基于隶属函数的模糊覆盖粗糙集新模型  

New Models of Fuzzy Covering Rough Sets Based on Membership Function

作　　者：高璐 姚炳学[1] GAO Lu;YAO Bingxue(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China)

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2022年第5期21-30,共10页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目(12171220);山东省自然科学基金项目(ZR2020MA042)资助。

摘　　要：结合单位区间[0,1]上的否定运算,引入了基于隶属函数的模糊覆盖粗糙集新模型和β-模糊覆盖粗糙集新模型。其中,前者注重模糊覆盖中成员对目标模糊集在整体上的隶属关系,后者强调模糊覆盖中成员对目标模糊集在层次上的隶属关系。最后研究了新模型的基本性质,并建立了其与已有粗糙集模型的联系。Combined with an arbitrary negation operation the unit interval[0,1],the new models of fuzzy covering rough sets based on membership function and theβ-fuzzy covering rough sets are introduced respectively.In which,the former model emphasizes the the overall membership of the members of fuzzy covering to the target fuzzy set,while the latter model emphasizes the level inclusion of members of fuzzy covering to the target fuzzy set.Then the basic properties of the new models are discussed and their connections with the existing rough sets are established.

关 键 词：粗糙集 模糊集 覆盖 近似算子 

分 类 号：O159[理学—数学] TP18[理学—基础数学]