Filters in Fuzzy Class Theory

0308638 20240103190104.720080602235959.9 Filters in Fuzzy Class Theory 15 s. cav_un_epca*02566420165-0114Fuzzy Sets and Systems15914 (2008)1773-1787Elsevier Filtry v teorii fuzzy tříd filter prime filter fuzzy class theory cav_un_auth*0101141 Kroupa Tomáš UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 1M0572 GA MŠk cav_un_auth*0001814 KJB100300502 GA AV ČR cav_un_auth*0213236 CEZ:AV0Z10750506 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. 2008 BA http://hdl.handle.net/11104/0161053 2.303 0.306 >10.0 0.01262 0.524 11069 206 99 2.064 27 2.09 2008 cav_un_epca*0256642 Fuzzy Sets and Systems 0165-0114 1872-6801 Roč. 159 č. 14 2008 1773 1787 Elsevier