LINEAR OBJECTIVE FUNCTION OPTIMIZATION WITH THE MAX-PRODUCT FUZZY RELATION INEQUALITY CONSTRAINTS

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ABBASI MOLAI ALI

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Journal: Iranian Journal of Fuzzy Systems Year:2013 | Volume:10 | Issue:5 Page(s): 47-61

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Title

LINEAR OBJECTIVE FUNCTION OPTIMIZATION WITH THE MAX-PRODUCT FUZZY RELATION INEQUALITY CONSTRAINTS

Author(s)

ABBASI MOLAI ALI | Issue Writer Certificate

Keywords

FUZZY RELATION INEQUALITYQ2

LINEAR OBJECTIVE FUNCTION OPTIMIZATIONQ2

MAX-PRODUCT COMPOSITIONQ2

NON-CONVEX PROGRAMMINGQ2

Abstract

In this paper, an optimization problem with a linear objective function subject to a consistent finite system of fuzzy relation inequalities using the MAX-PRODUCT COMPOSITION is studied. Since its feasible domain is non- convex, traditional linear programming methods cannot be applied to solve it. We study this problem and capture some special characteristics of its feasible domain and optimal solutions. Some procedures are proposed to reduce and decompose the original problem into several sub-problems with smaller dimensions. Combining the procedures, a new algorithm is proposed to solve the original problem. An example is also provided to show the efficiency of the algorithm.

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APA: Copy

ABBASI MOLAI, ALI. (2013). LINEAR OBJECTIVE FUNCTION OPTIMIZATION WITH THE MAX-PRODUCT FUZZY RELATION INEQUALITY CONSTRAINTS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 10(5), 47-61. SID. https://sid.ir/paper/113331/en

Vancouver: Copy

ABBASI MOLAI ALI. LINEAR OBJECTIVE FUNCTION OPTIMIZATION WITH THE MAX-PRODUCT FUZZY RELATION INEQUALITY CONSTRAINTS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2013;10(5):47-61. Available from: https://sid.ir/paper/113331/en

IEEE: Copy

ALI ABBASI MOLAI, “LINEAR OBJECTIVE FUNCTION OPTIMIZATION WITH THE MAX-PRODUCT FUZZY RELATION INEQUALITY CONSTRAINTS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 10, no. 5, pp. 47–61, 2013, [Online]. Available: https://sid.ir/paper/113331/en

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