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In this article, a functional equation(IE) involving fuzzy implications hasbeen considered. Two different perspectives of this equation have been providedto realize its significance. As it is very difficult to find the solutions of(IE) in general, the investigation of solutions of (IE) is restricted to mainfamilies of fuzzy implications.

Some solutions of functional equation $I(I(y,x), I(x,y))=I(x,y)$ involving fuzzy implications