Fuzzy t-filters and their Properties

Autoři: Mgr. Martin Víta, Ph.D.
Rok vydání: 2014
Typ publikace: Článek v odborném periodiku
Periodikum: Fuzzy Sets and Systems
Projekty: Matematická fuzzy logika v informatice
Bibliografická citace: VÍTA, Martin. Fuzzy t-filters and their Properties. Fuzzy Sets and Systems. 2014, 247(16 July), 127-134. ISSN 0165-0114. E-ISSN 1872-6801
Dostupné z: doi:10.1016/j.fss.2013.11.002
DOI: 10.1016/j.fss.2013.11.002
ID: 425358

Abstrakt

Fuzzification of special types of filters on several different algebras of many-valued logics has been very popular in recent years. The main aim of this paper is to point out some general principles concerning particular results about fuzzification of special types of filters. We introduce the notion of a fuzzy t-filter which generalizes most types of special fuzzy filters (e.g. fuzzy implicative, fuzzy boolean, fuzzy fantastic, etc.) and prove some basic properties of fuzzy t-filters.