Knowledge Measure Of Interval-valued Intuitionistic Fuzzy Sets And Its Application

Knowledge measure is widely used in image processing,pattern recognition,medical diagnosis,uncertain multi-attribute group decision-making and many other fields.Knowledge measure is proposed to solve the problem that the existing fuzzy entropy can not fully reflect the information contained in the fuzzy set,which leads to the deviation of the fuzzy decision-making in the application of the relevant fuzzy entropy.Unlike the measurement of the degree of disorder within a fuzzy set by fuzzy entropy,knowledge measure is used to measure the degree of ordering within a fuzzy set,and then an ordering order of the ordering degree of a fuzzy set can be obtained.In the application field,a fuzzy decision can be made accordingly.The main contents of this dissertation are as follows:Firstly,In view of the fact that the information contained in interval-valued intuitionistic fuzzy sets can not be fully reflected by the existing fuzzy entropy,there is a certain one-sidedness,which leads to the deviation of fuzzy decision-making in the application of correlation entropy,this paper attempts to extend a knowledge measure of intuitionistic fuzzy sets with parameters to the field of interval-valued intuitionistic fuzzy sets,and a knowledge measure based on interval-valued intuitionistic fuzzy sets is developed in this paper.Then,by assigning different values to the parameters,the validity of the extended interval-valued intuitionistic fuzzy set knowledge measure model is analyzed.Secondly,aiming at the problem of how to judge the validity of interval-valued intuitionistic fuzzy set knowledge measure,this paper proposes a criterion to construct interval-valued intuitionistic fuzzy knowledge measure model based on partial order relation of interval-valued intuitionistic fuzzy entropy,and tests the validity of the interval-valued intuitionistic fuzzy set knowledge measure.Finally,this paper presents a multi-attribute group decision-making method.The method first calculates attribute weights with the knowledge measure of interval-valued intuitionistic fuzzy sets extended in this paper,then integratesinformation with interval-valued intuitionistic fuzzy weighted arithmetic average operator to obtain the comprehensive attribute values of alternatives,and then ranks alternatives with the ranking method of interval-valued intuitionistic fuzzy sets to obtain the optimal ranking of alternatives,so as to realize multi-attribute group decision-making.The analysis of examples and experimental results not only prove that the extended interval-valued intuitionistic fuzzy set knowledge measure can overcome the problem of interval-valued intuitionistic fuzzy entropy,but also prove the rationality and feasibility of its application in multi-attribute group decision making.