On similarity and entropy of neutrosophic soft sets

Sahin R., KÜÇÜK A.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.27, sa.5, ss.2417-2430, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3233/ifs-141211
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2417-2430
  • Anahtar Kelimeler: Soft set, neutrosophic set, neutrosophic soft set, hamming distance, euclidean distance, similarity measure, entropy, multicriteria decision-making, THEORETIC APPROACH
  • Atatürk Üniversitesi Adresli: Evet

Özet

Molodtsov [35] initiated the soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. Maji [30] defined the concept of neutrosophic soft set which is based on a combination of the neutrosophic set and soft set models. In this paper, we give the notion of neutrosophic soft set with a new style and present some algebraic properties. We define several distance measures between neutrosophic soft sets and give an axiomatic definition of neutrosophic entropy for a neutrosophic soft set. To find the most ideal alternatives from all possible alternatives, we propose a method based on similarity measure. Thus we can rank all possible alternatives. Finally, the proposed similarity measure is applied to a multicriteria decision making problem.