基于自信双层语言偏好关系的大规模群体共识决策方法及其应用研究

doi:10.16381/j.cnki.issn1003-207x.2021.0927

Abstract

Abstract:

Double hierarchy linguistic term set is a complex linguistic representation model provided from the angle of 2-tuple linguistic structure. By giving the self-confident degree to each preference information， the concept of self-confident double hierarchy linguistic preference relation （SC-DHLPR） is obtained when experts provide their preference information. The large-scale group consensus decision-making method based on SC-DHLPRs and its application are studied. Firstly， the additive consistency measure of a SC-DHLPR and the consistency checking and inconsistency repairing methods are researched. Then， the large-scale group consensus decision-making method based on SC-DHLPRs is developed including experts clustering method， weights-determining method and large-scale group consensus decision-making method. Finally， the proposed large-scale group consensus decision-making method is applied to a practical decision-making method involving the evaluation of special education reform in Sichuan Province. By making comparative analyses with some existing methods， the effectiveness and applicability of the methods studied in this paper are highlighted.

Key words: self-confident double hierarchy linguistic preference relations, large-scale group decision-making method, consensus, Sichuan Province, special education reform evaluation

CLC Number:

C934

Xun-jie GOU,Fu-min DENG,Ze-shui XU. The Application of the Large-scale Group Consensus Decision-making Method Based on Self-confident Double Hierarchy Linguistic Preference Relations[J]. Chinese Journal of Management Science, 2023, 31(9): 222-232.

Figures/Tables 3

语言术语集粒度	$m = 3$	$m = 4$	$m = 5$	$m = 6$	$m = 7$	$m = 8$
$T = 5$	0.2207	0.3030	0.3488	0.3774	0.3970	0.4112
$T = 9$	0.1103	0.1515	0.1744	0.1887	0.1985	0.2056
$T = 17$	0.0552	0.0758	0.0872	0.0944	0.0993	0.1028

一致性指标	$a$
	1	2	3	4	5	6	7
$C I (R a (0))$	0.1621	0.1048	0.1565	0.0239	0.0657	0.0383	0.0592
	8	9	10	11	12	13	14
$C I (R a (0))$	0.1145	0.0605	0.0393	0.0349	0.0239	0.0585	0.0433
	15	16	17	18	19	20
$C I (R a (0))$	0.0638	0.0349	0.0549	0.0090	0.0669	0.0271

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数值	语义
1	完全不自信
2	很低的自信度
3	低的自信度
4	中等的自信度
5	高的自信度
6	很高的自信度
7	完全自信

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The Application of the Large-scale Group Consensus Decision-making Method Based on Self-confident Double Hierarchy Linguistic Preference Relations

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