Journal of Mathematics and Systems Sciences
Open Access
  • Year: 2017
  • Volume: 13
  • Issue: 1and2

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

  • Author:
  • G. Nirmala1, S. Priyadarshini2
  • Total Page Count: 4
  • Page Number: 19 to 22

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.

Keywords

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