A New Uncertainty Measure of Covering-Based Rough Interval-Valued Intuitionistic Fuzzy Sets
| Autor: | Wanrong Zheng, Ligang Zhou, Tingting Zheng, Maoyin Zhang |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
General Computer Science Fuzzy set Intuitionistic fuzzy Monotonic function 02 engineering and technology Measure (mathematics) covering approximation space 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Applied mathematics General Materials Science Mathematics Basis (linear algebra) General Engineering Covering-based rough intuitionistic fuzzy set (CRIFS) extended uncertainty measure criterion attribute reduction modified roughness Line (geometry) Measurement uncertainty covering-based rough interval-valued intuitionistic fuzzy set (CRIVIFS) 020201 artificial intelligence & image processing lcsh:Electrical engineering. Electronics. Nuclear engineering Rough set lcsh:TK1-9971 |
| Zdroj: | IEEE Access, Vol 7, Pp 53213-53224 (2019) |
| ISSN: | 2169-3536 |
| DOI: | 10.1109/access.2019.2912410 |
| Popis: | Since some existing uncertainty measurement of covering-based rough intuitionistic fuzzy sets (CRIFSs) are unreasonable in some cases, an extended uncertainty measure criterion of CRIFSs is proposed. The discussion of the monotonicity of the criterion is further refined and more in line with the actual problem description. Taken into account this a modified roughness method is introduced, which is an uncertainty measure of CRIFSs satisfying the extended criterion. Furthermore, the criterion is extended to covering-based rough interval-valued intuitionistic fuzzy sets (CRIVIFSs), and the modified roughness method is proposed to measure the uncertainty of CRIVIFSs. Finally, the example is presented to illustrate the application of the modified roughness to attribute reductions. These conclusions provide a theoretical basis for the rationality (or irrationality) of existing uncertainty measures and also promote the application of CRIVIFSs. |
| Databáze: | OpenAIRE |
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