• NEUTROSOPHIC (Q, L)-FUZZY SUBGROUP

Abstract

Goguen [1967] introduced L-fuzzy set. Murali [1991] analyzed lattice of fuzzy algebras and closure systems.  Saibaba [2008] initiated fuzzy lattice ordered groups, and studied many properties on fuzzy lattice. Swamy and Raju [1991] gave a detailed findings on algebraic fuzzy system.  In this paper, the notion of neutrosophic (Q, L)-fuzzy subgroup is introduced, and discussed some of its basic algebraic properties .Also the results on homomorphic image, pre image of neutrosophic (Q, L)-fuzzy subgroup are derived. Proved findings are that the direct product of any two neutrosophic (Q, L)-subgroups is a neutrosophic (Q, L)-fuzzy subgroup, and it is extended for finite number of neutrosophic groups.