GENERALIZED COMPOSITIONS OF FUZZY RELATIONS-Reference-Cited by-同舟云学术

GENERALIZED COMPOSITIONS OF FUZZY RELATIONS

Published:2002-12 Issue:supp01 Volume:10 Page:149-163
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

DREWNIAK JÓZEF¹²,KULA KRZYSZTOF²

Affiliation:

1. Institute of Mathematics, University of Rzeszów, 35-310 Rzeszów, ul. Rejtana 16a, Poland

2. Institute of Mathematics, Silesian University, 40-007 Katowice, ul. Bankowa 14, Poland

Abstract

We examine compositions of fuzzy relations based on a binary operation *. We discuss the dependences between algebraic properties of the operation * and the induced sup –* composition. It is examined independently for monotone operations, for operations with idempotent, zero or identity element, for distributive and associative operations. Finally, we present consequences of these results for compositions based on triangular norms, triangular conorms and uninorms.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488502001892

Reference10 articles.

1. Convex combinations of generalized fuzzy relational equations

2. Associative monotonic operations in fuzzy set theory

3. Structure of Uninorms

4. L-fuzzy sets

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