Characterizations of Fuzzy Fated Filters of $R_0$-Algebras Based on Fuzzy Points

Abstract

More general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy subset is considered, and generalization of fuzzy fated of R0-algebras is discussed. The notion of an (∈, ∈ ∨ q k )-fuzzy fated filter in a R0-algebra is introduced, and several properties are investigated. Characterizations of an (∈, ∈ ∨ q k )-fuzzy fated filter in an R0-algebra are discussed. Using a collection of fated filters, a (∈, ∈ ∨ q k )-fuzzy fated filter is established.