IJLTEMASInternational Journal of Latest Technology in Engineering, Management & Applied Science (IJLTEMAS)IJLTEMAS2278-2540IJLTEMAS36010.51583/IJLTEMAS.2026.150900009Fuzzy MathematicsQ-Rung Superposition Fuzzy Subgroups Associated with Normal SubgroupR.NagarajanR.Nagarajan
Department of Mathematics, J.J.College of Engineering and Technology(Sowdambikka Group of Instituitions)Tiruchirappalli-620009.Tamilnadu, India. IndiaK.BalamuruganK.Balamurugan
Department of Mathematics, M.A.M School of Engineering , Siruganur ,Tiruchirappalli-621105, Tamilnadu, India India159103112300920262209202630092026fuzzy setq-rung superposition fuzzy setsuperposition subgroupq-rung superposition fuzzy setCommutative groupHomomorphismPre-imagesAbstract
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.
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