Fuzzy implications derived from additive generators of continuous Archimedean t-norms

Fuzzy implications derived from additive generators of continuous Archimedean t-norms

One class of fuzzy implications is introduced by means of the additive generators of continuous Archimedean t‐norms. Basic properties of these implications are discussed. These implications are shown to be different from the known (S,N)‐, R‐, QL‐, and Yager's f‐ and g‐implications. Several func...

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Veröffentlicht in:International journal of intelligent systems 2012-06, Vol.27 (6), p.563-577
Hauptverfasser: Liu, Hua-Wen, Li, Zhen-Bo
Format: Artikel
Sprache:eng
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Zusammenfassung:One class of fuzzy implications is introduced by means of the additive generators of continuous Archimedean t‐norms. Basic properties of these implications are discussed. These implications are shown to be different from the known (S,N)‐, R‐, QL‐, and Yager's f‐ and g‐implications. Several functional equations with fuzzy implications are investigated. © 2012 Wiley Periodicals, Inc.
ISSN:0884-8173
1098-111X
DOI:10.1002/int.21536