Traces and property indicators of fuzzy relations

In this paper, we focus on the characterizations of various property indicators of fuzzy relations by means of left and right traces. The characterized indicators include those of reflexivity, T-asymmetry, S-completeness, T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers...

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Bibliographic Details
Published in:Fuzzy sets and systems 2014-07, Vol.246, p.78-90
Main Authors: Wang, Xuzhu, Xue, Ye
Format: Article
Language:English
Subjects:
Complement
Fuzzy
Fuzzy logic
Fuzzy relations
Fuzzy set theory
Indicators
Left and right traces
T-asymmetry
T-S-Ferrers property
T-S-semitransitivity
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Summary:In this paper, we focus on the characterizations of various property indicators of fuzzy relations by means of left and right traces. The characterized indicators include those of reflexivity, T-asymmetry, S-completeness, T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers property. The investigation can be regarded as an extension of and complement to the work done by Fodor on characterizing these properties in terms of traces.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2014.01.008