A Many-Valued Approach to Fuzzy Rough Set

摘要：

In this paper, in the framework of many-valued logic, the crisp lower and upper approximation operators of rough set theory are generalized to fuzzy environment, and the basic properties of that two operators are studied. Also, it is proved that our upper approximation operator is a generalization of T-upper fuzzy approximation operator defined by Mi cf. J.S. Mi, Y. Leung, H.Y. Zhao, T. Feug, Generalized fuzzy rough sets determined by a triangular norm, Information Sciences 178(2008) 3203-3213, but the lower approximation is quite different from the corresponding T lower fuzzy approximation operator.

关键词： Residuated lattice fuzzy rough set Fuzzy relation Many-valued logic

作者: Qiu Jin Lingqiang Li Guangwu Meng ShouBin Sun

作者单位: Department of Mathematics, Liaocheng University, Liaocheng, Shandong, 252059, China

会议类型: 国际会议

会议名称: 2010 International Conference on Intelligent Computation Technology and Automation(2010 智能计算技术与自动化国际会议 ICICTA 2010)

会议地点: 长沙

会议语种:英文

页码: 148-150

在线出版日期: 2010-05-11（万方平台首次上网日期，不代表论文的发表时间）