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- Title
Novel Distance Measures of q -Rung Orthopair Fuzzy Sets and Their Applications.
- Authors
Wang, Donglai; Yuan, Yige; Liu, Zhe; Zhu, Sijia; Sun, Zhifang
- Abstract
The q-rung orthopair fuzzy sets (q-ROFSs), a novel concept for processing vague information, offer a more potent and all-encompassing method compared to traditional fuzzy sets, intuitionistic fuzzy sets, and Pythagorean fuzzy sets. The inclusion of the parameter q allows for the q-rung orthopair fuzzy sets to capture a broader range of uncertainty of information. In this paper, we present two novel distance measures for q-ROFSs inspired by the Jensen–Shannon divergence, called D J S _ 2 D and D J S _ 3 D , and we analyze some properties they satisfy, such as non-degeneracy, symmetry, boundedness, and triangular inequality. Then, the normalized distance measures, called D J S _ 2 D ˜ and D J S _ 3 D ˜ , are proposed and we verify their rationality through numerical experiments. Finally, we apply the proposed distance measures to practical scenarios, including pattern recognition and multicriteria decision-making, and the results demonstrate the effectiveness of the proposed distance measures.
- Subjects
FUZZY sets; PATTERN recognition systems; PATTERN perception; NORMALIZED measures
- Publication
Symmetry (20738994), 2024, Vol 16, Issue 5, p574
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym16050574