考虑权重信息未知的区间直觉模糊三支群决策方法

doi:10.12005/orms.2022.0215

运筹与管理 ›› 2022, Vol. 31 ›› Issue (7): 50-57.DOI: 10.12005/orms.2022.0215

考虑权重信息未知的区间直觉模糊三支群决策方法

刘久兵¹, 彭莉莎², 李华雄², 黄兵³, 周献中²

1. 汕头大学商学院,广东汕头 515063;
2. 南京大学工程管理学院,江苏南京 210093;
3. 南京审计大学信息工程学院,江苏南京 211815

收稿日期:2020-03-17 出版日期:2022-07-25 发布日期:2022-08-17
通讯作者: 刘久兵(1988-),男,江西瑞金人,博士,讲师,硕士生导师,研究方向:智能决策,运筹优化,粒计算和个性化推荐。
作者简介:刘久兵(1988-)，男，江西瑞金人，博士，讲师，硕士生导师，研究方向：智能决策，运筹优化，粒计算和个性化推荐。
基金资助:
国家自然科学基金资助项目(62106135,71671086,61876079);广东省基础与应用基础研究项目(2020A1515110434);广东省哲学社会科学“十三五”规划青年项目(GD20YGL13);广东省普通高校青年创新人才项目(2019WQNCX027);汕头大学科研启动经费项目(STF19025);江苏省高校自然科学研究重大项目(20KJA520006)

Interval-valued Intuitionistic Fuzzy Three-Way Group Decisions Considering The Unknown Weight Information

LIU Jiu-bing¹, PENG Li-sha², LI Hua-xiong², HUANG Bing³, ZHOU Xian-zhong²

1. Business School, Shantou University, Shantou 515063, China;
2. School of Management and Engineering, Nanjing University, Nanjing 210093, China;
3. School of Information Engineering, Nanjing Audit University, Nanjing 211815, China

Received:2020-03-17 Online:2022-07-25 Published:2022-08-17

摘要/Abstract

摘要： 本文提出优化视角下专家权重信息未知的区间直觉模糊三支群决策方法。首先利用区间直觉模糊加权平均算子集结不同专家提供的区间直觉模糊损失评价,获得群体综合损失评价结果。以专家个体与群体综合评价相似度越髙,越能反映群体综合评价意见且赋予髙的专家权重为原则,分别构建专家权重信息完全未知和部分已知的权重确定模型。进而建立确定区间直觉模糊三支决策概率阈值对的优化模型,并提出基于专家权重信息未知的区间直觉模糊三支群决策方法。最后,算例分析及比较结果表明所提出方法的有效性。

关键词: 区间直觉模糊集, 集结算子, 优化模型, 三支群决策

Abstract: This paper proposes an approach to interval-valued intuitionistic fuzzy three-way group decisions (IVIF3WGDs) under unknown weights of experts from an optimization perspective. We firstut ilize an interval-valued intuitionistic fuzzy linear weight average (IVIFLWA) operator to aggregate interval-valued intuitionistic fuzzy loss evaluations provided by multiple experts, which leads to collective loss evaluation results on an expert group. According to this principle, a larger similarity of expert individual to group better reflects a collective opinion of the group, and we should assign a higher weight of the individual expert. Corresponding mathematical models for determining the weights are further established in two cases of completely and partly unknown weight information. We further construct a pair of optimization models to determine the thresholds in IVIF3WGDs, and develop an IVIF3WGD approach based on unknown weights of experts. Finally, an illustrative example and its comparisons show the effectiveness of the proposed method.

Key words: interval-valued intuitionistic fuzzy sets, aggregation operators, optimization models, three-way group decisions

中图分类号:

C934

刘久兵, 彭莉莎, 李华雄, 黄兵, 周献中. 考虑权重信息未知的区间直觉模糊三支群决策方法[J]. 运筹与管理, 2022, 31(7): 50-57.

LIU Jiu-bing, PENG Li-sha, LI Hua-xiong, HUANG Bing, ZHOU Xian-zhong. Interval-valued Intuitionistic Fuzzy Three-Way Group Decisions Considering The Unknown Weight Information[J]. Operations Research and Management Science, 2022, 31(7): 50-57.

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考虑权重信息未知的区间直觉模糊三支群决策方法

Interval-valued Intuitionistic Fuzzy Three-Way Group Decisions Considering The Unknown Weight Information

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