基于θ算子的变精度直觉模糊粗糙集  

Variable Precision Intuitionistic Fuzzy Rough Set Based on θ Operator

作　　者：薛占熬[1,2] 袁艺林[1,2] 辛现伟 韩丹杰 

机构地区：[1]河南师范大学计算机与信息工程学院,新乡453007 [2]河南师范大学智慧商务与物联网技术河南省工程实验室,新乡453007

出　　处：《模式识别与人工智能》2017年第8期692-701,共10页Pattern Recognition and Artificial Intelligence

基　　金：国家自然科学基金项目(No.61273018);河南省基础与前沿技术研究计划项目(No.132300410174);河南省教育厅计划项目(No.14A520082);新乡市重点科技攻关计划项目(No.ZG14020)资助~~

摘　　要：在模糊近似空间中,结合直觉模糊集的隶属度、非隶属度与模糊蕴涵算子,提出基于θ算子和θ*算子的直觉模糊集及其隶属度和非隶属度的概念,并证明它们一系列性质.然后,结合直觉模糊集与变精度粗糙集,定义基于θ算子的变精度直觉模糊粗糙集,提出求解变精度粗糙集阈值参数β的方法,使用算例分析该方法.In the fuzzy approximation space, combing the membership degree and non membership degree of the intuitionistic fuzzy sets with fuzzy implication operator, the concept of intuitionistic fuzzy and its membership degree and non membership degree based on θ operator and θ＊ operator are presented and their properties are proved. Then, integrating the intuitionistic fuzzy set and the variable precision rough set, a variable precision intuitionistic fuzzy rough set is defined based on θoperator. A method to solve the threshold parameterβ of variable precision rough set is put forward. Finally, an example for analyzing the method is provided.

关 键 词：模糊蕴涵算子 直觉模糊集 变精度粗糙集 隶属度 

分 类 号：O159[理学—数学]