On the Uniqueness of Interpretations for Fuzzy IF-THEN Rule Bases

Authors:
Helmut Thiele
Affiliations:
-
Venue:
Proceedings of the International Conference, 7th Fuzzy Days on Computational Intelligence, Theory and Applications
Year:
2001

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Abstract

A fuzzy IF-THEN rule base is considered as a system of equations for a functional operator. We study several conditions so that such a system of functional equations has at most one solution. Several versions of compactness inspired by the compactness of consequence operators used in the theory of formal systems from mathematical logic play a fundamental role in formulating these conditions and in proving corresponding theorems.