An investigation of Boolean filter and Boolean pseudofilter over a residuated lattice in multiset and anti-multiset contexts

Abstract

Abstract In this paper, the concepts of multiset Boolean filter, multiset Boolean pseudofilter, anti-multiset Boolean filter, and anti-multiset Boolean pseudofilter are introduced. Also, the relation between multiset Boolean filter(pseudofilter) and some other types of multiset filters(pseudofilters) are given.