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

Abstract

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

CLC Number:

C934

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

Figures/Tables 2

References 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

[1]	SUN Shiyan, ZHU Huimin. PROMETHEE’s parameters setting method based on robustness analysis [J]. Systems Engineering and Electronics, 2017, 39(1): 120-124.
[2]	TONG Jun, SHAN Gan-lin. Modeling and solution of task oriented multi-sensor resources preallocation [J]. Journal of Systems Engineering and Electronics, 2012, 34(10): 2036-2044.

Interval hesitant fuzzy PROMETHEE decision method forattribute association

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