Bi-matrix Games with Fuzzy Goals and Fuzzy |
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| Authors: | V. Vidyottama S. Chandra C.R. Bector |
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| Affiliation: | (1) Department of Mathematics, Indian Institute of Technology, Hauz Khas, India;(2) Department of Business Administration, The University of Manitoba, Manitoba, Canada |
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| Abstract: | A bi-matrix game with fuzzy goal is shown to be equivalent to a (crisp) non-linear programming problem in which the objective as well as all constraint functions are linear except two constraint functions, which are quadratic. This equivalence is further extended to bi-matrix games with fuzzy pay-offs, as well as to bi-matrix games with fuzzy goals and fuzzy payoffs, whose equilibrium strategies are conceptualized by employing a suitable ranking (defuzzification) function. |
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| Keywords: | Fuzzy goal Fuzzy pay-offs Fuzzy non-linear programming problem Fuzzy number |
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