• NEUTROSOPHIC (Q, L)-FUZZY SUBGROUP

K. THIRUSANGU*, S. POORNAVEL, R. VASUKI

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.


Keywords


neutrosophic Q-fuzzy set, neutrosophic Q-fuzzy subgroup (NQLFG), neutrosophic Q-fuzzy normal subgroup.

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