Study on Some Property Indicators of Fuzzy Relations
Yang Xiao-che
Abstract
Yang Xiao-che
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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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)