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Large Group Decision-making Method with Complex Preference

Author: ZhangLiZuo
Tutor: XuXuanHua
School: Central South University
Course: Management Science and Engineering
Keywords: Multiple attribute decision-making Emergencydecision-making Complex preference Larger group Similarity measure
CLC: C934
Type: PhD thesis
Year: 2013
Downloads: 356
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Abstract


In recent year, the natural disaster and public crisis have been continuing to occur, which caused significant damage to the national economy and people’s lives and property, so emergency decision making problem become the focus and emphasis of decision science. We analyze the difference between the emergency decision-making problem and other decision-making problem, according to the emergency decision environment’s complexity and variety, the decision task’s complexity, variety, uncertainty and timeliness, and the complex relationship between the decision attribute, we give the definition of complex preference. Using the similarity measure to solve the multiple attribute group decision making problems with complex preference, we also compare our method with the other group decision making method, the numerical results show our method’s merits.Thesis work mainly includes the following aspects:(1) Deterministic preferences. We mainly study multiple attribute large group decision making (MALGDM) problem with vector preference. Firstly, we introduce the J-similarity measure, E-similarity measure and C-similarity measure; there are some defects in the above three similarity measures, so we provide the variational coefficient similarity measure based on the three similarity measure, which satisfy reflexivity, symmetry and boundedness. Then, we apply the variation coefficient similarity to evaluate the emergency management capability of major snow disaster in Hunan province of China. For comparison, the decision results of different similarity measures are also given, which show that our method have better similarity identification and the proposed method is applicable.(2) Associated preference. Consider the association between the decision attribute, we discus the hierarchical relationship between the decision attribute. A new method based on the trigonometric functions to determine the weight of decision attribute is proposed. By using the method of preference aggregation for large group decision making, we get a new model for evaluating grade of natural disaster loss based on the hierarchy of evaluation index and its algorithm. Lastly, the paper presented the result of dividing gradation of the condition of the natural disaster for2002-2009in Chinese. We introduce a new method of large group decision based on binary relationship attributes. By using binary relation of the decision attributes, the relation matrix which is a0-1matrix is formed. With the property of0-1matrix and the norm of the matrix, this paper establishes a new large group preference aggregating model and proposes the method of evaluation schemes ranking. Finally, an example of Hunan province emergency management capability of major snow disaster is presented to authenticate the method of MALGDM.(3) Fuzzy preference. We give a detailed introduction about MALGDM problem with intuitionistic fuzzy set preference, triangular fuzzy preference, intuitionistic triangular fuzzy preference, trapezoidal fuzzy linguistic preference, intuitionistic trapezoidal fuzzy preference, intuitionistic trapezoidal fuzzy binary preference, internal trapezoidal fuzzy preference. We provide the method to compute the weight of the attribute with fuzzy information. By constructing the corresponding weighted similarity model, we get the order of each alternative and the best alternative. Finally, we apply the above methods to solve the emergency decision-making problem, and compare with the other decision-making methods, the decision results show our method is effective and applicable. There are15figures,40tables and181references.

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