Novel Decomposed Fermatean Fuzzy Sets and an Application to TOPSIS Method
2025 International Conference on Intelligent and Fuzzy Systems-INFUS-Annual, İstanbul, Türkiye, 29 - 31 Temmuz 2025, cilt.1528, ss.262-269, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1528
- Doi Numarası: 10.1007/978-3-031-97985-9_30
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.262-269
- İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet
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.