Similarity measure for soft matrices and its applications

KAMACI H.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.36, sa.4, ss.3061-3072, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3233/jifs-18339
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3061-3072
  • Anahtar Kelimeler: Soft set, soft matrix, symmetric difference, similarity measure, significantly similar, SET-THEORY
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, the symmetric difference operation for each of the soft sets and the soft matrices is defined and then their related properties are derived. Also, the concept of similarity measure for the soft matrices is introduced. Thus, we pioneer the budding phase of the use of soft matrices to find the similarity of soft sets. Through the soft matrices, we develop the Scilab code which facilitates the computation process of similarity measure among the soft sets composed of many parameters and alternatives. Moreover, it is shown with several examples that the similarity measure can be used for some cases involving the uncertainties in various areas. To confirm the consistency of the emerging similarity measure, we make comparisons with the preexisting similarity measures for the soft sets.