Novel Decomposed Fermatean Fuzzy Sets and an Application to TOPSIS Method

TÜYSÜZ N., TÜYSÜZ F.

7th International Conference on Intelligent and Fuzzy Systems, INFUS 2025, İstanbul, Türkiye, 29 - 31 Temmuz 2025, cilt.1528 LNNS, ss.262-269, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1528 LNNS
  • Doi Numarası: 10.1007/978-3-031-97985-9_30
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.262-269
  • Anahtar Kelimeler: Decomposed fuzzy sets, Fermatean fuzzy sets, TOPSIS method
  • İstanbul Üniversitesi Adresli: Hayır

Özet

This study proposes novel decomposed Fermatean fuzzy sets that incorporate membership and non-membership functions with functional and dysfunctional perspectives. First, definitions, basic arithmetic operations of decomposed Fermatean fuzzy sets are presented. Then, a novel decomposed Fermatean fuzzy TOPSIS method is developed to demonstrate the ability of the proposed decomposed Fermatean fuzzy sets to be modeled by multi-criteria decision making methods. In order to show its usefulness, an illustrative example is finally provided.