基于混合不确定信息公理的产品服务系统概念方案评价  

Conceptual Schemes Evaluation of Product Service System Based on Hybrid Uncertain Information Axiom

作　　者：李孟泽 纪妍 陈刚 李玉鹏[1] LI Meng-ze;JI Yan;CHEN Gang;LI Yu-peng(Department of Industrial Engineering,School of Mines,China University of Mining and Technology,Jiangsu Xuzhou 221116,China)

机构地区：[1]中国矿业大学矿业工程学院工业工程系,江苏徐州221116

出　　处：《机械设计与制造》2020年第9期292-295,300,共5页Machinery Design & Manufacture

基　　金：国家自然科学基金(51505480);江苏省自然科学基金(BK20150197)。

摘　　要：针对区间变量、不确定语言变量和混合不确定变量共存的产品服务系统概念方案评价问题,拓展了混合不确定信息公理方法。首先,采用线性变换法分别对上述三类数据进行规范化处理,采用熵权法确定指标权重;其次,分别用传统信息公理和模糊信息公理计算区间变量和不确定语言变量的信息量,针对模糊性和随机性共存的混合不确定指标,其信息量的计算涉及到上下界为模糊数的积分,通过重心法和符号法将模糊设计范围反模糊化,得到系统范围的积分上下限;最后,将各指标的信息量加权求和得到各方案的信息量,按信息量的大小确定出最优方案。最后,以某公司汽车产品服务系统方案评价为例,证明了所提方法的可行性和有效性。To the conceptual scheme evaluation problem of product service system involving the interval variables,uncertain language variables and mixed uncertain variables,the hybrid uncertain information axiom is developed.Firstly,the linear transformation method is used to normalize the above three kinds of evaluation data,and the weight of the indices is determined by the entropy weighting method.Secondly,the information content of the interval variables and uncertain linguistic variables are obtained by using the traditional information axiom and fuzzy information axiom,respectively.Due to the reason that the calculation of the information content of the hybrid uncertain indices with fuzziness and randomness involves the integral of which the upper and lower bounds are fuzzy numbers,the fuzzy design scope is defuzzified by the centroid method and the symbol method,and then the bounds of the integral of the system range are obtained.Finally,the information of each index is summed up and the optimal scheme is determined according to the information content.In the end,a case of the evaluation of a company’s automobile product service system is studied to verify the feasibility and effectiveness of the proposed approach.

关 键 词：方案评价 产品服务系统 混合不确定环境 信息公理 

分 类 号：TH16[机械工程—机械制造及自动化] TH122