基于优化的组合赋权TOPSIS法在油船方案决策中的应用
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摘要
多属性决策问题中,属性权重在很大程度上影响决策结果。通过分析主观赋权法和客观赋权法的优缺点,提出了一种新的组合赋权方法。该方法应用序列二次优化方法求解组合权向量,使最终的组合权向量与专家统计评分法、层次分析法、信息熵法、变异系数法这四种单一的主客观赋权方法相似度最高。将这种组合赋权方式与TOPSIS法结合应用于DW=35 000t原油船方案决策分析,并与传统的层次分析法优选方案比较。算例表明,新的组合赋权TOPSIS法原理简单,可解释性强;同时该方法充分利用客观信息,兼顾专家主观偏好,决策方案更加合理、可信。这种综合方法也能推广应用于船舶决策的相关领域。
The ranking results of multi-attribute decision making is closely related to the weight vector.The advantages and disadvantages of subjective weighting method and objective weighting method are analyzed and a new combination weighting method is proposed.In this method,the sequential quadratic optimization method is used to ensure that the ultimate weight vector has a highest degree of similarity with the four subjective and objective weighting methods.Then,combined this weighting method with TOPSIS method and applied to crude oil tanker decision.The results,compared with the analytic hierarchy process show that this new combination weighting TOPSIS method is explainable,at the same time,using of objective information and taking into account the subjective preferences of the experts make the decision-making programs more reasonable and credible.This comprehensive approach can promoted to the related areas of the shipform assessment.
The ranking results of multi-attribute decision making is closely related to the weight vector.The advantages and disadvantages of subjective weighting method and objective weighting method are analyzed and a new combination weighting method is proposed.In this method,the sequential quadratic optimization method is used to ensure that the ultimate weight vector has a highest degree of similarity with the four subjective and objective weighting methods.Then,combined this weighting method with TOPSIS method and applied to crude oil tanker decision.The results,compared with the analytic hierarchy process show that this new combination weighting TOPSIS method is explainable,at the same time,using of objective information and taking into account the subjective preferences of the experts make the decision-making programs more reasonable and credible.This comprehensive approach can promoted to the related areas of the shipform assessment.
引文
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[8]张汪寿,耿润哲,王晓燕等.基于多准则分析的非点源污染评价和分区——以北京怀柔区北宅小流域为例[J].环境科学学报,2013,33(1):258-266.
[9]周伟,王文英,袁兆康.江西省11地市城市社区卫生服务中心服务能力评价[J].中国全科医学,2013,16(1):26-28.
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[11]刘寅东,唐焕文.船型多方案选优决策的层次分析方法[J].船舶工程,1996,1:2225.
[2]刘寅东,余秀丽,苏绍娟.西江干线集装箱船船型论证[J].船海工程,2011,2:9-13.
[3]周大伟,许辉,赵海江等.舰船主尺度论证中的多目标综合评估[J].中国舰船研究,2011,6(06):71-74.
[4]唐正茂,解德,马士虎.船舶概念设计阶段多学科和多目标优化研究[J].船舶力学,2010,14(8):879
[5]杨路春,李学斌,丁明君等.多目标遗传算法和决策在船型论证中的应用[J].哈尔滨工程大学学报,2012,33(12):1459-1464.
[6]李学斌,甘霖.舰船概念设计多目标优化和多属性决策研究[J].中国舰船研究,2008,3(3):14-17.
[7]Dashti Z,Pedram M M,Shanbehzadeh J.A Multicriteria Decision Making based Method for Ranking Sequential Patterns[C].International Multiconference of Engineers and Computers Scientists March,2010:17-19.
[8]张汪寿,耿润哲,王晓燕等.基于多准则分析的非点源污染评价和分区——以北京怀柔区北宅小流域为例[J].环境科学学报,2013,33(1):258-266.
[9]周伟,王文英,袁兆康.江西省11地市城市社区卫生服务中心服务能力评价[J].中国全科医学,2013,16(1):26-28.
[10]牟雄飞,黄波.基于TOPSIS框架下的物流中心选址研究[J].现代经济:现代物业中旬刊,2012,9:25-29.
[11]刘寅东,唐焕文.船型多方案选优决策的层次分析方法[J].船舶工程,1996,1:2225.