Abstract
This paper presents a method for solving the convexly combined form of composite fuzzy relation equations, λ·(x_??_R)+λ·(x_??_R)=y, for the unknown two fuzzy relations R, R and unknown fuzzy convex combinator λ knowing two fuzzy sets x and y. It is another aim of the paper to show that the convexly combined form of composite fuzzy relation equations makes it possible to formalize a corresponding relation between any arbitrary two fuzzy sets x and y. Furthermore, it is suggested that the convexly combined form of composite fuzzy relation equations and the method of solution will provide a fundamental strategy to solve the identification problem of fuzzy input-output systems.
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