Multi-attribute Decision Models And Their Application Based On Interval Type-2 Fuzzy Sets

Decision making has been widely used in the fields of economy,society and managemen-t,where Multi-attribute decision making plays an important role.So,Multi-attribute decision making based on interval type-2 fuzzy is still a research hotspot.The uncertainty and reliability of information have an impact on decision making results.Therefore,several multi-attribute decision making methods under uncertain information are discussed in this thesis.The main works are as follows1.Multiple-attribute decision making method based on interval type-2 fuzzy cross-entropy and fuzzy entropy is proved.On the one hand,we introduce cross-entropy and risk preference to distinguish the diffe.rence information between interval type-2 fuzzy sets and considering the risk attitudes of decision makers,two optimization models on decision making model which attribute weights are unknown completely or attribute weights are partly known are proposed On the other hand,in combination with the characteristics of interval type-2 fuzzy sets,the interval type-2 fuzzy entropy is proposed and four axioms are proved.Finally,a model based on interval type-2 fuzzy entropy is presented.The empirical analysis shows that the model is feasible and effective2.Firstly,we put forward a new distance formula of interval type-2 fuzzy sets and con-struct the effective concordance and the discordance matrix by calculating the distance of each alternative and ideal point.Secondly,the ELECTR.E I method is modified by constructing the concordance and the discordance index matrix to fully arrange the alternatives.At the same time,the QUALIFLEX method is improved to reduce its complexity in the full permutation.Finally,the two outranking methods are proved to be effective by an example3.Based on the theory of interval type-2 fuzzy sets and Z-numbers,the interval type-2 fuzzy Z-numbers is proposed and some correlation operations are given.The similarity between two interval type-2 fuzzy Z-numbers is raised.In addition,the similarity is used to construct the weight solution model,and Multi-attribute decision making arithmetic and case analysis based.on interval type-2 fuzzy Z-numbers are presented.