A Study on MBJ Neutrosophic LI Ideals and Filters in Lattice Implication Algebras

Abstract

The idea of Neutrosophic set (Nset) developed by Smarandache in 1998 [8], newlinewhich encompasses the standard set (intuitionistic) fuzzy set, and interval-valued newlinefuzzy (intuitionistic) set . The Nset was defined after the Neutrosophic elements T, newlineI, F were innovate and indicates the truth-membership, indeterminancy, and falsemembership newlinevalues individually, Jun, his colleagues examined, properties and newlinerelations of BCK/BCI-algebras using the idea of Neutrosophic set theory in [33]. newline The interval Neutrosophic set was then inaugurate in [8]. Furthermore, Interval newlineNeutrosophic ideals were interpreted and several features examined in [33]. In newline[78], they portrayed many types of interval Neutrosophic ideals, analysed some of newlinetheir characteristics, and discovered a relationship between them. Jun also proposed newlinethe concepts of LI-ideals,in [78], and analysed few of their features as well as the newlinerelationship between them . And the concept of Neutrosophic set theory was used newlineto LIA. newline