Title: Characterization of a Class of Fuzzy Implication Functions Satisfying the Law of Importation With Respect to a Fixed Uninorm—Part II
Abstract:The law of importation is an important property of fuzzy implication functions because of its interesting applications in approximate reasoning and image processing. In this paper, as a continuation o...The law of importation is an important property of fuzzy implication functions because of its interesting applications in approximate reasoning and image processing. In this paper, as a continuation of the paper [S. Massanet, D. Ruiz-Aguilera, and J. Torrens, “Characterization of a class of fuzzy implication functions satisfying the law of importation with respect to a fixed uninorm-Part I,” IEEE Trans. Fuzz Syst., to be published.], the characterization of all fuzzy implication functions that satisfy the law of importation with respect to a given uninorm U, and having an α-section that is a continuous fuzzy negation is given for the cases when the uninorm U lies in one of the most used classes of uninorms. As the case when the uninorm U is inUmin was already solved in [S. Massanet, D. Ruiz-Aguilera, and J. Torrens, “Characterization of a class of fuzzy implication functions satisfying the law of importation with respect to a fixed uninorm-Part I,” IEEE Trans. Fuzz Syst., to be published.], this paper focuses in the cases when U is an idempotent uninorm, a representable uninorm, or a uninorm continuous in the open unit square.Read More
Publication Year: 2017
Publication Date: 2017-09-25
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 19
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