不确定条件下产品模块划分方案评价方法
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摘要
针对模块化产品设计过程中模块划分结果的评价与决策问题,提出基于不确定语言变量多属性决策的评价方法。不同的模块划分方法、划分标准,可获得不同的模块划分方案,需对这些方案进行评价与决策。依据成本多属性评价体系,运用依赖型不确定语言有序加权几何(Dependent uncertain linguistic ordered weighted geometric,DULOWG)算子,对模块划分方案做出评价。由评价者对模块划分方案关于属性进行测度,构建多属性评价矩阵,借助不确定语言变量调整权重,从而降低评价者因主观性导致评价结果的不合理,从而提高评价方法的客观性和有效性。在此基础上对各方案进行评价计算得到成本多属性综合影响下的最优方案,并以开关柜为实例验证了该方法的可行性与有效性。同时,将本文方法与模糊层次分析法进行比较,指出本文方法的优越性。
To solve evaluation and decision making problems on module division in modular product design,an evaluation method was presented based on uncertain linguistic multiple attribute decision making. Different module partition methods and criteria may result in different module partition options,calling for proper evaluation to make an appropriate decision. According to the multi-attribute cost evaluation system,and with the help of DULOWG(dependent uncertain linguistic ordered weighted geometric) operator,give evaluation on module division.Attributes of module division options were reckoned,a multi-attribute evaluation matrix was proposed,by using uncertain linguistic variables to adjust the weight,in order to reduce subjectivity and improve its objectivity and validity. Eventually,an optimal solution was arrived with the comprehensive influence of multi-attribute costs by assessing different options. A switch-gear was taken as an example to demonstrate the feasibility and effectiveness of the method. At the same time,this method was compared with the fuzzy analytic hierarchy process,and the advantages of the method were presented.
To solve evaluation and decision making problems on module division in modular product design,an evaluation method was presented based on uncertain linguistic multiple attribute decision making. Different module partition methods and criteria may result in different module partition options,calling for proper evaluation to make an appropriate decision. According to the multi-attribute cost evaluation system,and with the help of DULOWG(dependent uncertain linguistic ordered weighted geometric) operator,give evaluation on module division.Attributes of module division options were reckoned,a multi-attribute evaluation matrix was proposed,by using uncertain linguistic variables to adjust the weight,in order to reduce subjectivity and improve its objectivity and validity. Eventually,an optimal solution was arrived with the comprehensive influence of multi-attribute costs by assessing different options. A switch-gear was taken as an example to demonstrate the feasibility and effectiveness of the method. At the same time,this method was compared with the fuzzy analytic hierarchy process,and the advantages of the method were presented.
引文
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[8]Goswami M,Tiwari M K.A predictive risk evaluation framework for modular product concept selection in new product design environment[J].Journal of Engineering Design,2014,25(1-3):150-171
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[10]方辉,谭建荣,殷国富,等.基于改进不确定语言多属性决策的设计方案评价[J].计算机集成制造系统,2009,15(7):1257-1261,1269Fang H,Tan J R,Yin G F,et al.Design scheme evaluation based on improved uncertain-language multiattribute decision-making method[J].Computer Integrated Manufacturing Systems,2009,15(7):1257-1261,1269(in Chinese)
[11]徐泽水.基于语言信息的决策理论与方法[M].北京:科学出版社,2008Xu Z S.Linguistic decision making:theory and methods[M].Beijing:Science Press,2008(in Chinese)
[12]卫贵武.基于依赖型算子的不确定语言多属性群决策法[J].系统工程与电子技术,2010,32(4):764-769Wei G W.Method of uncertain linguistic multiple attribute group decision making based on dependent aggregation operators[J].Systems Engineering and Electronics,2010,32(4):764-769(in Chinese)
[13]Xu Z S.Induced uncertain linguistic OWA operators applied to group decision making[J].Information Fusion,2006,7(2):231-238
[14]Xu Z S.Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment[J].Information Science,2004,168(1-4):171-184
[15]Xu Z S.An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations[J].Decision Support Systems,2006,41(2):488-499
[16]张吉军.模糊层次分析法(FAHP)[J].模糊系统与数学,2000,14(2):80-88Zhang J J.Fuzzy analytical hierarchy process[J].Fuzzy Systems and Mathematics,2000,14(2):80-88(in Chinese)
[17]姬东朝,宋笔锋,喻天翔.模糊层次分析法及其在设计方案选优中的应用[J].系统工程与电子技术,2006,28(11):1692-1694,1755Ji D C,Song B F,Yu T X.FAHP and its application in the selection of design scheme[J].Systems Engineering and Electronics,2006,28(11):1692-1694,1755(in Chinese)
[2]朱春燕,唐敦兵,朱仁淼.基于公理化设计的产品模块划分方法[J].机械科学与技术,2009,28(7):926-930Zhu C Y,Tang D B,Zhu R M.Product module partition based on axiomatic design[J].Mechanical Science and Technology for Aerospace Engineering,2009,28(7):926-930(in Chinese)
[3]Wu Y L,Mao B Q,Xu L,et al.The evaluation of module division programme based on information entropy[J].Advanced Materials Research,2012,479-481:1592-1595
[4]Li H,Ji Y J,Gu X J,et al.Module partition process model and method of integrated service product[J].Computers in Industry,2012,63(4):298-308
[5]高浪,向东,彭玲,等.机电产品多策略模块划分方法[J].计算机集成制造系统,2014,20(5):1020-1028Gao L,Xiang D,Peng L,et al.Multi-strategies modular partition method for electromechanical products[J].Computer Integrated Manufacturing Systems,2014,20(5):1020-1028(in Chinese)
[6]Wei W,Fan W H,Li Z K.Multi-objective optimization and evaluation method of modular product configuration design scheme[J].The International Journal of Advanced Manufacturing Technology,2014,75(9-12):1527-1536
[7]乔虎,莫蓉,杨海成,等.一种考虑客户需求的产品模块规划方法[J].西北工业大学学报,2014,32(2):256-261Qiao H,Mo R,Yang H C,et al.A product modular planning method considering custom needs[J].Journal of Northwestern Polytechnical University,2014,32(2):256-261(in Chinese)
[8]Goswami M,Tiwari M K.A predictive risk evaluation framework for modular product concept selection in new product design environment[J].Journal of Engineering Design,2014,25(1-3):150-171
[9]肖人彬,程贤福,陈诚,等.基于公理设计和设计关联矩阵的产品平台设计新方法[J].机械工程学报,2012,48(11):94-103Xiao R B,Cheng X F,Chen C,et al.New approach to product platform design based on axiomatic design and design relationship matrix[J].Journal of Mechanical Engineering,2012,48(11):94-103(in Chinese)
[10]方辉,谭建荣,殷国富,等.基于改进不确定语言多属性决策的设计方案评价[J].计算机集成制造系统,2009,15(7):1257-1261,1269Fang H,Tan J R,Yin G F,et al.Design scheme evaluation based on improved uncertain-language multiattribute decision-making method[J].Computer Integrated Manufacturing Systems,2009,15(7):1257-1261,1269(in Chinese)
[11]徐泽水.基于语言信息的决策理论与方法[M].北京:科学出版社,2008Xu Z S.Linguistic decision making:theory and methods[M].Beijing:Science Press,2008(in Chinese)
[12]卫贵武.基于依赖型算子的不确定语言多属性群决策法[J].系统工程与电子技术,2010,32(4):764-769Wei G W.Method of uncertain linguistic multiple attribute group decision making based on dependent aggregation operators[J].Systems Engineering and Electronics,2010,32(4):764-769(in Chinese)
[13]Xu Z S.Induced uncertain linguistic OWA operators applied to group decision making[J].Information Fusion,2006,7(2):231-238
[14]Xu Z S.Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment[J].Information Science,2004,168(1-4):171-184
[15]Xu Z S.An approach based on the uncertain LOWG and induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations[J].Decision Support Systems,2006,41(2):488-499
[16]张吉军.模糊层次分析法(FAHP)[J].模糊系统与数学,2000,14(2):80-88Zhang J J.Fuzzy analytical hierarchy process[J].Fuzzy Systems and Mathematics,2000,14(2):80-88(in Chinese)
[17]姬东朝,宋笔锋,喻天翔.模糊层次分析法及其在设计方案选优中的应用[J].系统工程与电子技术,2006,28(11):1692-1694,1755Ji D C,Song B F,Yu T X.FAHP and its application in the selection of design scheme[J].Systems Engineering and Electronics,2006,28(11):1692-1694,1755(in Chinese)