Divisible and pure intuitionistic fuzzy subgroups and their properties

YAMAK S., Kazanc O., Davvaz B.

INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, vol.10, no.4, pp.298-307, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 4
  • Publication Date: 2008
  • Journal Name: INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.298-307
  • Keywords: Divisible intuitionistic fuzzy subgroups, intuitionistic fuzzy subgroups, and pure intuitionistic fuzzy subgroups, OPERATIONS, IDEALS
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, we study divisible (pure) intuitionistic fuzzy subgroups. Firstly, we define a special intuitionistic fuzzy subset on a group. Using this intuitionistic fuzzy subset, we obtained some new properties of it. Secondly, we define divisible (pure) intuitionistic fuzzy subgroups on a commutative group and investigate some properties. Lastly, we give some applications with level subsets of a divisible (pure) intuitionistic fuzzy subgroup.