Fuzzy t-filters and their properties

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Authors	VÍTA Martin
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Fuzzy Sets and Systems
MU Faculty or unit	Faculty of Informatics
Citation
Web	http://www.sciencedirect.com/science/article/pii/S0165011413004442
Doi	http://dx.doi.org/10.1016/j.fss.2013.11.002
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.
Related projects:	Zastoupení ČR v European Research Consortium for Informatics and Mathematics