Groups of soft sets

Atagun A. O., AYGÜN E.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, vol.30, no.2, pp.729-733, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.3233/ifs-151793
  • Journal Name: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.729-733
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this paper, we introduce two new operations on soft sets, called inverse production and characteristic production, by using Molodtsov's definition of the soft sets. We prove that the set of all soft sets over a universe U is an abelian group under the each operations and called "the inverse group of soft sets" and "the characteristic group of soft sets". We finally show that these groups are isomorphic.