面向属性关联的区间犹豫模糊型PROMETHEE决策方法

doi:10.12305/j.issn.1001-506X.2021.11.25

摘要/Abstract

摘要：

面向属性关联的多属性决策问题中, 合理刻画并设计融合属性关联的决策模型是提高决策绩效的重要路径。首先，分析了各类属性关联情形下的属性权重调整方法优缺点, 采用莫比乌斯变换法则变换属性关联性系数(Shaplely值), 设计了融合Shaplely值和属性权重的合成权重函数, 分析了属性关联性系数对权重的影响机制。其次, 基于偏好顺序结构评估方法(preference ranking organization methods for enrichment evaluations, PROMETHEE)决策方法的优先函数表征特征, 运用可能度比较区间犹豫模糊型数值, 设计了基于sigmoid函数的优先函数, 提出了考虑属性关联的改进型PROMETHEE决策方法。最后, 通过算例证明了所提方法的优越性。

关键词: 属性关联, PROMETHEE, 区间犹豫模糊集, 优先函数

Abstract:

In the multi-attribute decision-making problem oriented to attribute associations, a reasonable description and design of decision model incorporating attribute associations is an important way to improve decision performance. Firstly, the advantages and disadvantages of the attribute weight adjustment methods in various attribute association situations are analyzed. The Möbius transform rule is used to transform the attribute association coefficient(Shaplely value). A composite weight function that combines the Shapely value and the attribute weight is designed. The influence mechanism of the attribute correlation coefficient on the weight is analyzed.Secondly, based on the characteristic feature of the priority function of the preference ranking organization methods for enrichment evaluations (PROMETHEE) decision-making method, using the possibility degree comparison interval hesitant fuzzy value, a priority function based on the sigmoid function is designed, and an improved PROMETHEE method considering attribute correlation is proposed.Finally, numerical examples are used to illustrate the superiority of the proposed method.

Key words: attribute association, preference ranking organization methods for enrichment evaluations (PROMETHEE), interval hesitant fuzzy set, priority function

中图分类号:

C934

江文奇, 降晓璐. 面向属性关联的区间犹豫模糊型PROMETHEE决策方法[J]. 系统工程与电子技术, 2021, 43(11): 3250-3258.

Wenqi JIANG, Xiaolu JIANG. Interval hesitant fuzzy PROMETHEE decision method forattribute association[J]. Systems Engineering and Electronics, 2021, 43(11): 3250-3258.

图/表 2

参考文献 31

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a值	ϕ(a₁)	ϕ(a₂)	ϕ(a₃)	ϕ(a₄)	ϕ(a₅)	d值
1	0.220	0.129	-0.258	-0.334	0.243	0.132
2	0.329	0.262	-0.460	-0.560	0.429	0.438
3	0.340	0.382	-0.598	-0.676	0.552	0.739
4	0.311	0.476	-0.690	-0.726	0.630	0.851
5	0.275	0.541	-0.754	-0.742	0.679	0.910
6	0.246	0.584	-0.800	-0.740	0.710	0.899
7	0.225	0.611	-0.835	-0.730	0.729	0.885
8	0.210	0.628	-0.863	-0.717	0.742	0.872
9	0.201	0.638	-0.886	-0.702	0.749	0.861
10	0.195	0.644	-0.905	-0.688	0.754	0.851

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