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2018 | OriginalPaper | Buchkapitel

On Some Classes of RU-Implications Satisfying U-Modus Ponens

verfasst von : Margarita Mas, Daniel Ruiz-Aguilera, Joan Torrens

Erschienen in: Aggregation Functions in Theory and in Practice

Verlag: Springer International Publishing

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Abstract

The Modus Ponens property for fuzzy implication functions is essential in the inference process in approximate reasoning. It is usually considered with respect to a continuous t-norm T but it can be generalized to any conjunctor and, in particular, to a conjunctive uninorm U. In this paper, it is investigated when RU-implications derived from uninorms satisfy the Modus Ponens with respect to a conjunctive uninorm U. The new property, called here U-Modus Ponens, is studied in detail for RU-implications derived from uninorms lying in the classes of representable uninorms and uninorms continuous in the open unit square.

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Vorheriges Kapitel k-maxitivity of Order-Preserving Homomorphisms of Lattices

Nächstes Kapitel CMin-Integral: A Choquet-Like Aggregation Function Based on the Minimum t-Norm for Applications to Fuzzy Rule-Based Classification Systems

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Titel: On Some Classes of RU-Implications Satisfying U-Modus Ponens
verfasst von: Margarita Mas
Daniel Ruiz-Aguilera
Joan Torrens
Verlag: Springer International Publishing
Buch: Aggregation Functions in Theory and in Practice
Print ISBN: 978-3-319-59305-0

Electronic ISBN: 978-3-319-59306-7

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-319-59306-7_8

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