多属性直觉模糊容差粗糙集模型  

Multiple attribute intuitionistic fuzzy tolerance rough set models

作　　者：徐伟华 苑克花 李文涛[1] XU Weihua;YUAN Kehua;LI Wentao(College of Artificial Intelligence,Southwest University,Chongqing 400715;School of Mathematics and Statistics,Southwest University,Chongqing 400715)

机构地区：[1]西南大学人工智能学院,重庆400715 [2]西南大学数学与统计学院,重庆400715

出　　处：《南京信息工程大学学报（自然科学版）》2020年第3期284-288,共5页Journal of Nanjing University of Information Science & Technology（Natural Science Edition）

基　　金：国家自然科学基金(61772002,61976245);中央高校基本科研业务费项目(XD⁃JK2019B029,SWU119063)。

摘　　要：在直觉模糊信息系统的背景下提出了基于容差关系的直觉模糊粗糙集模型,从乐观悲观两个角度出发对目标集进行刻画,是对目标集的一种新的逼近方法,同时,可以发现乐观与悲观上下近似的关系.通过求解近似精度可以发现乐观直觉模糊粗糙集模型的近似精度更高.最后给出实证分析,进一步验证结论的有效性.This paper proposes the intuitionistic fuzzy rough set models based on tolerance relation in intuitionistic fuzzy information system,in which the target concept is described from two aspects of optimistic and pessimistic,which is a new approximation method for target concept.In addition,some relationship is found between optimistic and pessimistic approximations.The approximate accuracy of optimistic intuitionistic fuzzy tolerance rough set is higher than that that of the pessimistic one according to the definition of approximation accuracy.Finally,the empiri⁃cal analysis is provided,which verifies the effectiveness of the presented method.

关 键 词：直觉模糊信息系统 直觉模糊容差粗糙集 概念近似 近似精度 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] O159[自动化与计算机技术—控制科学与工程]