Filters in Fuzzy Class Theory

Journal Article

Kroupa Tomáš

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

research: CEZ:AV0Z10750506

project(s): 1M0572GA MŠk, KJB100300502GA AV ČR

keywords: filter, prime filter, fuzzy class theory

abstract (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.

abstract (cze):

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

RIV: BA