Grade Multi-Granulation Soft Rough Set Model

doi:10.3778/j.issn.1673-9418.1808010

Journal of Frontiers of Computer Science and Technology ›› 2019, Vol. 13 ›› Issue (10): 1793-1800.DOI: 10.3778/j.issn.1673-9418.1808010

Grade Multi-Granulation Soft Rough Set Model

SUN Wenxin, LIU Yufeng, ZHUO Chunying

1. Chongqing Water Resources and Electric Engineering College, Chongqing 402160, China
2. City College of Science and Technology, Chongqing University, Chongqing 402160, China

Online:2019-10-01 Published:2019-10-15

程度多粒度软粗糙集模型

孙文鑫，刘玉锋，卓春英

1. 重庆水利电力职业技术学院，重庆 402160

2. 重庆大学城市科技学院，重庆 402160

Abstract

Abstract: In recent years, the research on multi-granulation rough set has become one of the hottest researches. In this paper, a new model of the grade multi-granulation soft rough set is presented, which is between optimistic multi-granulation soft rough set and pessimistic multi-granulation soft rough set. Firstly, the grade multi-granulation soft rough set is established by count function. Secondly, the properties of approximation operators are studied. What??s more, the uncertainty measure of grade multi-granulation soft rough set is defined and the properties are studied. Finally, an example diagnosis of patient in hospital illustrates the feasibility of this model.

Key words: multi-granulation, soft set, rough set, measure

摘要： 多粒度粗糙集的研究是近几年来研究的热门课题之一。提出了一种介于乐观和悲观多粒度软粗糙集的新模型——程度多粒度软粗糙集。首先，通过计数函数建立了程度多粒度软粗糙集模型；其次，讨论了程度多粒度软粗糙近似算子的性质；再次，定义并研究了程度多粒度软粗糙集的不确定性度量及性质；最后，通过医院对病人诊断的案例验证了模型的实用性。

关键词: 多粒度, 软集, 粗糙集, 度量

SUN Wenxin, LIU Yufeng, ZHUO Chunying. Grade Multi-Granulation Soft Rough Set Model[J]. Journal of Frontiers of Computer Science and Technology, 2019, 13(10): 1793-1800.

孙文鑫，刘玉锋，卓春英. 程度多粒度软粗糙集模型[J]. 计算机科学与探索, 2019, 13(10): 1793-1800.

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Grade Multi-Granulation Soft Rough Set Model

程度多粒度软粗糙集模型

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