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Zbl 1201.91003
Cevikel, Adem C.; Ahlatç ioğlu, Mehmet
Solutions for fuzzy matrix games.
(English)
[J] Comput. Math. Appl. 60, No. 3, 399-410 (2010). ISSN 0898-1221

Summary: We deal with two-person zero-sum games with fuzzy payoffs and fuzzy goals. We present two models for studying two-person zero-sum matrix games with fuzzy payoffs and fuzzy goals. We assume that each player has a fuzzy goal for each of the payoffs. We obtain that the fuzzy relation approach and the max-min solution are equivalent.
MSC 2000:
*91A05 2-person games
15B15

Keywords: fuzzy goal; fuzzy payoff matrix; fuzzy relation; fuzzy quantity; nonlinear programming problem; max-min solution; relaxation procedure; two-person zero-sum games

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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