Fuzzy matrix games via a fuzzy relation approach |
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| Authors: | V Vijay A Mehra S Chandra C R Bector |
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| Institution: | (1) Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, New Delhi, 110016, India;(2) Department of Business Administration, The University of Manitoba, Winnipeg, MB, Canada, R3T 5V4 |
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| Abstract: | A generalized model for a two person zero sum matrix game with fuzzy goals and fuzzy payoffs via fuzzy relation approach is
introduced, and it is shown to be equivalent to two semi-infinite optimization problems. Further, in certain special cases,
it is observed that the two semi-infinite optimization problems reduce to (finite) linear programming problems which are dual
to each other either in the fuzzy sense or in the crisp sense. |
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| Keywords: | Fuzzy goals Fuzzy payoffs Fuzzy relation Fuzzy quantity t-norm t-conorm |
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