基于倾向性的直觉模糊相似度量方法  

Intuitionistic fuzzy similarity measure approach based on orientation

作　　者：王毅[1,2] 刘三阳[1] 程月蒙[2] 余晓东[2] 

机构地区：[1]西安电子科技大学数学与统计学院,陕西西安710071 [2]空军工程大学防空反导学院,陕西西安710051

出　　处：《系统工程与电子技术》2015年第4期863-867,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金(61402517);中国博士后基金(2013M542331);国家重点实验室开放基金(2012ADL-DW0301);陕西省自然科学基金(2013JQ8035)资助课题

摘　　要：针对现有直觉模糊相似度量所存在的不足,提出一种基于倾向性的直觉模糊相似度量方法。首先,基于直觉指数所表征的中立证据中支持与反对的程度呈均衡状态假设,揭示了影响直觉模糊集相似性大小的3个相互作用因素之间的内部关系,给出了相似度量的几何表示。其次,对现有部分相似度量方法在某些情况下无法表述的问题进行了分析,定义了满足直觉模糊相似性的直观约束条件,给出一种直觉模糊相似度量的公理化定义。再次,揭示了直觉指数对证据的倾向性影响,提出了一种基于倾向性的直觉模糊相似度量方法。最后,通过算例分析比较,验证该方法的正确性、合理性、有效性。A approach to intuitionistic fuzzy similarity measure based on orientation is proposed. Aiming at the deficiency of the present Intuitionistic fuzzy similarity measures. First, the internal relationships of three in- teracting factors which directly affect intuitionistic fuzzy similarity are revealed and then three-dimensional illus- tration is presented based on the hypothesis that the supportability and opposability of neutral evidences are in an equilibrium state indicated by the intuitionistic index. Second, the problems that existing intuitionistic fuzzy similarity measures cannot express are analysed, some explicit constraints for intuitionistic fuzzy similarity are given and thus an axiomatic definition of intuitionistic fuzzy similarity measures is put forward. Third, with the revelation of the impact of intuitionistic index on evidence, a approach to intuitionistic fuzzy similarity measure is proposed. Finally, through analyzing and comparing by a set of calculating examples, it is proved that the pro- posed approach is correct, reasonable and valid.

关 键 词：直觉模糊集 相似度量 直觉指数 倾向性 

分 类 号：TP182[自动化与计算机技术—控制理论与控制工程] TP391[自动化与计算机技术—控制科学与工程]