Int-Soft Filters in Lattice Implication Algebras

Abstract

Abstract. The notion of int-soft (implicative) filters in lattice implication algebras is introduced, and related properties are investigated. Characterizations of int-soft (implicative) filters are discussed. Conditions for an int-soft filter to be an int-soft implicative filter are provided. Extension property for int-soft implicative filters is established.

MℬJ-Filters on Lattice Implication Algebras

“…In lattice implication algebra, Xu and Qin [2] established the notion of filters and examined its properties. Xu and Qin define the fuzzy filter in lattice implication algebra and discuss some of its characteristics in [3]. Neutrosophic set was defined by Smarandache in 1998 ( [4]).…”