南京大学学报(自然科学版) ›› 2020, Vol. 56 ›› Issue (4): 452–460.doi: 10.13232/j.cnki.jnju.2020.04.003

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有限理性下多粒度q⁃RO模糊粗糙集的最优粒度选择及其在并购对象选择中的应用

任睿1,张超2,3(),庞继芳3   

  1. 1.山西转型综改示范区成果转化有限公司，太原，030032
    2.计算智能与中文信息处理教育部重点实验室（山西大学），太原，030006
    3.山西大学计算机与信息技术学院，太原，030006
  • 收稿日期:2020-06-20 出版日期:2020-07-30 发布日期:2020-08-06
  • 通讯作者: 张超 E-mail:czhang@sxu.edu.cn
  • 基金资助:
    国家自然科学基金(61806116);山西省重点研发计划（国际科技合作）(201903D421041);山西省高等学校青年科研人员培育计划，山西省留学人员科技活动择优资助项目，山西省高等学校优秀成果培育项目(2019SK036);山西省自然科学基金(201801D221175);山西省高等学校科技创新项目(201802014);山西省研究生创新项目(2019SY005)

Optimal granularity selections of multigranulation q⁃RO fuzzy rough sets under bounded rationality and their applications in merger and acquisition target selections

Rui Ren1,Chao Zhang2,3(),Jifang Pang3   

  1. 1.Achievement Transformation Co. ，Ltd. ，Shanxi Transformation and Comprehensive Reform Demonstration Zone，Taiyuan，030032，China
    2.Key Laboratory of Computational Intelligence and Chinese Information Processing of Ministry of Education（Shanxi University），Taiyuan，030006，China
    3.School of Computer and Information Technology，Shanxi University，Taiyuan，030006，China
  • Received:2020-06-20 Online:2020-07-30 Published:2020-08-06
  • Contact: Chao Zhang E-mail:czhang@sxu.edu.cn

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摘要：

有限理性通常指决策者困顿于信息处理能力有限的自然状态，该状态是决策者在实际决策情境中需要面对的常态，因而有必要研究有限理性下的决策问题．多粒度粗糙集在多属性群决策分析领域的优势在于运算效率高，并能结合决策风险，然而多数基于多粒度粗糙集的多属性群决策方法并未考虑有限理性这一实际情境．以q?RO(q?Rung Orthopair)模糊集为背景，首先提出乐观与悲观多粒度q?RO模糊粗糙集模型；接着在并购对象选择的背景下，依据交互式多属性决策(Portuguese of Interactive and Multi?criteria Decision Making，TODIM)法来处理有限理性下的决策信息，发展多粒度q?RO模糊粗糙集的最优粒度选择机制并建立相应的多属性群决策方法；最后结合并购对象选择的实际算例验证了所建立模型与方法的有效性．

关键词: 有限理性, 多粒度粗糙集, 多属性群决策, q?RO模糊集, TODIM, 并购对象选择

Abstract:

Bounded rationality usually refers to a natural state that decision makers are limited to finite information processing abilities，and it is normal for them to face bounded rationality in practical decision making scenarios. Thus，studying corresponding decision making problems under bounded rationality is imperative. Multigranulation rough sets (MGRS) own two merits in the field of multi?attribute group decision making (MAGDM)，i.e.，high computational efficiencies and integrating decision risks. However，most MGRS?based MAGDM methods fail to consider the context of bounded rationality. This paper takes q?RO (q?rung orthopair) fuzzy sets as the background and the concept of optimistic and pessimistic multigranulation q?RO fuzzy rough sets is put forward at first. Then，under the context of merger and acquisition target selections，the TODIM(Portuguese of Interactive and Multi?criteria Decision Making) method is utilized to process decision making information under bounded rationality，and optimal granularity selection schemes of multigranulation q?RO fuzzy rough sets along with corresponding MAGDM methods are further developed. At last，a real?life case study for merger and acquisition target selections is investigated to reveal the validity of the constructed models and methods.

Key words: bounded rationality, multigranulation rough sets, multi?attribute group decision making, q?RO fuzzy sets, TODIM, merger and acquisition target selections

中图分类号: 

  • TP391
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