Similarity of intuitionistic fuzzy sets and its applications

摘要

This paper mainly discusses three points. First of all, four kinds of intuitionistic similarities based on implication operator and the corresponding logical metric spaces are constructed. Secondly, from the perspective of perturbation parameters, different intuitionistic similarities are compared and analyzed by means of topological method. Finally, the applications of similarities are shown. On the one hand, the constructed similarities are used to solve a pattern recognition problem. On the other hand, the robustness of the Triple I method of intuitionistic reasoning is analyzed by adopting the constructed similarity as the perturbation parameter.