Fermatean Fuzzy Information Application: Three-Way Conflict Analysis with Sectioning and Fusion


Creative Commons License

Kirişci M.

The 2nd International Conference on Big Data Computing and Modeling (ICBDCM2025), Beijing, Çin, 27 - 28 Mart 2025, ss.1-12, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Beijing
  • Basıldığı Ülke: Çin
  • Sayfa Sayıları: ss.1-12
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

One important and widely used method for dealing with uncertainty in various fields is the Fermatean Fuzzy Set theory. In contrast to intuitionistic and Pythagorean fuzzy sets, Fermatean fuzzy sets promise to handle vagueness better by offering a cubic sum of membership and non-membership values. There are Fermatean fuzzy information systems for conflicts where Fermatean fuzzy numbers represent agents' attitudes toward topics. To demonstrate how to compute "positive," "neutral," and "negative" alliances in Fermatean fuzzy information systems for conflicts, we first introduce the concepts of "positive," "neutral," and "negative" alliances with two thresholds. We then use examples to support our arguments. Next, using examples to demonstrate how to calculate the "positive," "neutral," and "negative" alignments using an expert's Fermatean fuzzy loss function, we concentrate on three-way conflict analysis based on the Bayesian minimal risk theory. The second goal of this work is to propose two novel multi-measure-based techniques under uncertainty represented by Fermatean fuzzy sets. We present three conflict measures about a subject using the maximum "positive" and "negative" agents. The final goal of this research is to propose two novel multi-measure-based techniques under uncertainty represented by Fermatean fuzzy sets. Using maximal "positive" and "negative" agents (support degrees, opposition degrees, and both support and opposition degrees), we present three different conflict metrics for a subject. We combine two fundamental tasks, sectioning, and fusion, to provide two models for multiple challenges.