| The interval intuitionistic hesitation fuzzy set is a set of membership degrees represented by several interval intuitionistic fuzzy numbers,and is also a new extended form of fuzzy sets.It combines the advantages of interval intuitionistic fuzzy sets and hesitant fuzzy sets,and can more comprehensively and objectively describe the decision information expressed by decision makers.The similarity of interval intuitionistic hesitant fuzzy sets is an important tool for measuring the degree of similarity of two intervals of intuitionistic hesitant fuzzy sets.It is an important part of interval intuition hesitant fuzzy theory and is widely used in fuzzy pattern recognition,image processing,medical diagnosis,big data analysis and multiple-attribute decision and so on.This paper mainly studies the similarity of interval intuition hesitant fuzzy sets and its application as follows.(1)The hesitancy of the interval intuitionistic hesitation fuzzy set is defined.The distance of the interval intuitionistic hesitation fuzzy set is defined by the membership degree,non-membership degree and hesitation degree of the interval intuitionistic hesitation fuzzy set.In this paper,the calculation formulas of Hamming distance,generalized Hamming distance,Euclidean distance and weighted distance are given.Combined with actual cases,the practical application of the above distance is given.(2)The interval intuitionistic hesitation fuzzy set similarity based on distance,set operation,matching function and cosine function is proposed and the corresponding properties are analyzed.(3)Four kinds of interval intuitionistic hesitant fuzzy set similarity are proposed for pattern recognition and multi-attribute decision making.The methods and steps for dealing with pattern recognition and multi-attribute decision making are presented.The example analysis shows that the proposed interval intuitionistic heuristic fuzzy set is similar,which has theoretical significance and practical application value. |
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