有限理性下基于多粒度概率粗糙集的三支球型模糊多属性群决策  

Three-way Spherical Fuzzy Multi-attribute Group Decision-making Based on Multigranulation Probabilistic Rough Sets under Bounded Rationality

作　　者：张晶晶 张超[1,2] 陈炜哲 李德玉 庞继芳[1,2] 王彦婕[3] ZHANG Jing-jing;ZHANG Chao;CHEN Wei-zhe;LI De-yu;PANG Ji-fang;WANG Yan-jie(School of Computer and Information Technology,Shanxi University,Taiyuan 030006,China;Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education(Shanxi University),Taiyuan 030006,China;Shanxi Information Industry Technology Research Institute Co.,Ltd.,Taiyuan 030012,China)

机构地区：[1]山西大学计算机与信息技术学院,山西太原原030006 [2]山西大学计算智能与中文信息处理教育部重点实验室,山西太原030006 [3]山西省信息产业技术研究院有限公司,山西太原030012

出　　处：《模糊系统与数学》2022年第6期12-25,共14页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(62272284,62072294,62006148,61972238);山西省科技创新人才团队专项;信息技术应用创新省技术创新中心(202104010911033);山西省数字经济发展研究(202104031402023);2022年度山西省研究生教育创新项目(2022Y147);山西省高等学校青年科研人员培育计划项目;山西省高等学校优秀成果培育项目(2019SK036);山西省筹资金资助回国留学人员科研项目(2022-007)。

摘　　要：本文为应对多粒度概率粗糙集在信息融合方面的局限性以及决策者固有的有限理性,在三支决策的框架下,结合可调多粒度球型模糊概率粗糙集和前景理论,提出了面向多属性群决策问题的多粒度球型模糊三支群决策模型和方法。首先,本文结合球型模糊集和多粒度粗糙集,建立了可调多粒度球型模糊概率粗糙集模型。然后,本文在三支决策的框架下,依据前景理论对三支决策中的阈值进行集成,建立了多粒度球型模糊三支多属性群决策方法。最后,通过空气质量评估的实例验证了本文所提出的模型和方法的可行性与有效性。In order to deal with the limitations of multigranulation probabilistic rough sets in information fusion and the inherent bounded rationality of decision-makers, under the framework of three-way decisions, by combining adjustable multigranulation spherical fuzzy probabilistic rough sets with the prospect theory, multi-granularity spherical fuzzy three-way group decision-making models and methods are put forward for solving multi-attribute group decision-making problems. First, this paper combines spherical fuzzy sets with multigranulation rough sets to establish an adjustable multigranulation spherical fuzzy probabilistic rough set model. Then, under the framework of three-way decisions, this paper integrates the thresholds in three-way decisions by virtue of the prospect theory, and constructs a multi-granularity spherical fuzzy three-way multi-attribute group decision-making method. Finally, the feasibility and effectiveness of the presented model and method are verified by a realistic case of air quality evaluations.

关 键 词：多粒度 多属性群决策 球型模糊集 三支决策 前景理论 

分 类 号：C934[经济管理—管理学]