Publication details

Fuzzy t-filters and their properties


VÍTA Martin

Type Article in Periodical
Magazine / Source Fuzzy Sets and Systems
MU Faculty or unit

Faculty of Informatics

Field Informatics
Keywords Non-classical logics; Algebra; Fuzzy t-filters; t-filters; Fuzzy filters; Residuated lattices
Description 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. (C) 2013 Elsevier B.V. All rights reserved.
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