Please wait a minute...
J4  2013, Vol. 47 Issue (4): 711-719    DOI: 10.3785/j.issn.1008-973X.2013.04.023
电气与机械工程     
复杂产品设计方案联合变权群决策方法
萨日娜1,2, 张树有 1
1.浙江大学 流体动力与机电系统国家重点实验室,浙江 杭州 310027; 2.内蒙古工业大学 机械学院,内蒙古 呼和浩特 010051
Conjoint variable weight group decision method for complex product scheme design
Sarina1,2, ZHANG Shu-you1
1.State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China; 2. College of Mechanical Engineering, Inner Mongolia University of Technology, Hohhot 010051, China
 全文: PDF 
摘要:

针对产品方案设计决策中评价指标权重不确定性及难以满足均衡评价的问题,提出基于VIKOR的产品方案联合变权群决策方法.考虑专家个体对评价指标权重差异引起的不确定性,结合联合分析和变权理论估计评价指标重要度.将群决策评价指标总体效用值矢量看作评价指标常权矢量,专家个体的评价指标权重矢量看作状态变权矢量,给出变权平均值及群决策联合变权方法,得出评价指标重要度.考虑方案评价中多粒度语言评价值及均衡性,将统一粒度二元语义和群决策联合变权方法融入VIKOR分析,构建基于多粒度语言的VIKOR群决策方法.以数控机床运动方案评价为例,说明了该方法的有效性和可行性.

关键词: 设计方案群决策联合分析变权    
Abstract:

 A novel product scheme selection method upon conjoint variable weight and VIKOR method was proposed in order to meet an evaluating criteria importance uncertainty and a trade-off evaluation problem at a complex product scheme design decision making stage. Considering the criteria weights’uncertainty given by each expert, the variable evaluating criteria weight was determined through the conjoint analysis (CA) and the variable weight theory, regarding a group decision conjoint utility vector as the constant weight vector, and personal weight vectors as the state variable weight vector. Additionally, a VIKOR group decision method was developed to solve the function and cost criteria trade-off decision making upon multi granularity linguistic evaluation, through integrating the conjoint variable criteria weights and unified granularity two-tuple linguistic into the VIKOR method. A NC machine tools kinematic design scheme evaluation example was proposed to illustrate an application of the proposed method.

Key words: design scheme    group decision    conjoint analysis    variable weight
出版日期: 2013-05-07
:  TH 166  
基金资助:

国家“973”重点基础研究发展规划资助项目(2011CB706506);国家自然科学基金资助项目(51275458);数控机床与基础制造装备基础及关键技术标准研究资助项目(2011ZX04014-131).

通讯作者: 张树有,男,教授,博导.     E-mail: zsy@zju.edu.cn
作者简介: 萨日娜(1981—),女,博士生,从事产品数字化设计及产品方案设计理论的研究. E-mail: sarina308@yahoo.com.cn
服务  
把本文推荐给朋友
加入引用管理器
E-mail Alert
RSS
作者相关文章  

引用本文:

萨日娜, 张树有. 复杂产品设计方案联合变权群决策方法[J]. J4, 2013, 47(4): 711-719.

Sarina, ZHANG Shu-you. Conjoint variable weight group decision method for complex product scheme design. J4, 2013, 47(4): 711-719.

链接本文:

http://www.zjujournals.com/xueshu/eng/CN/10.3785/j.issn.1008-973X.2013.04.023        http://www.zjujournals.com/xueshu/eng/CN/Y2013/V47/I4/711

[1]  MUAMMER O. Factors which influence decision making in new product evaluation [J]. European Journal of Operational Research. 2005, 163(3): 784-801.
[2] GULFEN T, BBHADIR G, CENGIZ K, et al. An integrated fuzzy multi-criteria decision making methodology for material handling equipment selection problem and an application [J]. Expert Systems with Applications, 2010, 37(4): 2853-2863.
[3] WANG Wen-pai. Evaluating new product development performance by fuzzy linguistic computing [J]. Expert Systems with Applications, 2009, 36(6): 9759-9766.
[4] AKAY D, KULAK O, HENSON B. Conceptual design evaluation using interval type-2 fuzzy information axiom [J]. Computers In Industry, 2011, 62(2): 138-146.
[5] NGAN S C. Decision making with extended fuzzy linguistic computing, with applications new product development and survey analysis [J]. Expert Systems with Applications, 2011, 38(11): 1405-1409.
[6] HERRERA F, HERRERA V E, VERDEGAY J. A linguistic decision process in group decision making [J]. Group Decision and Negotiation, 1996, 5(1): 165-176.
[7] HERRERA F, HERRERA V E, MARTINEZ L. A fusion approach for managing multi-granularity linguistic term sets in decision making [J]. Fuzzy Sets and Systems, 2000, 114(1): 43-58.
[8] HERRERA F, MARTINEZ J L. A 2-tuple fuzzy linguistic representation model for computing with words [J]. IEEE Transaction on Fuzzy Systems, 2000, 8(6): 746-752.
[9] 张在房, 褚学宁, 程辉. 基于模糊加权最小二乘的多粒度语言决策信息集成[J]. 上海交通大学学报, 2009, 43(9): 1377-1382.

ZHANG Zai-fang, CHU Xue-ning, CHENG Hui. Aggregating multi-granulity decision making information based on fuzzy weighted least squares method [J]. Journal of Shanghai Jiaotong University, 2009, 43(9): 1377-1382.
[10] YANG Wei, CHEN Zhi-ping. New aggregation operators based on the choquet integral and 2-tuple linguistic information [J]. Expert Systems with Application, 2012, 39(3): 2662-2668.
[11] ARMIN S, LAURA M, Roland H, et al. Solving multiattribute design problems with analytic hierarchy process and conjoint analysis: an empirical comparison [J]. Expert System with Operational Research, 2005, 164(3): 760-777.
[12] OPRICOVIC S, TZENG G H. Extended VIKOR method in comparison with outranking methods [J]. European Journal of Operational Research, 2007, 178(2): 514-529.
[13] MOHAMMAD K S, MAJEED H, KAMRAN S. Extension of VIKOR method for decision making problem with interval numbers [J]. Applied Mathematical Modelling, 2009, 33(5): 2257-2262.
[14] 丁瑶, 杜亚男,王同乐,等. 基于模糊综合评价的数控磨床运动方案设计[J]. 机电产品开发与创新, 2011, 24(4): 155-157.

DING Yao, DU Ya-nan, WANG Tong-le, et al. Movement scheme design of CNC grinding machine based on fuzzy comprehensive evaluation [J]. Development and Innovation of Machinery and Electrical Products, 2011, 24(4): 155-157.

[1] 谢宪毅, 金立生, 高琳琳, 夏海鹏. 基于变权重系数的LQR车辆后轮主动转向控制研究[J]. 浙江大学学报(工学版), 2018, 52(3): 446-452.
[2] 许翔, 黄侨, 任远. 局部变权和云理论在悬索桥综合评估中的应用[J]. 浙江大学学报(工学版), 2017, 51(8): 1544-1550.
[3] 王自立, 张树有, 裘乐淼. 基于可信度区间的注塑装备设计塑化能耗分析[J]. 浙江大学学报(工学版), 2017, 51(2): 328-335.
[4] 王仁超, 邓剑, 曹婷婷. 基于改进VIKOR法的进度计划方案选择问题研究[J]. 浙江大学学报(工学版), 2016, 50(10): 2025-2030.
[5] 张浩, 裘乐淼, 张树有, 张鹏. 基于集对分析的可重构机床配置方案评价方法[J]. 浙江大学学报(工学版), 2015, 49(7): 1232-1241.
[6] 王正新. 全信息变权缓冲算子的构造及应用[J]. J4, 2013, 47(6): 1120-1128.
[7] 罗成对,冯毅雄,谭建荣,安相华. 基于语义PROMETHEE的产品设计方案群体多准则求解[J]. J4, 2012, 46(3): 524-532.
[8] 安相华,冯毅雄,谭建荣. 基于Choquet积分与证据理论的
产品方案协同评价方法
[J]. J4, 2012, 46(1): 163-169.