Q-Rung Superposition Fuzzy Subgroups Associated with Normal Subgroup

In this paper, we study the concept of q-rung fuzzy set (q-RFS) to introduce the concepts of q-rung fuzzy abelian subgroups (q-RFAS), q-rung superposition fuzzy normal subgroups (q-RSFNS) and its properties. Also, we study those concepts in terms of cartesian product q-rung superposition fuzzy sets. Finally, homomorphic images and pre image of q-rung superposition fuzzy sets are established.

fuzzy set, q-rung superposition fuzzy set, superposition subgroup, q-rung superposition fuzzy set, Commutative group, Homomorphism, Pre-images

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