A Short Note on t-filters, I-filters and Extended Filters on Residuated Lattices

Authors: Martin Víta
Publication year: 2015
Publication type: Článek v odborném periodiku
Periodical: Fuzzy Sets and Systems
Projects: Mathematical Fuzzy Logic in Computer Science
Bibliographic citation: VÍTA, Martin. A Short Note on t-filters, I-filters and Extended Filters on Residuated Lattices. Fuzzy Sets and Systems. 2015, 271(15 July), 168-171. ISSN 0165-0114. E-ISSN 1872-6801
Dostupné z: doi:10.1016/j.fss.2014.10.032
DOI: 10.1016/j.fss.2014.10.032
ID: 442866

Abstract

The notion of a t-filter on residuated lattices was introduced in order to generalize a big amount of particular results about special types of filters (e.g. implicative, positive implicative, fantastic etc.). In this short note we are going to point out the relationship between t-filters and I-filters and also between t-filters and extended filters on residuated lattices.