Combined Weighting And Multi-Attribute Decision-Making Method Based On Intuitionistic Trapezoidal Fuzzy Number

Multi-attribute decision-making,known as finite scheme multi-objective decision-making,is mainly used to deal with the sequencing and optimization of finite schemes with multiple attributes.It has a wide application background in many fields and is an important part of modern decision-making science.The systematic research and effective application of multi-attribute decision-making method in practical problems can simplify many complex problems.In real life,due to the limitations of people’s understanding of fuzzy things and the increase of uncertain factors in practical problems,multi-attribute decision-making needs further innovation and improvement in theoretical research and method application.In addition,the weight of each attribute in decision-making also reflects the relative importance of the attribute,which will directly affect the result of decision-making.Therefore,scientific and reasonable determination of attribute weight is also the key to realize multi-attribute decision-making.In order to ensure the integrity of the original attribute data information,this paper expresses the attribute value by intuitionistic trapezoidal fuzzy number.Aiming at the decision-making problem that the attribute value is intuitionistic trapezoidal fuzzy number,this paper mainly studies the following aspects:1.According to the intuitionistic and fuzzy characteristics of intuitionistic trapezoidal fuzzy number,considering the value of attribute itself,intuitionistic and fuzzy factors,the entropy weight method is improved for objective weighting.The combined weight is obtained by minimizing the sum of squares of deviation between subjective and objective weights.2.On the basis of TOPSIS method,aiming at the situation that the schemes on the vertical line of positive and negative ideal solutions cannot be sorted and the possible one-way deviation,a new decision-making method is proposed.The grey correlation projection method is combined with TOPSIS method,and the closeness degree is corrected according to the included angle of grey correlation projection,so as to make the decision-making result more reasonable and comprehensive.3.Aiming at the cross influence between attributes in the decision-making process,the algorithm of intuitionistic fuzzy set under cross influence is extended,and the intuitionistic fuzzy weighted harmonic average operator under cross influence is proposed.Combined with the score function of intuitionistic trapezoidal fuzzy number,the decision is made by intuitionistic fuzzy weighted harmonic average operator,and compared with the decision results of other operators to verify its effectiveness and enrich the decision-making methods.4.By changing the proportion of subjective and objective weights in combination weighting,this paper analyzes the sensitivity of different decision-making methods to combination weighting,discusses the influence of the change of combination weighting parameter on decisionmaking results,and puts forward corresponding suggestions for different decision-making methods.