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| Method for uncertain multi-attribute decisionmaking with preference information in the form of interval numbers complementary judgment matrix | |
| 作者单位： | Zhou Hong'an（Dept. of Mathematics, Shanxi Univ. of Technology, Hanzhong 723000, P. R. China;Dept. of Mathematics, Shanxi Univ. of Technology, Hanzhong 723000, P. R. China） ; Liu Sanyang（Dept. of Applied Mathematics, Xidian Univ., Xi'an 710071, P. R. China） ; Fang Xiangrong（Dept. Of Electronics and Information, Xi'an Inst. Of Posts and Telecommunication, Xi'an 710061, P. R. China） ; |
| 摘 要： | The uncertain multi-attribute decision-making problems because of the information about attribute weights being known partly, and the decision maker's preference information on alternatives taking the form of interval numbers complementary to the judgment matrix, are investigated. First, the decision-making information, based on the subjective uncertain complementary preference matrix on alternatives is made uniform by using a translation function, and then an objective programming model is established. The attribute weights are obtained by solving the model, thus the overall values of the alternatives are gained by using the additive weighting method. Second, the alternatives are ranked, by using the continuous ordered weighted averaging (C-OWA) operator. A new approach to the uncertain multi-attribute decision-making problems, with uncertain preference information on alternatives is proposed. It is characterized by simple operations and can be easily implemented on a computer. Finally, a practical example is illustrated to show the feasibility and availability of the developed method. |
| 收稿时间： | 5 June 2006. |
Method for uncertain multi-attribute decisionmaking with preference information in the form of interval numbers complementary judgment matrix |
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| Authors: | Zhou Hong'an Liu Sanyang Fang Xiangrong |
| Institution: | 1. Dept. of Mathematics, Shanxi Univ. of Technology, Hanzhong 723000, P. R. China;Dept. of Mathematics, Shanxi Univ. of Technology, Hanzhong 723000, P. R. China 2. Dept. of Applied Mathematics, Xidian Univ., Xi'an 710071, P. R. China 3. Dept. Of Electronics and Information, Xi'an Inst. Of Posts and Telecommunication, Xi'an 710061, P. R. China |
| Abstract: | The uncertain multi-attribute decision-making problems because of the information about attribute weights being known partly, and the decision maker's preference information on alternatives taking the form of interval numbers complementary to the judgment matrix, are investigated. First, the decision-making information, based on the subjective uncertain complementary preference matrix on alternatives is made uniform by using a translation function, and then an objective programming model is established. The attribute weights are obtained by solving the model, thus the overall values of the alternatives are gained by using the additive weighting method. Second, the alternatives are ranked, by using the continuous ordered weighted averaging (C-OWA) operator. A new approach to the uncertain multi-attribute decision-making problems, with uncertain preference information on alternatives is proposed. It is characterized by simple operations and can be easily implemented on a computer. Finally, a practical example is illustrated to show the feasibility and availability of the developed method. |
| Keywords: | Uncertain multi-attribute decision-making Objective programming Weight C-OWA operator Priority |
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