I-Fuzzy equivalence relations and I-fuzzy partitions

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SYSNO ASEP	0322890
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	I-Fuzzy equivalence relations and I-fuzzy partitions
Title	I-Fuzzy relácie ekvivalencie a I-Fuzzy rozklady
Author(s)	Mesiar, Radko (UTIA-B)_{RID, ORCID} Jayaram, B. (IN)
Source Title	Information Sciences. - : Elsevier - ISSN 0020-0255 Roč. 179, č. 9 (2009), s. 1278-1297
Number of pages	20 s.
Publication form	www - www
Language	eng - English
Country	NL - Netherlands
Keywords	Conjunctor ; Fuzzy equivalence relation ; Fuzzy partition ; Implicator ; Semi-copula
Subject RIV	BA - General Mathematics
R&D Projects	GA402/08/0618 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10750506 - UTIA-B (2005-2011)
UT WOS	000264567500006
DOI	10.1016/j.ins.2008.12.027
Annotation	A T-fuzzy equivalence relation is a fuzzy binary relation on a set X which is reflexive, symmetric and T-transitive for a t-norm T. In this work, we eploy a related form of C-transitivity, viz., I-transitivity, where I is an implicator. We show that although every I-fuzzy equivalence relation can be shown to be a C-fuzzy equivalence relation, there exist C-fuzzy equivalence relations that are not I-fuzzy equivalence relations and hence these concepts are not equivalent.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2009

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