A first approach to fuzzy differential game problem: Guarding a territory

A first approach to fuzzy differential game problem: Guarding a territory

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Article ID: iaor19941049
Country: Netherlands
Volume: 55
Issue: 2
Start Page Number: 157
End Page Number: 167
Publication Date: Apr 1993
Journal: Fuzzy Sets and Systems
Authors: ,
Keywords: game theory
Abstract:

In this paper, the fuzzy differential game problem is proposed and the problem of guarding a territory is considered. The authors reformulate this differential game problem by considering that the locations of the territory and/or of one’s opponent are imprecisely known to the players, thus treating them as fuzzy information. A fuzzy control strategy is proposed for this fuzzy differential game problem. It will be seen that in the limiting case the result of the fuzzy differential game problem approaches that of the unfuzzified case. Some computer simulation results are provided in this paper.

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