Covering-based rough sets process data organized by a covering of the universe. A soft set is a parameterized family of subsets of the universe. Both theories can deal with the uncertainties of data. Soft sets have not any restrictions on the approximate description of the object, and they might form a covering of the universe. From this viewpoint, we establish a connection between these two theories. Specifically, we Propose a complementary parameter for this purpose. With this parameter, the soft covering approximation space is established and the two theories are bridged.Furthermore, we study some relations between the covering and the soft covering approximation space and obtain some significant results. Finally, we define a notion of combine parameter which can help us to simplify the set of parameters and reduce the storage requirement of a soft covering approximation space.
Complementary parametercoveringbased rough setscovering-elementsoft set
Jian-Guo Tang、Kun She、Yu-Qi Wang
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School of Computer Science and Engineering,University of Electronic Science and Technology of China, Chengdu 611731, China
School of Computer Science and Engineering, Xinjiang University of Finance and Economics, Urumqi 830012, China
Key Lab of Granular Computing, Zhangzhou Normal University, Zhangzhou 363000, China
国家自然科学基金Science Research Project of Zhangzhou Normal University
国家科技期刊平台
NSTL
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