in: Advances in Topology and Their Interdisciplinary Applications , Santanu Acharje, Editor, Springer Nature, Singapore, pp.245-259, 2023
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.