Fuzzy-Fated Filters of R-0-Algebras

Abstract

Fuzzy set theory of fated filters in R-0-algebras is considered. A characterization of a fuzzy-fated filter is established, and conditions for a fuzzy filter to be a fuzzy-fated filter are provided. The notion of an (is an element of, is an element of Vq)-fuzzy-fated filter is introduced. Characterizations of an (is an element of, is an element of Vq)-fuzzy-fated filter are provided. Implication-based fuzzy-fated filters are discussed.