Reductions of multi-covering information systems based on evidence theory

被引:0
作者
Zhang, Shaopu [1 ]
Feng, Tao [2 ,3 ]
机构
[1] Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang
[2] College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang
[3] College of Science, Hebei University of Science and Technology, Shijiazhuang
关键词
Entropy; Evidence theory; Multi-covering system; Pignistic probability function; Reduction;
D O I
10.4156/ijact.vol4.issue16.42
中图分类号
学科分类号
摘要
This paper gives new information entropies based on the evidence theory and discusses the reductions of three different multi-covering systems. Firstly, we propose a new definition of information granule based on a covering system and a new information fusion method whose focal elements are the granules we defined. Then, we define special entropy and conditional entropy of a covering system by pignistic probability function and then study the reductions of multi-covering information systems, consistent multi-covering decision systems and inconsistent multi-covering decision systems. Three algorithms are designed to compute the above three reductions.
引用
收藏
页码:364 / 371
页数:7
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