Hybrid decision-making system for fuzzy moves

In this paper, the basic principles of the theory of fuzzy moves (TFM) are developed based on the theory of moves (TOM) and game theory. Especially, the new hybrid decision-making system based on both fuzzy inference and precise inference for achieving the globally good goal of fuzzy moves is rationally proposed based on not only order payoffs used by TOM but also fuzzy payoffs including more decision-making information. Generally, classical game theory and TOM can locally make a player reach an absolute optimal outcome which is as advantageous to his own side as possible only based on his own payoffs. For completeness and rationale, TFM is able to globally make a player reach a relative optimal outcome which is not only as advantageous to his own side as possible but also as disadvantageous to the counterplayer as possible based on both the given payoffs (i.e. order payoffs and fuzzy payoffs) and the globally strategic goals the players choose. Finally a typical example of fuzzy moves has indicated that TFM is a rational and effective methodology to deal with complex fuzzy moves games in the real world