Improvements on Correlation Coefficients of Hesitant Fuzzy Sets and Their Applications
| Autor: | Xin Guan, Xiao Yi, Guidong Sun, Zheng Zhou |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Correlation coefficient
Computer science HFSS Stochastic process Cognitive Neuroscience Fuzzy set 02 engineering and technology computer.software_genre Computer Science Applications Correlation 03 medical and health sciences 0302 clinical medicine 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Point (geometry) Computer Vision and Pattern Recognition Data mining Medical diagnosis Focus (optics) computer 030217 neurology & neurosurgery |
| Zdroj: | Cognitive Computation. 11:529-544 |
| ISSN: | 1866-9964 1866-9956 |
| DOI: | 10.1007/s12559-019-9623-z |
| Popis: | Hesitant fuzzy set (HFS) can express the hesitancy and uncertainty according to human’s cognitions and knowledge. The decision making with HFSs can be regarded as a cognitive computation process. Decision making based on information measures is a hot topic, among which correlation coefficient is an important direction. Although many correlation coefficients of HFSs have been proposed in the previous papers, they suffer from different counter-intuitions to a certain extent. Therefore, we mainly focus on improving these counter-intuitions of the existing correlation coefficients of HFSs in this paper. We point out the counter-intuitions of the existing correlation coefficients of HFSs and analyze the reasons of them in the view of the rigorous mathematics and stochastic process rules. We improve these counter-intuitions and develop the correct versions. Moreover, we use two examples about medical diagnosis and cluster analysis to compare the improved correlation coefficients with the existing ones. The improved correlation coefficients can handle the examples well. Further, combining with the comparison analysis, the accuracy and discrimination property of the improved correlation coefficients are demonstrated in detail, which shows the advantages of them. The notion of the improved correlation coefficients can benefit other types of fuzzy sets too. |
| Databáze: | OpenAIRE |
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