Studies in Informatics and Control
Vol. 14, No. 2, 2005
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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CITE THIS PAPER AS:
Jean-Yves Dieulot,
Pierre Borne,
"Inverse Fuzzy Sum-product Composition and its Application to Fuzzy Linguistic Modelling",
Studies in Informatics and Control,
ISSN 1220-1766,
vol. 14(2),
pp. 73-78,
2005.