云南民族大学学报（自然科学版）2017，Vol.26Issue(5)：381-387,7.DOI:10.3969/j.issn.1672-8513.2017.05.010
基于算数平均值的直觉模糊集合的相似度
Similarity measure of intuitionistic fuzzy sets based on the arithmetic mean
摘要
Abstract
Based on the geometric point of view,the intuitionistic fuzzy number is transformed into an isosceles right triangle according to the degree of hesitation.The similarity degree between two intuitionistic fuzzy numbers is defined as the average of the corresponding distance of the corresponding isosceles right triangle.On this basis,the similarity degree of two intuitionistic fuzzy sets is introduced,which proves that they all satisfy the similarity axiom.This study uses some examples to show that the proposed similarity measure between AIFSs can overcome the defects of the existing similarity measures.Finally,it applies the proposed similarity measure between AIFSs to deal with pattern recognition problems.关键词
直觉模糊集/相似度/平均值/模式识别Key words
intuitionistic fuzzy sets/similarity measure/mean value/pattern recognition分类
数理科学引用本文复制引用
邵丽鹏,潘小东..基于算数平均值的直觉模糊集合的相似度[J].云南民族大学学报（自然科学版）,2017,26(5):381-387,7.基金项目
国家自然科学基金(61175044). （61175044）
