Journal of Computational and Applied Mathematics2022,Vol.40418.DOI:10.1016/j.cam.2021.113772

Generalized quantifiers in formal concept analysis

Cornejo, M. Eugenia Diaz-Moreno, Juan Carlos Medina, Jesus
Journal of Computational and Applied Mathematics2022,Vol.40418.DOI:10.1016/j.cam.2021.113772

Generalized quantifiers in formal concept analysis

Cornejo, M. Eugenia 1Diaz-Moreno, Juan Carlos 1Medina, Jesus1
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作者信息

  • 1. Univ Cadiz
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Abstract

Usually, datasets contain imprecise data (noise), which can produce unsuspected results on the considered mappings. For instance, this can happen with the infimum and supremum operators, since both operators are straightforwardly associated with the universal and existencial quantifiers, respectively. An interesting possibility, of decreasing the impact of this possible noise in the final results, is the consideration of generalized quantifiers.& nbsp;This paper introduces four kinds of generalized quantifiers based on adjoint triples, which generalize the current approaches to a more flexible framework. Different properties and characterizations are studied and they have been applied to formal concept analysis, presenting the conjunctive and implicative concept-forming operators in this outstanding theory. (C) 2021 The Authors. Published by Elsevier B.V.

Key words

Concept lattice/Fuzzy set/Generalized quantifier/Adjoint triple/CONCEPT LATTICES/ATTRIBUTE REDUCTION/SIZE

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出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
被引量3
参考文献量47
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