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Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs. (English) Zbl 1061.90120

Summary: A dual for linear programming problems with fuzzy parameters is introduced and it is shown that a two person zero sum matrix game with fuzzy pay-offs is equivalent to a primal-dual pair of such fuzzy linear programming problems. Further certain difficulties with similar studies reported in the literature are discussed.

MSC:

90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
91A80 Applications of game theory
90C05 Linear programming
90C46 Optimality conditions and duality in mathematical programming
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