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Formulation of fuzzy linear programming problems as four-objective constrained optimization problems. (English) Zbl 1033.90155
Summary: This paper concerns the solution of fuzzy linear programming (FLP) problems which involve fuzzy numbers in coefficients of objective functions. Firstly, a number of concepts of optimal solutions to FLP problems are introduced and investigated. Then, a number of theorems are developed so as to convert the FLP to a multi-objective optimization problem with four-objective functions. Finally, two illustrative examples are given to demonstrate the solution procedure. It also shows that our method of solution includes an existing method as a special case.

MSC:
90C70Fuzzy programming
90C05Linear programming
90C29Multi-objective programming; goal programming
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References:
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