%0 Journal Article
%T Positive implicative BE-filters of BE-algebras based on Lukasiewicz fuzzy sets
%J Journal of Algebraic Hyperstructures and Logical Algebras
%I Hatef College University
%Z 2676-6000
%A Jun, Y.B.
%D 2023
%\ 05/01/2023
%V 4
%N 1
%P 1-11
%! Positive implicative BE-filters of BE-algebras based on Lukasiewicz fuzzy sets
%K piBE-filter
%K fpiBE-filter LfBEalgebra
%K LfBE-filter
%K pi LfBEfilter
%K E-set
%K q-set
%K O-set
%R 10.52547/HATEF.JAHLA.4.1.1
%X Lukasiewicz fuzzy set is applied to positive implicative filter of BE-algebra. The notion of positive implicative Lukasiewiczfuzzy BE-filters is introduced, and its properties are investigated. The relationship between fuzzy positive implicative BE-filter and positive implicative Lukasiewicz fuzzy BE-filter is discussed, and conditions under which Lukasiewicz fuzzy BE-filter can be positive implicative Lukasiewicz fuzzy BE-filter are explored. Characterizations of positive implicative Lukasiewicz fuzzy BE-filter are provided. Conditions for Lukasiewicz fuzzy set to be positive implicative Lukasiewicz fuzzy BE-filter are considered. Conditions are found where E-set, q-set, and O-set of the Lukasiewicz fuzzy set can be positive implicative BE-filter.
%U https://jahla.hatef.ac.ir/article_170311_c15f0995fd428ce2ab5693b41b8eb790.pdf