Approximation capability of SISO Fuzzy Relational Inference systems based on fuzzy implications

Mandal, S and Jayaram, Balasubramaniam (2013) Approximation capability of SISO Fuzzy Relational Inference systems based on fuzzy implications. In: IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2013, 7-10, July 2013, Hyderabad; India.

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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

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IITH Creators:	IITH Creators ORCiD Jayaram, Balasubramaniam http://orcid.org/0000-0001-7370-3821
Item Type:	Conference or Workshop Item (Paper)
Uncontrolled Keywords:	Fuzzy implications; Fuzzy relational inference; Universal approximation
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	21 Nov 2014 08:04
Last Modified:	20 Sep 2017 08:52
URI:	http://raiithold.iith.ac.in/id/eprint/905
Publisher URL:	https://doi.org/10.1109/FUZZ-IEEE.2013.6622438
Related URLs:	Google Scholar

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