\(q\)-rung orthopair fuzzy points and applications to \(q\)-rung orthopair fuzzy topological spaces and pattern recognition. (English) Zbl 1523.54013
Acharjee, Santanu (ed.), Advances in topology and their interdisciplinary applications. Singapore: Springer. Ind. Appl. Math., 245-259 (2023).
Summary: 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.
For the entire collection see [Zbl 1515.54002].
For the entire collection see [Zbl 1515.54002].
MSC:
| 54A40 | Fuzzy topology |
| 54A20 | Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) |
| 68T10 | Pattern recognition, speech recognition |
Keywords:
\(q\)-rung orthopair fuzzy point; \(q\)-rung orthopair fuzzy topology; Dice similarity measure; pattern recognitionReferences:
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