Dr. CT. Nagaraj, Assistant Professor
Department of Mathematics, Sree Sevugan Annamalai College, Devakottai-630 303, Sivagangai (DT), Tamilnadu, India.
M. Premkumar, Assistant Professor
Department of Mathematics Kongunadu College of Engineering and Technology (Autonomous), Tiruchirappalli-620020, Tamilnadu, India.
On Fundamental Attributes on Homomorphism of -anti- Fuzzy Subgroups
Authors
Abstract
In this paper, we initiate the study of the notion of µ-anti- FSG defined on fuzzy set and probe things that each anti-FSG is µ-anti-FSG. We also prove that the merchandise of two µ-anti-FSGs is µ-anti-FSG. Additionally, we investigate the effect on the image and inverse image of µ-anti- FSG under group homomorphism and establish an isomorphism between the quotient group regard to µ-anti-FSG and quotient group with regard to the normal subgroup HAµ .