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Journal of Mathematics and Systems Sciences
Year : 2017, Volume : 13, Issue : 1and2
First page : ( 19) Last page : ( 22)
Print ISSN : 0975-5454.

A Study on Properties of Fuzzy Normal Subgroup on P-Fuzzy Algebra

Dr. Nirmala G.1, Dr. Priyadarshini S.2

1Principal, PG and Research, Department of Mathematics, Kunthavai Nachiar Government Arts College (W) Autonomous, Thanjavur, Email: nirmalamanokar11@yahoo.com

2Assistant Professor, Department of Mathematics and Statistics, J.J. College of Arts and Science (Autonomous), Pudukkottai, priya002darshini@gmail.com

Online published on 31 August, 2017.

Abstract

Definition for fuzzy sub-algebras for partially ordered algebra, fuzzy subgroup, congruence class, fuzzy coset and fuzzy normal subgroup are explained. Then we study their connection of P-fuzzy sub-algebras with fuzzy normal subgroup and congruence class.

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Keywords

P-fuzzy subalgebras, fuzzy subgroup, Conjugate fuzzy subsets, fuzzy normal subgroup, congruence class, fuzzy coset.

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