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.


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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