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概率语言分布视角下的最小调整二分类大群体共识决策方法

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针对考虑实际分类需求的大群体决策问题,文章从偏好信息的概率分布和最小调整视角研究二分类大群体共识决策模型.首先,基于PROMETHEE Ⅱ方法,通过将数据的概率分布向量与优势度相结合,提出了一种备选方案的初排序方法;其次,根据分类需要,建立二分类选择过程,接着构建了基于最小调整的二分类共识决策优化模型,该模型能够在获取群体共识方案分类需求的同时,最小化决策者的共识调整量;最后,通过一个算例来验证方法的有效性和可行性.
A Minimum Adjustment Binary Categorical Large Group Consensus Decision Making Approach from a Probabilistic Linguistic Distribution Perspective
Aiming at the problem of large group decision-making considering the ac-tual classification needs,this paper investigates the binary classification large group consensus decision-making model from a perspective of probability distribution of preference information and minimum adjustment.Firstly,by combining the probabil-ity distribution vector of the data with the dominance degree,an alternative ranking method is proposed based on the PROMETHEE Ⅱ method.Secondly,according to the classification needs,a binary classification selection process is established.Then,a binary classification consensus optimization model based on minimum adjustment is constructed,which can minimize the amount of consensus adjustment of decision makers while obtaining the classification consensus.Finally,a numeral example is used to illustrate the validity and feasibility of the proposed method.

Probability distributiondominance degreebinary classificationmini-mum adjustmentgroup consensus

李胜利、舒婷、魏翠萍、曲国华

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太原师范学院数学与统计学院,晋中 030619

太原师范学院智能优化计算与区块链技术山西省重点实验室,晋中 030619

扬州大学数学科学学院,扬州 225002

山西财经大学管理科学与工程学院,太原 030006

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概率分布 优势度 二分类 最小调整 群体共识

国家自然科学基金山西省科技创新人才团队专项资助山西省哲学社会科学规划课题太原师范学院研究生教育创新项目

719711902022040510020182022YJ111SYYJSYC-2292

2024

系统科学与数学
中国科学院数学与系统科学研究院

系统科学与数学

CSTPCD北大核心
影响因子:0.425
ISSN:1000-0577
年,卷(期):2024.44(7)
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