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Solution algorithms for fuzzy relational equations with max-product composition. (English) Zbl 0923.04003

Summary: The conditions for the existence of an inverse solution to the max-min composition of fuzzy relational equations have been well documented since the original work by Sanchez. These same existence theorems have been extended to the t-norm composition of relational equations, in which the max-product composition is a member. Several studies have shown that the max-min operator may not always be the most desirable fuzzy relational composition and in fact the max-product operator was superior in these instances. This paper reviews the algorithms necessary to determine the complete solution of the inverse for fuzzy relational equations with max-product composition.

MSC:

03E72 Theory of fuzzy sets, etc.
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