Please use this identifier to cite or link to this item: http://dspace.cu-barika.dz/jspui/handle/123456789/496
Title: ON THE COMPATIBILITY OF A CRISP RELATION WITH A FUZZY EQUIVALENCE RELATION
Authors: Hassane, Bouremel
Keywords: Crisp relation, Fuzzy relation, Clone relation, Compatibility, Tolerance relation, Equivalence relatio
Tolerance relation, Equivalence relatio
Issue Date: 7-Nov-2016
Publisher: Iranian Journal of Fuzzy Systems
Citation: 13
Abstract: Abstract. In a recent paper, De Baets et al. have characterized the fuzzy tolerance and fuzzy equivalence relations that a given strict order relation is compatible with. In this paper, we generalize this characterization by consider- ing an arbitrary (crisp) relation instead of a strict order relation, while paying attention to the particular cases of a reflexive or irreflexive relation. The rea- soning largely draws upon the notion of the clone relation of a (crisp) relation, introduced recently by Bouremel et al., and the partition of this clone relation in terms of three different types of pairs of clones. More specifically, reflexive related clones and irreflexive unrelated clones turn out to play a key role in the characterization of the fuzzy tolerance and fuzzy equivalence relations that a given (crisp) relation is compatible with.
URI: http://dspace.cu-barika.dz/jspui/handle/123456789/496
ISSN: 1735-0654
Appears in Collections:Department of Maths - قسم الرياضيات

Files in This Item:
File Description SizeFormat 
ON THE COMPATIBILITY OF A CRISP RELATION WITH A.pdf335,58 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.