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Critical Analysis on Implication-based Anti-T-Fuzzy Subgroup Over a Finite Group


M. Selvarathi
Abstract

The notion of implication-base danti-fuzzy subgroup with respect to a t-norm over a finite group G (implication-based anti-T-fuzzy subgroup) is elaborately studied in this paper. Further, some properties of implication-based anti-T-fuzzy subgroup are characterized. The concept of implication-based anti-T-fuzzy normal subgroup is studied. The necessary and sufficient condition for a fuzzy subgroup of a finite group to be an implication-based anti-T-fuzzy subgroup is derived. Subsequently, internal product of implication-based anti-T-fuzzy subgroups over the finite groups is developed. Fundamental properties concerning them are proved in this paper.

Volume 11 | 09-Special Issue

Pages: 1179-1186

DOI: 10.5373/JARDCS/V11/20192689