A Study On The Method Of Multiple Attributes Decision Making Based On Fuzzy Decision Making Matrix

Multiple arributes decision making is a branch of the multiple objective decision making, which is widely used in a many areas, such as engineering, society, economics, management and politics.Due to the complexity of real decision making, uncertainty of the decisiom evironment and ambiguty of humen thinking, the theory and method of multiple arributes decision making can not satisfy the needs of the practical questions. So it is very necessary to optimize and improve the theory and method of multiple arributes decision making. By computer technology and optimization tools, this paper researches the method of multiple arributes decision making based on fuzzy mathmatics and fuzzy decisiom matrix.(1)Study on the method of multiple arributes decision making based on interval number fuzzy decision making matrix. First of all, the definition of the standard form for interval numbers is proposed. According to this, the complementary judgment matrix is divided into the lower limit matrix and interval span matrix, and the consistency and weak consistency for the interval number fuzzy judgment metrics are analysised. Based on the consistency, the priority of the interval number fuzzy judgment metrics is proposed. Second under incomplete information, a new method of EA-TOPSIS for the interval number fuzzy decision making matrix is given. Finally the calculation of incomplete element about incomplete interval number fuzzy judgment matrix is researched. Under complete consistence and satisfaction consistence, the incomplete element is got. Base on these, the new priority method of the decision making is proposed by Q cluster analysis and grey correlation relative degree.(2)Study on the method of multiple arributes decision making based on intuitionistic fuzzy decision making matrix. Using Choquet fuzzy integral as a weighted average of attribute relations (WAA) operator expansion, assembly intuitionistic fuzzy information and constructe nonlinear programming model based on interaction of attributes; applicating reasonable standards of ideological decision-making to overcome the fuzzy weights decision matrix defects, the objects of combination weighting are expanded from limited to unlimited, a mathematical model of combination weighting for multiple attribute decision making with intuitionistic fuzzy information is established.(3)Study on the method of multiple arributes decision making based on triangular fuzzy number intuitionistic fuzzy decision making matrix. Under algorithm of triangular fuzzy number intuitionistic information, some new aggregation operators with interaction are developed, such as triangular fuzzy number intuitionistic fuzzy ordered weighted average operation with interaction(R-TPIOWA), triangular fuzzy number intuitionistic fuzzy weighted geometric average operation with interaction(R-TPIWGA) and triangular fuzzy number intuitionistic fuzzy ordered weighted geometric average operation with interaction (R-TPIOWGA). And a MADM method with variable weight of triangular fuzzy number intuitionistic fuzzy decision matrix is given. At last, the entropy method of triangular fuzzy number intuitionistic fuzzy matrix in the group decision making is proposed.(4)Study on the method of multiple arributes decision making based on trapezoidal fuzzy decision making matrix. Index of attitude is introduced, through which the trapezoidal fuzzy judgment matrix is transformed into the decision with index of attitude. The weights of the attribute and decision makers is obtained by solving the optimization problem. The priorities are given through the group risk attitude. And a new FL-DEMATEL method is made to calculate the cause degree and affect degree of the affecting factors for analysis of the relationship between the factors of the group decision making problems.(5)Study on application of multiple arributes decision making based on fuzzy decision making matrix in performance evaluation of coal enterpises energy saving and emission reduction. Discuss the background for performance evaluation of coal enterpises energy saving and emission reduction and explain the meaning of energy saving and emission reduction.The indicator system of performance evaluation of coal enterpises energy saving and emission reduction is established. Using the method of multiple arributes decision making based on fuzzy judgment matrix to evaluate the performance of coal enterpises energy saving and emission reduction.