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Soft Computing
Erschienen in: Soft Computing 9/2020

24.02.2020 | Foundations

Single axioms for (S, T)-fuzzy rough approximation operators with fuzzy product operations

verfasst von: Chun Yong Wang, Yu Li Gong

Erschienen in: Soft Computing | Ausgabe 9/2020

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Abstract

There are two different perspectives to study single axioms for (S, T)-fuzzy rough approximation operators, that is, ordinary fuzzy operations and fuzzy product operations. However, it is too complex and tedious to characterize (S, T)-fuzzy rough approximation operators with ordinary fuzzy operations, such as intersection, union and so on. To remedy these defects, this paper further investigates single axioms for (S, T)-fuzzy rough approximation operators with fuzzy product operations, where fuzzy relation is not limited into either a general fuzzy relation or a symmetric one. Considering a left-continuous t-norm T, we describe T-upper fuzzy rough approximation operators with fuzzy product operations by only one axiom. When t-conorm S is right-continuous and fuzzy negation N is strict, S-lower fuzzy rough approximation operators are characterized with fuzzy product operations by a single axiom.
Vorheriger Artikel An efficient key authentication procedure for IND-CCA2 secure Paillier-based cryptosystem
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Metadaten
Titel
Single axioms for (S, T)-fuzzy rough approximation operators with fuzzy product operations
verfasst von
Chun Yong Wang
Yu Li Gong
Publikationsdatum
24.02.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 9/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-020-04774-2

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