Abstract:

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.