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The reduction and fusion of fuzzy covering systems based on the evidence theory |
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| Authors: | Tao Feng Shao-Pu Zhang |
| Affiliation: | a College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China b College of Science, Hebei University of Science and Technology, Shijiazhuang 050018, China c Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China |
| Abstract: | This paper studies reduction of a fuzzy covering and fusion of multi-fuzzy covering systems based on the evidence theory and rough set theory. A novel pair of belief and plausibility functions is defined by employing a method of non-classical probability model and the approximation operators of a fuzzy covering. Then we study the reduction of a fuzzy covering based on the functions we presented. In the case of multiple information sources, we present a method of information fusion for multi-fuzzy covering systems, by which objects can be well classified in a fuzzy covering decision system. Finally, by using the method of maximum flow, we discuss under what conditions, fuzzy covering approximation operators can be induced by a fuzzy belief structure. |
| Keywords: | Fuzzy covering Approximation operator Reduction Evidence theory Information fusion |
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