Inverse Fuzzy Sum-product Composition and its Application to Fuzzy Linguistic Modelling

Jean-Yves Dieulot, Pierre Borne

Abstract

This paper provides, under some assumptions, a simple algorithm for the inversion of a fuzzy relational equation with sum-product composition. This result is applied to the inversion of a discrete fuzzy linguistic model. It is shown that only a matrix inversion is necessary to obtain the solution which is unique, whenever it exists.

Keywords

Fuzzy relations, Fuzzy system models, Inverse Problem, Sum-product composition

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