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Activating Generalized Fuzzy Implications from Galois Connections

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Valverde-Albacete, Francisco J. and Peláez-Moreno, Carmen and Campo Campos, Cristina del (2015) Activating Generalized Fuzzy Implications from Galois Connections. Studies in Fuzziness and Soft Computing, 322 . pp. 201-212. ISSN 14349922

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Official URL: https://link.springer.com/chapter/10.1007%2F978-3-319-16235-5_15



Abstract

This paper deals with the relation between fuzzy implications and Galois connections, trying to raise the awareness that the fuzzy implications are indispensable to generalise Formal Concept Analysis. The concrete goal of the paper is to make evident that Galois connections, which are at the heart of some of the generalizations of Formal Concept Analysis, can be interpreted as fuzzy incidents. Thus knowledge processing, discovery, exploration and visualization as well as data mining are new research areas for fuzzy implications as they are areas where Formal Concept Analysis has a niche.


Item Type:Article
Uncontrolled Keywords:Semiring theory; Semiring-valued extensions of FCA; Fuzzy implications; Residuation; Philosophical foundations
Subjects:Social sciences > Economics > Econometrics
ID Code:60819
Deposited On:10 Jun 2020 10:49
Last Modified:11 Jun 2020 07:41

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