New approach to multiple attribute decision making with interval numbers 被引量：6

New approach to multiple attribute decision making with interval numbers

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摘要 In an ambiguous decision domain, the evaluation values of alternatives against attributes would be interval numbers because of the inherent, uncertain property of the problems. By using a number of linear programming models, Bryson and Mobolurin propose an approach to compute attribute weights and overall values of the alternatives in the form of interval numbers. The intervals of the overall values of alternatives are then transformed into points or crisp values for comparisons among the alternatives. However, the attribute weights are different because of the use of linear programming models in Bryson and Mobolurin＇s approach. Thus, the alternatives are not comparable because different attribute weights are employed to calculate the overall values of the alternatives. A new approach is proposed to overcome the drawbacks of Bryson and Mobolurin＇s approach. By transforming the decision matrix with intervals into the one with crisp values, a new linear programming model is proposed, to calculate the attribute weights for conducting alternative ranking. In an ambiguous decision domain, the evaluation values of alternatives against attributes would be interval numbers because of the inherent, uncertain property of the problems. By using a number of linear programming models, Bryson and Mobolurin propose an approach to compute attribute weights and overall values of the alternatives in the form of interval numbers. The intervals of the overall values of alternatives are then transformed into points or crisp values for comparisons among the alternatives. However, the attribute weights are different because of the use of linear programming models in Bryson and Mobolurin＇s approach. Thus, the alternatives are not comparable because different attribute weights are employed to calculate the overall values of the alternatives. A new approach is proposed to overcome the drawbacks of Bryson and Mobolurin＇s approach. By transforming the decision matrix with intervals into the one with crisp values, a new linear programming model is proposed, to calculate the attribute weights for conducting alternative ranking.

作者 Zhang Quan Gao Qisheng Geng Jinhua

机构地区 School of Information Engineering Inst. of Complexity Science

出处《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2008年第2期304-310,共7页 系统工程与电子技术（英文版）

基金 the National Natural Science Foundation of China (70571041).

关键词 multiple attribute decision making interval number NORMALIZATION programming model ranking. multiple attribute decision making, interval number, normalization, programming model, ranking.

分类号 TP391.41 [自动化与计算机技术—计算机应用技术]

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