Groups of soft sets


Atagun A. O., AYGÜN E.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.30, sa.2, ss.729-733, 2016 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3233/ifs-151793
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.729-733
  • Anahtar Kelimeler: Soft set, group structure, inverse group of soft sets, characteristic group of soft sets, BCK/BCI-ALGEBRAS, DECISION-MAKING, NEAR-RINGS
  • Erciyes Üniversitesi Adresli: Evet

Özet

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.