4.7 Article

Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs

Journal

FUZZY SETS AND SYSTEMS
Volume 146, Issue 2, Pages 253-269

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/S0165-0114(03)00260-4

Keywords

fuzzy numbers; fuzzy matrix game; fuzzy duality

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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. (C) 2003 Elsevier B.V. All rights reserved.

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