基于倾向性的直觉模糊相似度量方法

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。

Intuitionistic fuzzy similarity measure approach based on orientation

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 interacting factors which directly affect intuitionistic fuzzy similarity are revealed and then three dimensional illustration 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 proposed approach is correct, reasonable and valid.