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Research on Methods of Multiple Attribute Decision-Making and Integration

Author: ZuoShuLi
Tutor: XiaoXinPing
School: Wuhan University of Technology
Course: Applied Mathematics
Keywords: Multiple Attribute Decision Making Integrated approach Attribute weights Interval Numbers Triangular fuzzy numbers
CLC: C934
Type: Master's thesis
Year: 2005
Downloads: 573
Quote: 20
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Abstract


Multi-attribute decision-making is an important research questions in the field of decision sciences, has been widely used in the investment decision-making, project evaluation, program optimization, plant location, resource allocation, sort of industrial sector development, tender bidding, overall efficiency evaluation and research multi-attribute decision theory and method has important practical significance. In the actual decision-making, due to the limitations of the scope of application of the decision-making method, the complexity of the problem, there has been some integration methods. This paper studies the integration of the decision-making methods; proposed a new solution for the integration of the problem. In the decision-making problems, due to the complexity of the objective things and the fuzziness of human thinking, a lot of indicators not only represented a real number, interval numbers, triangular fuzzy number. And in real life, the mixing of the two or three situations appear frequently. For this case for the integration of this problem, this paper studied the solution of multi-attribute decision making, and proposed a new method for the determination of the index weight. This paper introduces the multi-attribute problem indicators standardized method for determining the weights of decision-making methods and classical methods. In this paper, the inadequacies of subjective weighting method and objective weighting method for determining the weights proposed a new weighting method, namely the use of the linear weighting method and the correlation coefficient to establish a method based on the principle of deviation minimize the new model to arrive at a more reasonable weight values. The scene of the indicators of the value of the existing interval numbers have triangular fuzzy numbers based on the projection of the ideal point method to sort the projected size of the program and that the linear nature of the projection. Provide solutions for different numeric types can not sort the problem. In the economic, military and other practical problems often occur mixed situation of the precise number, interval numbers, triangular fuzzy number and variety of data, this paper presents the gray relational model, and prove that such a model to meet the holistic normative proximity, even symmetry, while meeting the the insurance differences and rank preservation for. And the establishment of a multi-criteria decision making quantitative model of the gray correlation degree and sort of get the ideal solution related degree program. Multi-index sequence for this hybrid in the case of the weight of the unknown, the paper constructs deviation function, the local option to the weight vector ω_j so the maximum total deviation of all the attributes of all programs, which proposes an objective weighting method. The results of this research is enriched and developed the theory and method of multi-attribute decision-making, and two empowerment method.

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CLC: > Social Sciences > Management > Decision Sciences
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