Journal of Japan Society for Fuzzy Theory and Systems
Online ISSN : 2432-9932
Print ISSN : 0915-647X
ISSN-L : 0915-647X
Fuzzy Modeling for International Cooperative Games
Fumiko SEOMasatoshi SAKAWAIchiro NISHIZAKI
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1993 Volume 5 Issue 3 Pages 577-586

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Abstract
In this paper, we intend to construct an n-person cooperative fuzzy game in characteristic function form for effective formation of international concord. In particular, the fuzziness in evaluating the characteristic function for coalitions is considered, which is treated in terms of an admissible interval of the function for each coalition and represented as the membership function. The fuzzy game is formulated as the fuzzy linear programming problem with fuzzy constraints, which is converted to the parametric programming problem. With this device, all possible solutions of the game are obtained as nucleolus or augmented nucleolus according to the variation of the parameter. These solutions can be found as the crisp number and compared with each other for examining their policy implications.
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© 1993 Japan Society for Fuzzy Theory and Intelligent Informatics
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