Článek v odborném periodiku

Fuzzy Sets and Systems

2008

14 (2008)

1773-1787

0165-0114

Ing. Tomáš Kroupa, Ph.D. (ÚTIA - Oddělení matematické teorie rozhodování)

filter, prime filter, fuzzy class theory

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.