Two Types Of Uncertain Multiple Attribute Decision Making Methods And Their Applications

Multi-attribute decision making is the main part of modern decision science,it is applied to many real-life problems such as military, engineering design,life and other-s. When exploring the multi-attribute decision making problems, decision makers often analysis and establish evaluation index system on basis of the existing decision-making information, sort and get the optimal solution from the available options. Many perfec-t methods have been proposed to solve multi-attribute decision making problems with complete information. But in the real cases, most decision-making information exist un-certainty and ambiguity, decision makers often only get incomplete information. Thus the multi-attribute decision making problem with incomplete information is the focus of future research. Therefore, this thesis has studied the information completely unknown multi-attribute decision making problems by use of grey correlation and soft set theory based on intuitionistic number and interval-valued intuitionistic trapezoidal fuzzy number. The main work includes:(1)The concepts of intuitionistic fuzzy number, interval-valued intuitionistic trape-zoidal fuzzy number, intuitionistic fuzzy soft set and level soft set are introduced in this thesis, their operations and relevant properties are dicussed, then the dynamic intuition-istic fuzzy weighted average (DIFWA) operator,interval-valued intuitionistic trapezoidal fuzzy weighted average (IITFN-WAA) operator and fuzzy soft set weighted average oper-ator are put forward. On basis of the precise function and the score function of interval-valued intuitionistic trapezoidal fuzzy numbers, the cross entropy is defined.(2) Firstly, for the problem of multi-attribute decision making, in which the attribute values are dynamic intuitionistic fuzzy number, time weighting equation is defined, the op-timal model is constructed based on the min of all decisions relative correlation coefficient, then the decision making method is given. Secondly, focus on the multi-attribute group decision making problem, in which the attribute values are intuitionistic trapezoidal fuzzy number and the expert and attribute weights are complete unknown, the expert weight-s are determined according to the cross entropy intuitionistic trapezoidal fuzzy number. Comprehensive correlation coefficient and the degree of comprehensive correlation are de-fined making use of grey correlation, expert weights are obtained by solve the optimization model that maximize the degree of comprehensive correlation.and corresponding group decision method of IITFN-WAA operator is provided. Finally, the feasibility of the deci-sion making methods are verified by a practical example.(3) A group decision making method of improved level soft set under intuitionistic fuzzy soft matrix environment is discussed. Firstly, the model is constructed used the approximation degree of the assessed value and average value of experts, thereby the weights of experts are obtained. Then two existing levels soft sets are proposed, the corresponding decision method on basis of λnew(E)-level soft set and three mean level soft set is given, and the effectiveness of the two decision making methods are verified by practical examples.