATIONS is a non-convex set. In this paper, we characterize the feasible solution set and then, optimize a linear objective function. In order to optimize it, we convert it to an equivalent problem involving 0-1 INTEGER PROGRAMMING with a branch-and-bound solution technique. Furthermore, a concrete example is included for illustration purpose.

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APA: Copy

KHOUEINI, M., & KHORAM, E.. (2007). OPTIMIZATION OF A LINEAR OBJECTIVE FUNCTION SUBJECTED TO FUZZY RELATION EQUATIONS CONSTRAINS WITH YAGER'S UNION OPERATOR. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 4(14), 13-23. SID. https://sid.ir/paper/164571/en

Vancouver: Copy

KHOUEINI M., KHORAM E.. OPTIMIZATION OF A LINEAR OBJECTIVE FUNCTION SUBJECTED TO FUZZY RELATION EQUATIONS CONSTRAINS WITH YAGER'S UNION OPERATOR. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2007;4(14):13-23. Available from: https://sid.ir/paper/164571/en

IEEE: Copy

M. KHOUEINI, and E. KHORAM, “OPTIMIZATION OF A LINEAR OBJECTIVE FUNCTION SUBJECTED TO FUZZY RELATION EQUATIONS CONSTRAINS WITH YAGER'S UNION OPERATOR,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 4, no. 14, pp. 13–23, 2007, [Online]. Available: https://sid.ir/paper/164571/en

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