Granular Structure Merging Algorithm Based on Category Theory

摘要：

In order to solve the problem of conversion from the finer level of granularity to the coarser level of granularity, this paper proposes a formal method for Granular structure merging based on category theory. Firstly, it takes the granular structure as the granular object and the granular structure mapping as the granular morphism, then the granular object and the granular morphism compose the granular structure category. Secondly, it uses the granular morphism and the granular pushout to achieve the granular structure merging , then gets the granular structure merging algorithm (GrSM). Finally, the author illustrates the method with the concrete examples, which solves the granular structure merging issue. This method has a solid mathematical foundation and methodology, which is worth further study.

关键词： Category Theory Granule Granular Structure Granular Structure Mapping Granular Structure Merging

作者: Li Hong Ma Xiaoping

作者单位: School of Information and Electrical Engineering, China University of Mining and Technology,Xuzhou, School of Information and Electrical Engineering, China University of Mining and Technology,Xuzhou,

会议类型: 国际会议

会议名称: 4th International Conference on Measuring Technology and Mechatronics Automation(第四届检测技术与机电自动化国际会议 ICMTMA 2012)

会议地点: 三亚

会议语种:英文

页码: 390-396

在线出版日期: 2012-01-06（万方平台首次上网日期，不代表论文的发表时间）