LINEAR OPTIMIZATION OF FUZZY RELATION INEQUALITIES WITH MAX-LUKASIEWICZ ‎COMPOSITION

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SHIVANIAN E.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2015 | Volume:7 | Issue:2 Page(s): 129-138

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Title

LINEAR OPTIMIZATION OF FUZZY RELATION INEQUALITIES WITH MAX-LUKASIEWICZ ‎COMPOSITION

Author(s)

SHIVANIAN E. | Issue Writer Certificate

Keywords

LINEAR OBJECTIVE FUNCTION OPTIMIZATIONQ2

FUZZY RELATION EQUATIONSQ2

FUZZY RELATION INEQUALITIESQ2

MAX-LUKASIEWICZ ‎COMPOSITIONQ2

Abstract

In this paper, we study the finitely many constraints of FUZZY RELATION INEQUALITIES problem and optimize the linear objective function on this region which is defined with fuzzy max-Lukasiewicz operator. In fact Lukasiewicz t-norm is one of the four basic t-norms. A new simplification technique is given to accelerate the resolution of the problem by removing the components having no effect on the solution process. Also, an algorithm and one numerical example are offered to abbreviate and illustrate the steps of the problem resolution ‎process.‎

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APA: Copy

SHIVANIAN, E.. (2015). LINEAR OPTIMIZATION OF FUZZY RELATION INEQUALITIES WITH MAX-LUKASIEWICZ ‎COMPOSITION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 7(2), 129-138. SID. https://sid.ir/paper/231767/en

Vancouver: Copy

SHIVANIAN E.. LINEAR OPTIMIZATION OF FUZZY RELATION INEQUALITIES WITH MAX-LUKASIEWICZ ‎COMPOSITION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2015;7(2):129-138. Available from: https://sid.ir/paper/231767/en

IEEE: Copy

E. SHIVANIAN, “LINEAR OPTIMIZATION OF FUZZY RELATION INEQUALITIES WITH MAX-LUKASIEWICZ ‎COMPOSITION,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 7, no. 2, pp. 129–138, 2015, [Online]. Available: https://sid.ir/paper/231767/en

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