Fuzzy t-filters and their Properties

Authors: Martin Víta
Publication year: 2014
Publication type: Článek v odborném periodiku
Periodical: Fuzzy Sets and Systems
Projects: Mathematical Fuzzy Logic in Computer Science
Bibliographic citation: 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

Abstract

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.