Hybrid Multiple Attribute Group Decision Making Methods Under The Uncertain Environment And The Application Research

In the multiple decision making environment nowadays, due to the increasing complexity of the soci-economic environment and the vagueness of inherent subjective nature of human thinking, there exists many typical and specific decision making problems, such as uncertain evaluation information, certain degree of relationship between different kinds of attributes, obvious individual preference of each decision maker. Meanwhile, in the lager scale of group decision making environment, there also exists some typical group decision making problems because of different decision makers, for instance, hybrid group decision making problem which contains several information forms, interactive group decision making problem which the experts’ opinions needed to be uniformed and optimized. In this dissertation, based on these research points above, we summarize typical decision making problems from the background of civil emergency events management, and improve the multiple attribute decision making methods and group decision making methods under the uncertain environment. This paper is organized as follows.(1) Considering the situation that the decision makers provide their own interests in uncertain multiple attribute group decision making problems, we propose the uncertain induced hybrid aggregation operators, and introduce the TOPSIS method to induce the order inducing variables, which can reflect various experts’ preferences, and then solve the emergency alternative selection problems with different departments’ preferences by using these methods. Firstly, based on intuitionistic fuzzy numbers, including interval-valued intuitionistic fuzzy numbers, and hesitant fuzzy numbers, we define uncertain induced hybrid aggregation operators. This kind of aggregation operators can consider additional preference information of decision maker’s attitudinal characteristics besides arguments-dependent information and arguments-independent information. Some desirable properties of aggregation operators are studied and theoretical analysis also shows they can include a wide range of aggregation operators as special cases. Thus we can obtain the scientific decision results by using decision information completely. In the further, we propose a TOPSIS-based method to induce the order inducing variables, which can reflect different experts’ preference information under the group decision environment through the order inducing variables, and solve the group decision making problems with experts’ preference.(2) Several power aggregation operators under the uncertain environment are proposed to solve the uncertain multiple attributer group decision making problems with relationship between attributes and attributes’ values, and applied to the path selection problems in the process of urban emergency events rescue. Firstly, based on the intuitionistic fuzzy values, including interval-valued intuitionistic fuzzy values, hesitant fuzzy values, we study some desirable properties of generalized power aggregation operators and research the weights establish method associated with the power aggregation operators. Then, we propose a power weights establish approach to solve the decision making problems with the relationship between the attribute values under the intuitionistic fuzzy environment. Meanwhile, we propose a power weights establish approach and generalized hybrid aggregation operators to solve the decision making problems with relationship between the attributes under the hesitant fuzzy environment. Finally, we certify the generalized power aggregation operators which can handle the decision making problems with relationship between attributes and attributes’ values by path selections, and provide different decision choices by vary of parameters.(3) Entropy and cross-entropy measures for intuitionistic fuzzy sets are proposed to solve the intuitionistic fuzzy multiple attributed group decision making problems with experts’ attitudinal characteristic information, and establish models to ensure the unknown attributes’ weights and experts’ weights. And then these models are applied to evaluate the emergency capacity of each department. Firstly, we improve the cross-entropy measure method which defined by Zhang. The novel cross-entropy measure by adding the attitudinal characteristic parameters can simple the fuzzy degrees. And then, we define a new entropy measure based on cross-entropy measure under the intuitionistic fuzzy environment, and also discuss some related properties. Furthermore, we do the comparative experiment between the proposed method and the traditional method to indicate the accuracy and completeness of the proposed methods. Various decision makers’ attitudinal characteristic parameters also been analyzed to reflect their influences to the results of decision making.(4) Two typical hybrid uncertain multiple attribute group decision making approaches are proposed to solve the hybrid uncertain multiple attribute group decision making problems which contain both qualitative information and quantitative information, and hybrid decision matrix in this kind of problems consists of linguistic variables, intuitionistic fuzzy values, interval-valued intuitionistic fuzzy numbers. Also, two approaches are applied to evaluate the effects of emergency alternatives. The first group decision making approach is based on the transform function by uniform the linguistic variables to intuitionistic fuzzy numbers or interval-valued intuitionistic fuzzy numbers. The second group decision making approach is based on the TOPSIS method by combine several hybrid matrixes to a hybrid hesitant fuzzy matrix. The first approach has the features of information loss and complex decision process, but it can consider weights information. While, the second approach is simple and less information loss, can not consider the weights information in the decision process at the same time. The two approaches have their own characters, and we can choose different decision making approach according to different decision problem.(5) Interactive hybrid multiple attribute group decision making method is proposed to solve the decision making problems which need to optimize various experts’ opinions, and then applied to evaluate one city’s emergency management support system. Firstly, we construct the evaluation standards of urban emergency management support system. Then, we propose the interactive group decision method. This approach can realize the interactive group decision evaluation based on recommendation of group decision making results and self-adjustment of decision maker.