Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2004 | 10.1007/s10700-004-4202-4 | FO & DM |
Keywords | Field | DocType |
Fuzzy goal,Fuzzy pay-offs,Fuzzy non-linear programming problem,Fuzzy number | Discrete mathematics,Mathematical optimization,Fuzzy classification,Defuzzification,Fuzzy set operations,Fuzzy logic,Fuzzy mathematics,Fuzzy associative matrix,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics | Journal |
Volume | Issue | Citations |
3 | 4 | 22 |
PageRank | References | Authors |
1.43 | 7 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Vidyottama Vijay | 1 | 52 | 3.27 |
Suresh Chandra | 2 | 902 | 48.57 |
C. R. Bector | 3 | 197 | 19.95 |