Mixed-attitude three-way decision model for aerial targets: Threat assessment based on IF-VIKOR-GRA method
Assessing potential threats typically necessitates the use of a robust mathematical model, a comprehensive evaluation method and universal decision rules. A novel approach is utilized in this study to optimize existing threat assessment (TA) algorithms and three-way decision models (3WDMs) are lever...
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Format: | Article |
Language: | English |
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AIMS Press
2023-12-01
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Series: | Mathematical Biosciences and Engineering |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023952?viewType=HTML |
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author | Qiwen Wang Guibao Song Xiuxia Yang |
author_facet | Qiwen Wang Guibao Song Xiuxia Yang |
author_sort | Qiwen Wang |
collection | DOAJ |
description | Assessing potential threats typically necessitates the use of a robust mathematical model, a comprehensive evaluation method and universal decision rules. A novel approach is utilized in this study to optimize existing threat assessment (TA) algorithms and three-way decision models (3WDMs) are leveraged that incorporate decision-theoretic rough sets (DTRSs) within dynamic intuitionistic fuzzy (IF) environments to create a mixed-attitude 3WDM based on the IF-VIKOR-GRA method in the context of aviation warfare. The primary objectives of this study include determining conditional probabilities for IF three-way decisions (3WDs) and establishing mixed-attitude decision thresholds. Both the target attribute and loss function are expressed in the form of intuitionistic fuzzy numbers (IFNs). To calculate these conditional probabilities, an IF technique is used to combine the multi-attribute decision-making (MADM) method VIKOR and the grey relational analysis (GRA) method, while also taking into account the risk-related preferences of decision-makers (DMs). Optimistic and pessimistic 3WDMs are developed from the perspectives of membership degree and non-membership degree, then subsequently integrated into the comprehensive mixed-attitude 3WDM. The feasibility and effectiveness of this methodology are demonstrated through a numerical example and by comparison to other existing approaches. |
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format | Article |
id | doaj.art-d0ff0d675f8a431cb05b91ee58497353 |
institution | Directory Open Access Journal |
issn | 1551-0018 |
language | English |
last_indexed | 2024-03-08T13:22:01Z |
publishDate | 2023-12-01 |
publisher | AIMS Press |
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series | Mathematical Biosciences and Engineering |
spelling | doaj.art-d0ff0d675f8a431cb05b91ee584973532024-01-18T01:40:01ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-12-012012215142153610.3934/mbe.2023952Mixed-attitude three-way decision model for aerial targets: Threat assessment based on IF-VIKOR-GRA methodQiwen Wang0Guibao Song1Xiuxia Yang2Naval Aviation University, Yantai 264001, ChinaNaval Aviation University, Yantai 264001, ChinaNaval Aviation University, Yantai 264001, ChinaAssessing potential threats typically necessitates the use of a robust mathematical model, a comprehensive evaluation method and universal decision rules. A novel approach is utilized in this study to optimize existing threat assessment (TA) algorithms and three-way decision models (3WDMs) are leveraged that incorporate decision-theoretic rough sets (DTRSs) within dynamic intuitionistic fuzzy (IF) environments to create a mixed-attitude 3WDM based on the IF-VIKOR-GRA method in the context of aviation warfare. The primary objectives of this study include determining conditional probabilities for IF three-way decisions (3WDs) and establishing mixed-attitude decision thresholds. Both the target attribute and loss function are expressed in the form of intuitionistic fuzzy numbers (IFNs). To calculate these conditional probabilities, an IF technique is used to combine the multi-attribute decision-making (MADM) method VIKOR and the grey relational analysis (GRA) method, while also taking into account the risk-related preferences of decision-makers (DMs). Optimistic and pessimistic 3WDMs are developed from the perspectives of membership degree and non-membership degree, then subsequently integrated into the comprehensive mixed-attitude 3WDM. The feasibility and effectiveness of this methodology are demonstrated through a numerical example and by comparison to other existing approaches.https://www.aimspress.com/article/doi/10.3934/mbe.2023952?viewType=HTMLthreat assessment (ta)intuitionistic fuzzy numbersvikorgraoptimistic three-way decisionspessimistic three-way decisions |
spellingShingle | Qiwen Wang Guibao Song Xiuxia Yang Mixed-attitude three-way decision model for aerial targets: Threat assessment based on IF-VIKOR-GRA method Mathematical Biosciences and Engineering threat assessment (ta) intuitionistic fuzzy numbers vikor gra optimistic three-way decisions pessimistic three-way decisions |
title | Mixed-attitude three-way decision model for aerial targets: Threat assessment based on IF-VIKOR-GRA method |
title_full | Mixed-attitude three-way decision model for aerial targets: Threat assessment based on IF-VIKOR-GRA method |
title_fullStr | Mixed-attitude three-way decision model for aerial targets: Threat assessment based on IF-VIKOR-GRA method |
title_full_unstemmed | Mixed-attitude three-way decision model for aerial targets: Threat assessment based on IF-VIKOR-GRA method |
title_short | Mixed-attitude three-way decision model for aerial targets: Threat assessment based on IF-VIKOR-GRA method |
title_sort | mixed attitude three way decision model for aerial targets threat assessment based on if vikor gra method |
topic | threat assessment (ta) intuitionistic fuzzy numbers vikor gra optimistic three-way decisions pessimistic three-way decisions |
url | https://www.aimspress.com/article/doi/10.3934/mbe.2023952?viewType=HTML |
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