Publication details

A short note on t-filters, I-filters and extended filters on residuated lattices

Authors

VÍTA Martin

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

Faculty of Informatics

Citation
WWW http://www.sciencedirect.com/science/article/pii/S0165011414004886
Doi http://dx.doi.org/10.1016/j.fss.2014.10.032
Field General mathematics
Keywords t-filters; I-filters; Extended filters; Residuated lattices
Description 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 II-filters and also between t-filters and extended filters on residuated lattices.
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