Hierarchical Modeling and Analysis of an International Conflict Based on Hesitant Fuzzy Linguistic Term Sets

In this article, to address the uncertainty of preference information in interrelated conflicts in the real world, a hierarchical conflict modeling and analysis approach based on hesitant fuzzy linguistic term sets (HFLTSs) is proposed. First, considering the hesitancy and fuzziness of decision make...

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Main Authors: Junji Hao, Bingfeng Ge, Yuming Huang, Zeqiang Hou, Tianjiao Yang, Wanying Wei
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Systems
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Online Access:https://www.mdpi.com/2079-8954/13/7/557
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author Junji Hao
Bingfeng Ge
Yuming Huang
Zeqiang Hou
Tianjiao Yang
Wanying Wei
author_facet Junji Hao
Bingfeng Ge
Yuming Huang
Zeqiang Hou
Tianjiao Yang
Wanying Wei
author_sort Junji Hao
collection DOAJ
description In this article, to address the uncertainty of preference information in interrelated conflicts in the real world, a hierarchical conflict modeling and analysis approach based on hesitant fuzzy linguistic term sets (HFLTSs) is proposed. First, considering the hesitancy and fuzziness of decision makers (DMs) when expressing preferences in hierarchical conflicts, a preference representation approach based on HFLTSs is introduced. Building upon hesitant fuzzy linguistic preference, four distinct types of hesitant fuzzy stability definitions of the two-level hierarchical graph model for conflict resolution (HGMCR) are extended, and a corresponding algorithm is developed to solve the global conflict hesitant fuzzy equilibrium states. Finally, this study is applied to investigate the outbreak and development of a specific international conflict, verifying the feasibility and effectiveness of the proposed approach. The hesitant fuzzy equilibrium states of an international conflict indicate that the attitudes of domestic forces reflect a nation’s performance in the warand that the conflict may endure for an extended duration. The hierarchical conflict modeling and analysis approach based on HFLTSs allows DMs to express the hesitation and fuzziness of preferences under uncertainty, facilitates the comprehension of the intrinsic logic behind interactions among DMs at various levels, and enhances the analysis to achieve more foresighted equilibria.
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spelling doaj-art-cef6367814354d388b4ca3b2e1e606802025-08-20T03:56:46ZengMDPI AGSystems2079-89542025-07-0113755710.3390/systems13070557Hierarchical Modeling and Analysis of an International Conflict Based on Hesitant Fuzzy Linguistic Term SetsJunji Hao0Bingfeng Ge1Yuming Huang2Zeqiang Hou3Tianjiao Yang4Wanying Wei5College of Systems Engineering, National University of Defense Technology, Changsha 410073, ChinaCollege of Systems Engineering, National University of Defense Technology, Changsha 410073, ChinaCollege of Systems Engineering, National University of Defense Technology, Changsha 410073, ChinaCollege of Systems Engineering, National University of Defense Technology, Changsha 410073, ChinaCollege of Systems Engineering, National University of Defense Technology, Changsha 410073, ChinaCollege of Systems Engineering, National University of Defense Technology, Changsha 410073, ChinaIn this article, to address the uncertainty of preference information in interrelated conflicts in the real world, a hierarchical conflict modeling and analysis approach based on hesitant fuzzy linguistic term sets (HFLTSs) is proposed. First, considering the hesitancy and fuzziness of decision makers (DMs) when expressing preferences in hierarchical conflicts, a preference representation approach based on HFLTSs is introduced. Building upon hesitant fuzzy linguistic preference, four distinct types of hesitant fuzzy stability definitions of the two-level hierarchical graph model for conflict resolution (HGMCR) are extended, and a corresponding algorithm is developed to solve the global conflict hesitant fuzzy equilibrium states. Finally, this study is applied to investigate the outbreak and development of a specific international conflict, verifying the feasibility and effectiveness of the proposed approach. The hesitant fuzzy equilibrium states of an international conflict indicate that the attitudes of domestic forces reflect a nation’s performance in the warand that the conflict may endure for an extended duration. The hierarchical conflict modeling and analysis approach based on HFLTSs allows DMs to express the hesitation and fuzziness of preferences under uncertainty, facilitates the comprehension of the intrinsic logic behind interactions among DMs at various levels, and enhances the analysis to achieve more foresighted equilibria.https://www.mdpi.com/2079-8954/13/7/557hierarchical graph modelconflict resolutionhesitant fuzzy linguistic preferenceinternational conflicts
spellingShingle Junji Hao
Bingfeng Ge
Yuming Huang
Zeqiang Hou
Tianjiao Yang
Wanying Wei
Hierarchical Modeling and Analysis of an International Conflict Based on Hesitant Fuzzy Linguistic Term Sets
Systems
hierarchical graph model
conflict resolution
hesitant fuzzy linguistic preference
international conflicts
title Hierarchical Modeling and Analysis of an International Conflict Based on Hesitant Fuzzy Linguistic Term Sets
title_full Hierarchical Modeling and Analysis of an International Conflict Based on Hesitant Fuzzy Linguistic Term Sets
title_fullStr Hierarchical Modeling and Analysis of an International Conflict Based on Hesitant Fuzzy Linguistic Term Sets
title_full_unstemmed Hierarchical Modeling and Analysis of an International Conflict Based on Hesitant Fuzzy Linguistic Term Sets
title_short Hierarchical Modeling and Analysis of an International Conflict Based on Hesitant Fuzzy Linguistic Term Sets
title_sort hierarchical modeling and analysis of an international conflict based on hesitant fuzzy linguistic term sets
topic hierarchical graph model
conflict resolution
hesitant fuzzy linguistic preference
international conflicts
url https://www.mdpi.com/2079-8954/13/7/557
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