Abstract

Our purpose is to propose the solution of two person zero-sum continuous differential games in the fuzzy rough environment. This paper uses fuzzy rough sets to measure the dual and multiple uncertainties with high ambiguity and vagueness in continuous differential games. The combination of fuzzy and rough set in continuous differential games represents a new class defined as fuzzy rough continuous differential games. Two person zero-sum fuzzy rough continuous differential games sufficient and necessary conditions are achieved and numerical example is carried out to support the theoretical claims.

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