Fuzzy moves

Abstract

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. The new approach to achieving the globally optimal 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, the 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 the given payoffs. For completeness, 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 his opponent as possible based on both the given payoffs (i.e. order payoffs and fuzzy payoffs) and the globally strategic goals the players choose. The hybrid decision-making system for fuzzy moves is typically designed so as to make more reliable decisions for fuzzy moves. Finally, some typical examples of global fuzzy moves have indicated that TFM is a relatively rational and effective methodology for dealing with complex fuzzy moves games in the real world.