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Activating Generalized Fuzzy Implications from Galois Connections

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URI: http://hdl.handle.net/10016/21571
ISSN: 1434-9922 (print)
ISSN: 1860-0808 (online)
ISBN: 978-3-319-16235-5 (online)
ISBN: 978-3-319-16234-8 (print)
DOI: 10.1007/978-3-319-16235-5_15
UXXI: CO/0000007275
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activating_SFSC_2015_ps.pdf (392.32 KB)
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2015-03
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Springer
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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.
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Semiring theory, Semiring-valued extensions of FCA, Fuzzy implications, Residuation, Philosophical foundations
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Magdalena, L., Verdegay, J. L. & Esteva, F. (eds.). Enric Trillas: A Passion for Fuzzy Sets A Collection of Recent Works on Fuzzy Logic. (pp. 201-212). (Studies in Fuzziness and Soft Computing; 322). Springer International Publishing
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