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

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

Content Provider	MDPI
Author	Fernandez-Peralta, Raquel Massanet, Sebastia Mir, Arnau
Copyright Year	2021
Description	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.
Starting Page	1490
e-ISSN	22277390
DOI	10.3390/math9131490
Journal	Mathematics
Issue Number	13
Volume Number	9
Language	English
Publisher	MDPI
Publisher Date	2021-06-24
Access Restriction	Open
Subject Keyword	Mathematics Logic Fuzzy Implication Function Generalized (h,e)-implications Generalized Yager's Implications Characterization Horizontal Threshold Method
Content Type	Text
Resource Type	Article

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