Abstract
This paper on the basis of fuzzy sets introduced by L.A Zadeh , we first gave the definition of - fuzzy set and then defined -fuzzy subgroups and - fuzzy normal subgroups and finally, defined quotient group of the - fuzzy cosets of an -fuzzy normal subgroup. This paper, we introduce the concepts of Q-fuzzy normal sub groups and Q-fuzzy cosets and discussed some of its properties.
Highlights
The concept of fuzzy sets is introduced by Zadeh [10]
Solairaju [3] gave the idea of Q-Fuzzy Normal sub Groups
This paper contains some definitions and results in Q-fuzzy normal subgroup theory and cosets, which are required in the equel
Summary
The concept of fuzzy sets is introduced by Zadeh [10]. It has become a strong area of research in engineering, medical science, Social science and Graph Theory etc.,. Solairaju [3] gave the idea of Q-Fuzzy Normal sub Groups. Sunderrajan and Senthilkumar[8] introduce and define a L-Fuzzy normal Sub l-groups. Sithar Selvam[7] discussed properties of Anti –Q-Fuzzy Normal Subgroups. In this paper we define a new algebraic structure of QFuzzy normal subgroups and Q-Fuzzy cosets and study some of their properties. This paper contains some definitions and results in Q-fuzzy normal subgroup theory and cosets, which are required in the equel. Some theorems are introduced in this paper which have been used by homomorphism and anti-homomorphism of Qfuzzy normal subgroups
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