2015Journal of North University of ChinaRequires access

Study on Some Property Indicators of Fuzzy Relations

Yang Xiao-che

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Abstract

Asymmetry indicator of fuzzy relations was redefined and compared to the definition proposed by Wang et al.Then the relation among some property indicators of fuzzy relationships,including Ttransitivity,negative S-transitivity,T-S-semitransitivity,T-S-Ferrers property,asymmetry and irreflexivity indicators were investigated under the conditions proposed by Peng ea al.Some results on irreflexivity,T-transitivity,T-S-semitransitivity and T-S-Ferrers property done by Fodor and ones on asymmetry,negative S-transitivity T-transitivity,T-S-semitransitivity and T-S-Ferrers property done by Wang were extended to the degree description.

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What this paper is about

Asymmetry indicator of fuzzy relations was redefined and compared to the definition proposed by Wang et al.Then the relation among some property indicators of fuzzy relationships,including Ttransitivity,negative S-transitivity,T-S-semitransitivity,T-S-Ferrers property,asymmetry and irreflexivity indicators were investigated under the conditions proposed by Peng ea al.Some results on irreflexivity,T-transitivity,T-S-semitransitivity and T-S-Ferrers property done by Fodor and ones on asymmetry,negative S-transitivity T-transitivity,T-S-semitransitivity and T-S-Ferrers property done by Wang were extended to the degree description.

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Available abstract

Asymmetry indicator of fuzzy relations was redefined and compared to the definition proposed by Wang et al.Then the relation among some property indicators of fuzzy relationships,including Ttransitivity,negative S-transitivity,T-S-semitransitivity,T-S-Ferrers property,asymmetry and irreflexivity indicators were investigated under the conditions proposed by Peng ea al.Some results on irreflexivity,T-transitivity,T-S-semitransitivity and T-S-Ferrers property done by Fodor and ones on asymmetry,negative S-transitivity T-transitivity,T-S-semitransitivity and T-S-Ferrers property done by Wang were extended to the degree description.

Key concepts: Transitive relation, Property (philosophy), Asymmetry, Mathematics, Fuzzy logic, Relation (database), Pure mathematics, Degree (music)

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