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Filters in Fuzzy Class Theory

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    0308638 - ÚTIA 2008 RIV NL eng J - Journal Article
    Kroupa, Tomáš
    Filters in Fuzzy Class Theory.
    [Filtry v teorii fuzzy tříd.]
    Fuzzy Sets and Systems. Roč. 159, č. 14 (2008), s. 1773-1787. ISSN 0165-0114. E-ISSN 1872-6801
    R&D Projects: GA MŠMT 1M0572; GA AV ČR KJB100300502
    Institutional research plan: CEZ:AV0Z10750506
    Keywords : filter * prime filter * fuzzy class theory
    Subject RIV: BA - General Mathematics
    Impact factor: 1.833, year: 2008

    A concept of filter is introduced in fuzzy class theory. Graded properties of filters, prime filters, and related constructions are investigated. In particular, the properties of filters relativized with respect to the three basic t-norms (Gödel, product, and Łukasiewicz) are studied. A naturally arising example of a graded filter is constructed and it is shown that the models of filters include well-known families of set functions.

    V práci jsou zavedeny a studovány filtry v rámci teorie fuzzy tříd.
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