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

摘要/Abstract

摘要：

双层语言术语集是一种基于二元语言结构提出的复杂语言表达模型。在专家提出偏好信息的同时，通过赋予其自信度信息，能够得到自信双层语言偏好关系。本文开展了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。首先，研究了自信双层语言偏好关系的加性一致性，并提出了一致性检验和非一致性修正方法。其次，提出了基于自信双层语言偏好关系的大规模群体共识决策方法，包括专家聚类算法、权重确定方法和大规模群体共识决策方法。最后，将提出的大规模群体共识决策方法应用于四川省特殊教育改革评估，进而通过对比分析，证实了本文研究的有效性和适用性。

关键词: 自信双层语言偏好关系, 大规模群体决策方法, 共识, 四川省, 特殊教育改革评估

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

中图分类号:

C934

缑迅杰,邓富民,徐泽水. 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[J]. 中国管理科学, 2023, 31(9): 222-232.

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.

图/表 3

表1

表2

含有语言信息的偏好关系的一致性阈值"

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

表2

表3

所有SC-DHLPR的一致性测度"

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

表3

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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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