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Bibliografie

Journal Article

Filters in Fuzzy Class Theory

Kroupa Tomáš

: Fuzzy Sets and Systems vol.159, 14 (2008), p. 1773-1787

: CEZ:AV0Z10750506

: 1M0572, GA MŠk, KJB100300502, GA AV ČR

: filter, prime filter, fuzzy class theory

(eng): 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.

(cze): V práci jsou zavedeny a studovány filtry v rámci teorie fuzzy tříd.

: BA