Multiple Criteria Group Decision-Making using Fermatean Fuzzy Soft Matrices and Their Medical Applications


Kirişci M.

JOURNAL OF UNCERTAIN SYSTEMS, cilt.17, sa.2, ss.1-28, 2024 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s1752890924400075
  • Dergi Adı: JOURNAL OF UNCERTAIN SYSTEMS
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1-28
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

A novel hybrid tool called a Fermatean fuzzy soft environment combines the strengths of a Fermatean fuzzy set with that of a parametric tool soft set to handle ambiguous and uncertain circumstances in various mathematical problems. This article introduces Fermatean fuzzy soft matrices, a brand-new algebraic methodology. We define the basic set operations and several algebraic operations, such as complement, union, intersection, addition, subtraction, multiplication, and scalar multiplication, on Fermatean fuzzy soft matrices and show the corresponding features of these operations. Additionally, the Fermatean fuzzy soft matrices have been considered when developing two new decision-making algorithms that use score-utility and choice-weighted choice matrices. Each of the applications has been successfully illustrated using numerical examples. Finally, a brief comparison between the proposed model and several earlier models is offered to ensure the viability of the suggested strategy.