Similarity Measure Of Intuitionistic Fuzzy Sets Based On Trigonometric Function And Its Application

Similarity measurement is an important method to measure the similarity of two intuitionistic fuzzy sets.As many scholars have deepened the study of similarity,many measurement formulas have been proposed,while some of the existing formulas are unable to classify or calculate complicated in the process,so put forward a method to effectively solve the above phenomenon has become a hot topic of concern to scholars.In this paper,we will solve the problem of similarity measurement of intuitionistic fuzzy sets,and propose a new measurement method based on the similarity method of trigonometric functions.The concrete work is as follows:(1)Based on the study of the method of subtractive similarity measurement proposed by Tian,it is found that it can not be classified in the application of pattern recognition.In view of this phenomenon,we consider the three aspects of membership,non-membership and hesitation,Sine function and inverse cosine function angle to define four similarity measurement formulas,and then through several sets of numerical examples of the new formula and other formulas to compare,showing a strong ability to distinguish.Finally,the new formula is applied to the fields of pattern recognition and decision making.The validity of the new formula is verified by the comparative analysis of the measuremen results.(2)The newly proposed measurement method proposed is then applied to the ore category detection system,which plays a supporting role in the ore inspection.Before using the system,the relevant data should be extracted according to the various components of the ore,and then compiled into the intuitionistic fuzzy set data of the ore composition,and then the similarity measurement formula is used to compare it with the ore model data stored in the database,We can get from the calculation results to be detected ore and ore model similarity.If the similarity between the two is very high,then the ore is likely to be such an ore,and vice versa between the two very low coefficient,you can rule out the possibility of the ore.In addition,the data shown in the system can be seen in the practical application of the effectiveness of the new formula.The system not only greatly reduces the workload in the ore inspection but also avoids the detection error caused by the subjectivity of the inspectors and improves its practicability.