A Study on Neutrosophic Q Fuzzy Groups

Abstract

Algebraic structures play an important role in mathematics with wide range of application in many fields. This research work contributes the algebraic investigations on various fuzzy groups such as neutrosophic Q-fuzzy subgroup,(Q, L)-fuzzy subgroup, (Q, L)- M-fuzzy subgroup,Q Intuitionistic L-fuzzy subring, neutrosophic fuzzy ideal in a near ring, fuzzy soft R-ideal andand#61511;fuzzy M-group, m-polar neutrosophic fuzzy sub group, Q- R-idealistic soft BCI-algebra, and#945;-neutrosophic Q-fuzzy subgroup, neutrosophic anti fuzzy subgroup, bi polar anti Q-fuzzy Left R -Subgroups of near-rings with respect to S-norm. Some equivalent characterizations of direct product of (Q,L)-fuzzy groups by means of Q-level subsets are discussed. Introduced the concept of neutrosophic Q- fuzzy set and derived the results on neutrosophic Q-fuzzy subgroups and neutrosophic Q fuzzy normal subgroups. The concept of m-polar neutrosophic fuzzy set, and m-polar neutrosophic fuzzy sub groups are introduced, and some algebraic properties are analysed. Also,discussed about the direct product of m-polar neutrosophic fuzzy sub groups. A new class of Q-fuzzy gamma M- subgroup of a group are introduced and characterization of some properties of gamma M-groups with respect to t-norms are discussed. Established some new results on Q-intuitionistic L-fuzzy subring of a ring. newline