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 ...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.展开更多
With respect to the multiple attribute decision making problems with linguistic preference relations on alternatives in the form of incomplete linguistic judgment matrix, a method is proposed to analyze the decision p...With respect to the multiple attribute decision making problems with linguistic preference relations on alternatives in the form of incomplete linguistic judgment matrix, a method is proposed to analyze the decision problem. The incomplete linguistic judgment matrix is transformed into incomplete fuzzy judgment matrix and an optimization model is developed on the basis of incomplete fuzzy judgment matrix provided by the decision maker and the decision matrix to determine attribute weights by Lagrange multiplier method. Then the overall values of all alternatives are calculated to rank them. A numerical example is given to illustrate the feasibility and practicality of the proposed method.展开更多
微电网建设规划方案决策中评价指标要素间相互关联是普遍存在的,针对传统评估方法对要素间的影响关系考虑较少或衡量主观,以至关联关系难以准确界定的问题,提出基于DEMATEL-ANPVIKOR(DEMATEL:Decision Making Trial and Evaluation Labo...微电网建设规划方案决策中评价指标要素间相互关联是普遍存在的,针对传统评估方法对要素间的影响关系考虑较少或衡量主观,以至关联关系难以准确界定的问题,提出基于DEMATEL-ANPVIKOR(DEMATEL:Decision Making Trial and Evaluation Laboratory,ANP:Analytic Network Process,VIKOR:Visekriterijumska Optimizacija I Kompromisno Resenje)的多属性微电网建设规划方案综合决策模型,利用DEMATEL法量化准则层指标要素的影响关系强度,充分考虑指标之间的依赖-反馈关系,采用ANP法确定各指标的权重,通过追求最大化群体效益和最小化个体遗憾,结合VIKOR法完成对备选方案的综合排序和选优。实例分析表明,该决策模型可以很好地适应指标体系中复杂的关联关系,有效提高指标权重分配的均衡性,具有一定的工程应用价值。展开更多
基金the National Natural Science Foundation of China (70571041).
文摘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.
基金the National Natural Science Foundation of China (70701008)National Science Foundationfor Distinguished Young Scholars of China (70525002)
文摘With respect to the multiple attribute decision making problems with linguistic preference relations on alternatives in the form of incomplete linguistic judgment matrix, a method is proposed to analyze the decision problem. The incomplete linguistic judgment matrix is transformed into incomplete fuzzy judgment matrix and an optimization model is developed on the basis of incomplete fuzzy judgment matrix provided by the decision maker and the decision matrix to determine attribute weights by Lagrange multiplier method. Then the overall values of all alternatives are calculated to rank them. A numerical example is given to illustrate the feasibility and practicality of the proposed method.
文摘微电网建设规划方案决策中评价指标要素间相互关联是普遍存在的,针对传统评估方法对要素间的影响关系考虑较少或衡量主观,以至关联关系难以准确界定的问题,提出基于DEMATEL-ANPVIKOR(DEMATEL:Decision Making Trial and Evaluation Laboratory,ANP:Analytic Network Process,VIKOR:Visekriterijumska Optimizacija I Kompromisno Resenje)的多属性微电网建设规划方案综合决策模型,利用DEMATEL法量化准则层指标要素的影响关系强度,充分考虑指标之间的依赖-反馈关系,采用ANP法确定各指标的权重,通过追求最大化群体效益和最小化个体遗憾,结合VIKOR法完成对备选方案的综合排序和选优。实例分析表明,该决策模型可以很好地适应指标体系中复杂的关联关系,有效提高指标权重分配的均衡性,具有一定的工程应用价值。
