基于群组DEMATEL与灰关联投影的供应商质量绩效评价

doi:10.12305/j.issn.1001-506X.2021.04.15

Abstract

Abstract:

Aiming at the problem that the supplier access evaluation model in the early stage of the construction of the existing equipment procurement supply chain rarely considers the fuzzy preference of subjective judgment and the internal correlation of evaluation indicators, a mixed multi-attribute group decision model is proposed based on decision making trial and evaluation laboratory (DEMATEL) and gray correlation projection to evaluate the quality performance of equipment procurement suppliers. The model takes into account the combination of quantitative and qualitative attribute forms, and transforms the qualitative evaluation information into the form of intuitionistic fuzzy numbers. First, it aggregates the subjective group decision fuzzy information by considering the fuzzy measure generalized Shapley Choquet integral operator associated with expert preference. Then, the group DEMATEL method is extended to a fuzzy environment to determine the index weights with intrinsic associations. Finally, the improved grey association projection method is used to aggregate subjective and objective evaluation information to obtain the ranking of the final suppliers. The comparison of examples and sensitivity analysis show that the model has a strong practicability and a good operability, and can effectively solve the group decision problem under mixed attributes.

Key words: fuzzy measure, decision making trial and evaluation laboratory (DEMATEL), grey correlation projection, Choquet integral, Shapley function

CLC Number:

C934

Dubo HE, Dong HUANG, Wencheng SHI. Evaluation of supplier quality performance based on group DEMATEL and grey correlation projection[J]. Systems Engineering and Electronics, 2021, 43(4): 980-990.

Figures/Tables 14

Table 1

Fig.1

Table 2

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Table 12

Fig.2

References 33

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评价指标		指标含义	指标类型
质量控制能力	生产故障发生率	生产运作的质量水平	精确数
	产品返修率	产品售后使用质量水平	精确数
	质量保障体系	内部质量管理成熟度	语义变量
技术支撑能力	产品研发能力	供应商新产品研发周期	区间数
	产品设计升级能力	供应商技术升级水平衡量	语义变量
	先进设备比例	供应商生产设备先进性	精确数
服务协同能力	售后服务能力	供应商售后服务满意度	语义变量
	服务需求响应	供应商响应客户需求时间周期	语义变量
	变更生产能力	供应商紧急订货交货时间周期	语义变量
产品交付能力	提前交货能力	供应商交货提前期	区间数
	按期交付能力	供应商按时交付产品比率	精确数
	订单履行能力	供应商订单履行率	精确数

评价准则	准则属性	数据类型	分类
生产故障发生率C₁	客观	精确数	C
产品返修率C₂	客观	精确数	C
质量保障体系C₃	主观	语义变量	B
产品研发能力C₄	客观	区间数	C
产品设计升级能力C₅	主观	语义变量	B
先进设备比例C₆	客观	精确数	B
售后服务水平C₇	主观	语义变量	B
服务需求响应C₈	主观	语义变量	B
变更生产能力C₉	主观	语义变量	B
提前交货能力C₁₀	客观	区间数	B
按期交付能力C₁₁	客观	精确数	B
订单履行能力C₁₂	客观	精确数	B

供应商	成本型指标
供应商	C₃	C₅	C₇	C₈	C₉
S₁	(0.8, 0.1)	(0.8, 0.2)	(0.6, 0.3)	(0.6, 0.3)	(0.7, 0.2)
S₂	(0.8, 0.2)	(0.5, 0.4)	(0.5, 0.3)	(0.6, 0.2)	(0.5, 0.2)
S₃	(0.6, 0.3)	(0.5, 0.3)	(0.6, 0.3)	(0.5, 0.2)	(0.7, 0.1)
S₄	(0.5, 0.2)	(0.5, 0.3)	(0.6, 0.3)	(0.7, 0.1)	(0.5, 0.2)

供应商	成本型指标
供应商	C₃	C₅	C₇	C₈	C₉
S₁	(0.8, 0.2)	(0.7, 0.2)	(0.6, 0.3)	(0.6, 0.3)	(0.7, 0.2)
S₂	(0.7, 0.2)	(0.6, 0.4)	(0.6, 0.2)	(0.6, 0.2)	(0.5, 0.2)
S₃	(0.6, 0.2)	(0.5, 0.3)	(0.7, 0.3)	(0.5, 0.3)	(0.8, 0.1)
S₄	(0.4, 0.3)	(0.5, 0.3)	(0.6, 0.3)	(0.7, 0.2)	(0.6, 0.2)

供应商	成本型指标
供应商	C₃	C₅	C₇	C₈	C₉
S₁	(0.7, 0.2)	(0.8, 0.1)	(0.6, 0.3)	(0.6, 0.3)	(0.6, 0.2)
S₂	(0.7, 0.2)	(0.5, 0.4)	(0.6, 0.2)	(0.6, 0.2)	(0.6, 0.2)
S₃	(0.7, 0.3)	(0.6, 0.2)	(0.6, 0.4)	(0.7, 0.1)	(0.7, 0.2)
S₄	(0.6, 0.1)	(0.6, 0.2)	(0.7, 0.3)	(0.7, 0.1)	(0.7, 0.2)

Evaluation of supplier quality performance based on group DEMATEL and grey correlation projection

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专家联盟(集合)	λ模糊测度	λ-Shapley模糊测度
{e₁}	0.539 7	0.331 2
{e₂}	0.540 2	0.331 6
{e₃}	0.547 3	0.337 1
{e₁, e₂}	0.835 7	0.580 4
{e₂, e₃}	0.839 9	0.586 8
{e₁, e₃}	0.839 7	0.586 4
{e₁, e₂, e₃}	1.000 0	1.000 0

成本型指标	P	Q	M	X	权重	类型
C₁	1.260	2.610	3.870	-1.349	0.126	结果型
C₂	1.535	1.421	2.956	0.114	0.091	原因型
C₃	0.886	1.078	1.964	-0.192	0.060	结果型
C₄	0.980	1.179	2.160	-0.199	0.066	结果型
C₅	1.880	1.306	3.186	0.574	0.099	原因型
C₆	1.764	1.206	2.970	0.558	0.093	原因型
C₇	1.322	1.072	2.394	0.250	0.074	原因型
C₈	1.003	0.991	1.994	0.013	0.061	原因型
C₉	0.764	1.355	2.118	-0.591	0.067	结果型
C₁₀	2.306	1.703	4.009	0.603	0.124	原因型
C₁₁	0.888	0.772	1.659	0.116	0.051	原因型
C₁₂	1.487	1.383	2.869	0.104	0.088	原因型

评价模型	供应商排序
本文模型	S₃>S₄>S₁>S₂
文献[22]模型	S₁>S₃>S₄>S₂

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[4]	. The Shapley function for cooperative fuzzy games on convex geometries [J]. Journal of Systems Engineering and Electronics, 2011, 33(6): 1305-1309.
[5]	MENG Fanyong, ZHANG Qiang. Fuzzy cooperative games with Choquet integral form [J]. Journal of Systems Engineering and Electronics, 2010, 32(7): 1430-1436.
[6]	WU Jian-zhang,ZHANG Qiang. 2-order additive fuzzy measures identification method based on maximum entropy principle [J]. Journal of Systems Engineering and Electronics, 2010, 32(11): 2346-2351.
[7]	TAN Chun-qiao,MA Ben-jiang. Multi-attribute group decision making based on linguistic Choquet integral operator [J]. Journal of Systems Engineering and Electronics, 2010, 32(11): 2352-2355.

成本型指标	供应商
成本型指标	S₁	S₂	S₃	S₄
C₁/%	4	3	1.5	2
C₂/%	3	2.7	1.9	2.4
C₄/天数	[30, 45]	[25, 40]	[45, 60]	[30, 40]
C₆/%	80	85	75	90
C₁₀/天数	[5, 10]	[3, 7]	[10, 15]	[5, 12]
C₁₁/%	95	93	94	90
C₁₂/%	90	85	90	95

供应商	成本型指标
供应商	C₃	C₅	C₇	C₈	C₉
S₁	(0.763, 0.159)	(0.779, 0.114 9)	(0.600, 0.300)	(0.600, 0.300)	(0.662, 0.200)
S₂	(0.738, 0.200)	(0.527, 0.400)	(0.569 3, 0.229)	(0.600, 0.200)	(0.545, 0.200)
S₃	(0.646, 0.271)	(0.545, 0.253)	(0.628, 0.339)	(0.597, 0.165)	(0.728, 0.139)
S₄	(0.523 5, 0.165)	(0.545, 0.253)	(0.646, 0.300)	(0.700, 0.119)	(0.618, 0.200)

成本型指标	供应商
成本型指标	S₁	S₂	S₃	S₄
C₁	0.375	0.500	1.000	0.750
C₂	0.633	0.704	1.000	0.792
C₃	(0.763, 0.159)	(0.738, 0.200)	(0.646, 0.271)	(0.523 5, 0.165)
C₄	[0.500, 0.750]	[0.417, 0.667]	[0.750, 1.000]	[0.500, 0.667]
C₅	(0.779, 0.114 9)	(0.527, 0.400)	(0.545, 0.253)	(0.545, 0.253)
C₆	0.889	0.944	0.833	1.000
C₇	(0.600, 0.300)	(0.569 3, 0.229)	(0.628, 0.339)	(0.646, 0.300)
C₈	(0.600, 0.300)	(0.600, 0.200)	(0.597, 0.165)	(0.700, 0.119)
C₉	(0.662, 0.200)	(0.545, 0.200)	(0.728, 0.139)	(0.618, 0.200)
C₁₀	[0.333, 0.750]	[0.200, 0.467]	[0.667, 1.000]	[0.333, 0.800]
C₁₁	1.000	0.979	0.989	0.947
C₁₂	0.947	0.895	0.947	1.000

成本型指标	供应商
成本型指标	S₁	S₂	S₃	S₄
Z⁺	0.177	0.170	0.223	0.193
Z^-	0.224	0.231	0.192	0.206
E	0.385	0.349	0.575	0.467