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Approximation Capability of SISO SBR Fuzzy Systems based on Fuzzy Implications

Publication Type : Conference Proceedings

Publisher : IEEE

Source : 6th International Summer School on Aggregation Operators AGOP, 2011

Campus : Amaravati

School : School of Engineering

Department : Mathematics

Verified : No

Year : 2011

Abstract : In this work, we show that fuzzy inference systems based on Fuzzy Relational Inference (FRI) with implicative interpretation of the rule base are universal approximators under suitable choice of operations for the rest of the components of the fuzzy system. The presented proofs make no assumption on the form or representations of the considered fuzzy implications and hence show that a much larger class of fuzzy implications other than what is typically considered in the literature can be employed meaningfully in FRIs based on implicative models.

Cite this Research Publication : Sayantan Mandal and Balasubramaniam Jayaram, " Approximation Capability of SISO SBR Fuzzy Systems based on Fuzzy Implications ", 6th International Summer School on Aggregation Operators AGOP 2011, Benevento, Italy, July 11-15, 2011

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