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  

A Minimum Adjustment Binary Categorical Large Group Consensus Decision Making Approach from a Probabilistic Linguistic Distribution Perspective

作　　者：李胜利 舒婷 魏翠萍[3] 曲国华[4] LI Shengli;SHU Ting;WEI Cuiping;QU Guohua(School of Mathematics and Statistics,Taiyuan Normal University,Jinzhong 030619;Shanxi Key Laboratory for Intelligent Optimization Computing and Blockchain Technology,Taiyuan Normal University,Jinzhong 030619;School of Mathematical Sciences,Yangzhou University,Yangzhou 225002;School of Management Science&Engineering,Shanxi University of Finance and Economics,Taiyuan 030006)

机构地区：[1]太原师范学院数学与统计学院,晋中030619 [2]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 [3]扬州大学数学科学学院,扬州225002 [4]山西财经大学管理科学与工程学院,太原030006

出　　处：《系统科学与数学》2024年第7期2045-2059,共15页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(71971190);山西省科技创新人才团队专项资助(202204051002018);山西省哲学社会科学规划课题(2022YJ111);太原师范学院研究生教育创新项目(SYYJSYC-2292)资助课题。

摘　　要：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.Aiming at the problem of large group decision-making considering the actual 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 probability 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.

关 键 词：概率分布 优势度 二分类 最小调整 群体共识 

分 类 号：O225[理学—运筹学与控制论]