[产品服务]基于粗糙Choquet积分的产品服务系统设计方案优选

摘要/Abstract

摘要： 以顾客需求作为评价指标，提出了基于粗糙Choquet积分的产品服务系统（PSS）设计方案评价方法。针对传统模糊评价方法中隶属度函数确定的主观性和随机性问题，采用粗糙集理论处理评价信息。通过模糊测度刻画指标关联关系的类型和强弱，采用Choquet积分算子对各方案的评价值进行集结，并对方案进行优选。最后以某企业打印机PSS设计方案评价为例进行实例验证计算，结果表明：所提方法考虑了决策过程的不确定性和评价指标间的关联关系，可有效提高方案评价结果的准确性和合理性。

关键词: 产品服务系统, 方案优选, 粗糙集, Choquet积分

Abstract: Customer requirements （CRs） were used as evaluation indicators，and a PSS concept evaluation method was proposed based on rough Choquet integral.The determination of membership function of traditional fuzzy evaluation methods was subjective and random，and aiming at the problem，rough set theory was applied to deal with the evaluation informations.The type and strength of the indicator association relationships were described by fuzzy measures， and the Choquet integration operator was used to assemble the evaluation values of each concepts.Finally，an example of evaluating a company's printer PSS concepts was given out to verify the proposed method.The results show that the proposed method considers the uncertainty of the decision-making processes and the relationships of the evaluation indicators，and effectively improves the accuracy and rationality of the evaluation results.

Key words: product-service system（PSS）, optimization of concept, rough set, Choquet integral

中图分类号:

TH122
N94

邱华清, 耿秀丽, 徐轶才. [产品服务]基于粗糙Choquet积分的产品服务系统设计方案优选[J]. 中国机械工程.

QIU Huaqing, GENG Xiuli, XU Yicai. Optimization of Product-service System Concepts Based on Rough Choquet Integral[J]. China Mechanical Engineering.

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http://www.cmemo.org.cn/CN/Y2018/V29/I20/2416

参考文献

[1]李宇鹏，孙洪胜，许亚钢.基于TOPSIS法的大型床身优选设计[J].中国机械工程，2017，28（3）：279-285.
LI Yupeng，SUN Hongsheng，XU Yagang.Preference Design of Large Machine Beds Based on TOPSIS Method [J].China Mechanical Engineering，2017，28（3）：279-285.
[2]张莉，冯定忠，刘鹏玉，等.基于灰数逼近理想解排序法的夹具设计方案评价[J].中国机械工程，2016，27（20）：2728-2734.
ZHANG Li，FENG Dingzhong，LIU Pengyu，et al.Evaluation of Jig and Fixture Design Scheme Based on Grey Number TOPSIS [J].China Mechanical Engineering，2016，27（20）：2728-2734.
[3]TIWARI V，JAIN P K，TANDON P.Product Design Concept Evaluation Using Rough Sets and VIKOR Method [J].Advanced Engineering Informatics，2016，30（1）：16-25.
[4]MOUSAVI-NASAB S H，SOTOUDEH-ANVARI A.A Comprehensive MCDM-based Approach Using TOPSIS，COPRAS and DEA as an Auxiliary Tool for Material Selection Problems [J].Materials and Design，2017，121：237-253.
[5]GRABISCH M，LABREUCHE C.A Decade of Application of the Choquet and Sugeno Integrals in Multi-criteria Decision Aid [J]．4OR：a Quarterly Journal of Operations Research，2008，6（1）：1-44．
[6]谭春桥，马本江.基于语言Choquet积分算子的多属性群决策方法[J].系统工程与电子技术，2010，32（11）：2352-2355.
TAN Chunqiao，MA Benjiang.Multi-attribute Group Decision Making Based on Linguistic Choquet Integral Operator [J].Systems Engineering and Electronics，2010，32（11）：2352-2355.
[7]CHEN D P，CHU X N，SUN X W，et al.A New Product Service System Concept Evaluation Approach Based on Information Axiom in a Fuzzy-stochastic Environment [J].International Journal of Computer Integrated Manufacturing，2015，28（11）：1123-1141.
[8]LI M，JIN L，WANG J.A New MCDM Method Combining QFD with TOPSIS for Knowledge Management System Selection from the User's Perspective in Intuitionistic Fuzzy Environment [J].Applied Soft Computing，2014，21：28-37.
[9]ZHANG Y，XIE A，WU Y.A Hesitant Fuzzy Multiple Attribute Decision Making Method Based on Linear Programming and TOPSIS [J].IFAC Papersonline，2015，48（28）：427-431.
[10]宋文燕，明新国.基于粗糙理想解法的工业产品服务配置方案决策方法[J].计算机集成制造系统，2016，22（1）：88-94.
SONG Wenyan，MING Xinguo.Decision-making Method for Configuration Alternative of Industrial Product-service Based on Rough TOPSIS [J].Computer Integrated Manufacturing Systems，2016，22（1）：88-94.
[11]SONIA H，NESRIN H，CHABOUCHOUB H.Development of Some Linguistic Aggregation Operators with Conservation of Interaction between Criteria and Their Application in Multiple Attribute Group Decision Problems[J].TOP，2016，24（3）：635-664.
[12]WANG J Q，WANG D D，ZHANG H Y，et al.Multi-criteria Group Decision Making Method Based on Interval 2-tuple Linguistic Information and Choquet Integral Aggregation Operators [J].Soft Computing，2015，19（2）：389-405.
[13]DEEPA J，SANJAY K.Interval-valued Intuitionistic Hesitant Fuzzy Choquet Integral Based TOPSIS Method for Multi-criteria Group Decision Making[J].European Journal of Operational Research，2016，248（1）：183-191.
[14]王大澳，菅利荣，刘思峰，等.基于Choquet积分的多属性灰靶群决策方法[J].控制与决策，2017，32（7）：1286-1292.
WANG Daao，JIAN Lirong，LIU Sifeng，et al.Approach for Multi-attribute Grey Target Group Decision-making Based on Choquet Integral [J].Control and Decision，2017，32（7）：1286-1292.
[15]ZHAI L Y，KHOO L P，ZHONG Z W.A Rough Set Based QFD Approach to the Management of Imprecise Design Information in Product Development [J].Advanced Engineering Informatics，2009，23（2）：222-228.
[16]徐泽水，达庆利.区间数排序的可能度法及其应用[J].系统工程学报，2003，18（1）：67-70.
XU Zeshui，DA Qingli.Possibility Degree Method for Ranking Interval Numbers and Its Application [J].Journal of Systems Engineering，2003，18（1）：67-70.
[17]XU Z S.Choquet Integral of Weighted Intuitionistic Fuzzy Information [J].Information Sciences，2010，180（5）：726-736.
[18]MUROFUSHI T，SUGENO M.An Interpretation of Fuzzy Measure and Choquet Integral as an Integral with Respect to a Fuzzy Measure [J].Fuzzy Sets and System，1989，29：201-227.
[19]常志朋，程龙生，崔立志.基于马田系统的区间Choquet模糊积分多属性决策方法[J].控制与决策，2016，31（1）：180-186.
CHANG Zhipeng，CHENG Longsheng，CUI Lizhi.Interval Choquet Fuzzy Integral Multi-attribute Decision Making Method Based on Mahalanobis –Taguchi System [J].Control and Decision，2016，31（1）：180-186.
[20]樊治平，宫贤斌，张全.区间数多属性决策中决策矩阵的规范化方法[J].东北大学学报（自然科学版），1999，20（3）：326-329.
FAN Zhiping，GONG Xianbin，ZHANG Quan.Methods of Normalizing the Decision Matrix for Multiple Attribute Decision Making Problems with Intervals [J].Journal of Northeastern University （Natural Science），1999，20（3）：326-329.
[21]白涛，李中凯.基于模糊Kano模型的顾客需求重要度计算方法[J].中国机械工程，2012，23（8）：975-980.
BAI Tao，LI Zhongkai.A Customer Needs Importance Rating Method Based on Fuzzy Kano Model [J].China Mechanical Engineering，2012，23（8）：975-980.