Probabilistic Fuzzy Rough Set Model over Two Universes
Probabilistic Fuzzy Rough Set Model over Two Universes
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DOI：
10.1007/978-3-642-32115-3_9
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发表时间：
2012-08
期刊：
影响因子：
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通讯作者：
B. Sun;Weimin Ma;Haiyan Zhao;Xinxin Wang
中科院分区：
文献类型：
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作者：
B. Sun;Weimin Ma;Haiyan Zhao;Xinxin Wang
作为Pawlak粗糙集的一种新推广，两个宇宙上的粗糙集理论和应用引起了各领域学者的关注。在本文中，我们通过将概率测度引入两个宇宙上的模糊相容近似空间，提出了一种新的概率模糊粗糙集模型。也就是说，本文定义的模型同时包括两个宇宙上的概率粗糙集和模糊粗糙集。任意子集的概率模糊粗糙下近似算子和上近似算子由两个不同宇宙之间的模糊兼容关系的概念定义。由于下近似和上近似有两个参数，我们还给出了在两个宇宙框架下具有不同参数组合的概率模糊粗糙集模型的其他定义。此外，我们详细讨论了所建立模型的属性并提出了一些有价值的结论。结果表明该模型具有更广泛的应用领域。
As a new generalization of Pawlak rough set, the theory and applications of rough set over two universes has brought the attention by many scholars in various areas. In this paper, we propose a new model of probabilistic fuzzy rough set by introducing the probability measure to the fuzzy compatibility approximation space over two universes. That is, the model defined in this paper included both of probabilistic rough set and fuzzy rough set over two universes. The probabilistic fuzzy rough lower and upper approximation operators of any subset were defined by the concept of the fuzzy compatible relation between two different universes. Since there has two parameters in the lower and upper approximations, we also give other definitions for probabilistic fuzzy rough set model under the framework of two universes with different combination of the parameters. Furthermore, we discuss the properties for the established model in detail and present several valuable conclusions. The results show that this model has more extensively applied fields.