Study of Two Families of Generalized Yager’s Implications for Describing the Structure of Generalized (h,e)-Implications

Autor:	Raquel Fernandez-Peralta, Sebastia Massanet, Arnau Mir
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	fuzzy implication function generalized (h e)-implications generalized Yager’s implications characterization horizontal threshold method Mathematics QA1-939
Zdroj:	Mathematics, Vol 9, Iss 13, p 1490 (2021)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math9131490
Popis:	In this study, we analyze the family of generalized (h,e)-implications. We determine when this family fulfills some of the main additional properties of fuzzy implication functions and we obtain a representation theorem that describes the structure of a generalized (h,e)-implication in terms of two families of fuzzy implication functions. These two families can be interpreted as particular cases of the (f,g) and (g,f)-implications, which are two families of fuzzy implication functions that generalize the well-known f and g-generated implications proposed by Yager through a generalization of the internal factors x and 1x, respectively. The behavior and additional properties of these two families are also studied in detail.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e0f5d35c7f4e4e36bf6f222de5c8dcf2 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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