Onyshchenko V. The linear discrete game problems with fuzzy sets.

The properties of operations a geometrical difference by Minkowski, such as sum, intersection, union for Zadeh fuzzy sets are investigated. With the help of these operations the sequences of sets are circumscribed which supply solution of the problems of coming together. Necessary and sufficient conditions of the game termination for problem of quality on speed are set. For several dynamics games such as non-stationary, systems with memory and delay are collection of all points from each of which player is circumscribed can make hit of the object for one step on fuzzy terminal set. The conditions of the termination of the non-stationary game problems, games with discrete Volterra evolution and the difference-differential games with fuzzy sets are obtained and the membership functions are constructed. For the analytical description of a sequence of fuzzy sets the membership functions are formulated. In the supposition of convexity, closure and bounded of fuzzy sets carrier the means of function of supports is used. It has enabled to receive the analytical description of sets as linear inequalities. The situation when player knowledge about rival control makes no difference is considered as separate case.