0308638 - ÚTIA 2008 RIV NL eng J - Článek v odborném periodiku
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
Grant CEP: GA MŠMT 1M0572; GA AV ČR KJB100300502
Výzkumný záměr: CEZ:AV0Z10750506
Klíčová slova: filter * prime filter * fuzzy class theory
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.833, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0161053