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Fuzzy t-filters and their properties

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VÍTA Martin

Rok publikování 2014
Druh Článek v odborném periodiku
Časopis / Zdroj Fuzzy Sets and Systems
Fakulta / Pracoviště MU

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Citace
www http://www.sciencedirect.com/science/article/pii/S0165011413004442
Doi http://dx.doi.org/10.1016/j.fss.2013.11.002
Obor Informatika
Klíčová slova Non-classical logics; Algebra; Fuzzy t-filters; t-filters; Fuzzy filters; Residuated lattices
Popis 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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