Decision–making in a conflict situation with fuzzy types of participants

A method of solution of antagonistic game in violation of “common knowledge” principle is described, when players have incomplete knowledge about possible solutions and appropriate outcomes of the opposite side. As a formal model of a game situation it is proposed to use a fuzzymultiple representation of estimates of possibilities of using by players their strategies and the corresponding consequences. The solution of this problem is based on the transformation of fuzzy estimates of the results of possible solutions for each situation in the form of an equivalent fuzzy set with a triangular identity function. The developed method does not impose restrictions on the affiliation functions of the initial fuzzy data. In addition to selecting the best solution, an estimation of its result and the degree of feasibility is obtained.