Abstract
Subsequently after the insertion of fuzzy sets by L. A. Zadeh indefinite number of researchers interpreted on the generalisation of the notion of fuzzy sets. Fuzzy sets span large arenas of research in engineering, medical sciences, social sciences, graph theory, etc. In this paper we introduce the concept of a Q-Fuzzy normal subgroup and Q-fuzzy characteristic subgroup and with the help of a Klein-4 Group we study the interaction between them.
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