q-Rung Orthopair Fuzzy Points and Applications to q-Rung Orthopair Fuzzy Topological Spaces and Pattern Recognition
Advances in Topology and Their Interdisciplinary Applications , Santanu Acharje, Editör, Springer Nature, Singapore, ss.245-259, 2023
- Yayın Türü: Kitapta Bölüm / Araştırma Kitabı
- Basım Tarihi: 2023
- Yayınevi: Springer Nature
- Basıldığı Şehir: Singapore
- Sayfa Sayıları: ss.245-259
- Editörler: Santanu Acharje, Editör
- TED Üniversitesi Adresli: Evet
Özet
In this chapter, we introduce the concept of q-rung orthopair fuzzy point and propose a Dice similarity measure and a distance measure between q-rung fuzzy sets by using the concept of Choquet integral which is a non-linear continuous aggregation operator. Then, we give some applications on pattern recognition by using q-rung orthopair fuzzy points and the Dice similarity measure. Moreover, we introduce the concept of continuity of a function defined between two q-rung orthopair fuzzy topological spaces at a q-rung orthopair fuzzy point and define the concept of convergence of nets of q-rung orthopair fuzzy points in a q-rung orthopair fuzzy topological space. Finally, we study the relationship between continuity of functions and convergence of nets.