Research On Fuzzy Multiple Attribute Decision Making And Its Application

Multi-attribute decision making is an important branch of modern decision theory and research methods. Its theories and methods have extensive practical background, such as the evaluation and selection of investment projects, human resources performance evaluation, economic results evaluation, evaluating the performance of military equipment, plant location, tender bidding and power grid investment decision. Under considering several attributes, multi-attribute decision making is a comprehensive evaluation of the program, and its aim is to find the optimal alternative or to rank all the projects. Since there is much uncertain information in the actual decision-making process, fuzzy theory becomes an effective tool for solving fuzzy multiple attribute decision making problems with uncertain information. Therefore, the research on fuzzy multiple attribute decision is of important significance. Lattice order theory can generalize the ordering axiom to the lattice order axiom in order to establish multi-attribute lattice order decision making, sometimes the decision-making information formed by judge matrix expresses is more reasonable, a set pair analysis theory can express uncertain information dialectically by using analyze specific mathematical tools, due to the limitations of individual cognition, group decision making is more in line with actual demand. Therefore, the study on combining lattice order, judgment matrix, set pair analys is theory on fuzzy multi-attribute decision making method; the research on the consistency of judgment the consensus of fuzzy multiple attribute group decision making has aroused extensive attention. It is also important to scientifically choose the power system planning investment projects with the development of the society and the improvement of people’s living standards.Based on the domestic and international research and the theory of fuzzy mathematics, matrix and set pair analysis, we study fuzzy multi-attribute decision-making based on lattice order, judgment matrix and set pair analysis theory and the consensus of fuzzy multi-attribute group decision making.In part one, fuzzy multi-attribute decision making is studied mainly based on the lattice theory. The complement mechanism of missing elements is given in the application of the multi-attribute lattice order decision with the trapezoidal fuzzy number, then the method of trapezoidal fuzzy number ranking by lattice order decision making theory is investigated, the concepts of similar and the model of fuzzy similarity evaluation are built, the definition of the deviation degree of trapezoidal fuzzy number is given and a formula for deriving objective attribute weights is presented, then the comprehensive weights are gotten combined with the subject weights, simulation results show that these methods are effective tool to solve fuzzy multi-attribute decision problem.In part two, fuzzy multi-attribute decision making is studied mainly based on judgment matrix. When the preference information about attribute weights given by the decision makers is in the form of complementary judgment matrixes in fuzzy multi-attribute decision, the attribute weight and expert vectors are gotten by enough exploring the feather information of judgment matrixes given by experts about attribute. A possibility degree formula for the comparison between two trapezoidal fuzzy numbers is proposed to select the most desirable alternative according to OWA (ordered weighted average) aggregation operators. The decision problem of the satisfying consistency and the approach for regulating consistency are studied. Finally, the method is applied to the project evaluation in the field of venture capital.In part three, fuzzy multi-attribute decision method is studied mainly based on set pair analysis theory. By referring to the thought that the universe is divided into three parts in the set pair analysis theory, the trapezoidal evaluations are transformed into connection numbers, so this method can effectively deal with the uncertain factors in decision making process. Connection number decision matrix can obtain the identity-contrary degree of the set pairs structured by alternative schemes and ideal scheme. The ranking method based on relatively certainty probability power can accurately depict the identity-contrary degree of the connection numbers. Simulation results show that the proposed method is an effective tool to solve the fuzzy multiple attribute decision making problems.In part four, the consensus of the experts’opinion in the multiple attribute group decision making is discussed. In order to achieve a desirable consensus in group decision making, two new algorithms are proposed to develop satisfactory consensus reaching process by applying the deviation degree and the different degree of interval fuzzy number. A new algorithm is proposed to develop a satisfactory consensus reaching process in the multiple attribute group decision making under uncertain linguistic variables. In order to get the weight vector and order the alternatives, we also extend the TOPSIS method to MAGDM under uncertain linguistic variables. The convergence of the algorithm is proved and then the implementation process of the approach is introduced detailed with practical examples, which demonstrates the practicability and scientific of the proposed methods.In part five, we extend fuzzy multi-attribute group decision making to the application of the power grid investment decision and construct the decision model. A case is provide to explain the contents of fuzzy multi-attribute group decision making and detailed steps. Through case analysis, the results show that the method is efficient and feasible, and can provide reference and theory support in the investment decision.