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Rough law generation and its separation-recognition
Authors:Li Dongya  Ren Xuefang  Shi Kaiquan
Affiliation:1. Dept. of Mathematics and System Science, Huanghuai Univ., Zhumadian 463000, P. R. China;School of Mathematics and System Science, Shandong Univ., Jinan 250100, P. R. China
2. School of Mathematics and Computer Science, Longyan 364000, P. R. China
3. School of Mathematics and System Science, Shandong Univ., Jinan 250100, P. R. China
Abstract:By using function S-rough sets (function singular rough sets), this paper gives rough law generation and the theorem of rough law generation. Based on these results above, the paper proposes rough law separation, the theorem of rough law separation, the compound generation theorem of rough law bands, and the principle of rough law bands. In the end, an application of rough law separation in recognizing the risk law of profit is presented.
Keywords:function one-directional S-rough set  dual of function one-directional S-rough set  rough law  law separation  the theorem of law separation  the principle of rough law band  application
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