Prime fuzzy (implicative) MP-filters of R0-algebras

Abstract

The filter, also called a “deductive systems”, is the basic tool in the study of logical algebras and the completeness of the corresponding non-classical logics. The aim of this paper is to investigate prime fuzzy MP-filters and prime fuzzy implicative MP-filters of R0-algebras. In the absence of the condition that A is a fuzzy filter, the equivalent conditions of A being a (prime) fuzzy implicative filter which it necessitates to satisfy are concretely investigated and whose some related properties are specifically enumerated. Meanwhile, we also point out a little mistake occurred in Liu and Li’s paper.