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On generalized fuzzy rough sets |
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| Authors: | D. Pei T. Fan |
| Affiliation: | 1. Key Laboratory of Advanced Textile Materials and Manufacturing Technology , Ministry of Education, Zhejiang Sci-Tech University , Hangzhou, 310018, People's Republic of China peidw@163.com;3. Key Laboratory of Advanced Textile Materials and Manufacturing Technology , Ministry of Education, Zhejiang Sci-Tech University , Hangzhou, 310018, People's Republic of China |
| Abstract: | In this paper, a class of generalized fuzzy rough sets based on two universes are studied. Some new set-valued mappings and fuzzy set-valued mappings are introduced to discuss properties of the known model, and a new model for fuzzy rough sets is proposed which provides a new selection of interval structure for uncertainty reasoning using rough set theory. Some properties of the new model are revealed. The new model seems to be more natural in the sense that fuzzy sets are approximated by fuzzy sets on the same universe. |
| Keywords: | generalized fuzzy rough set interval structure approximation operator compatibility relation strong compatibility relation |