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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Main Authors: Qiwen Wang, Guibao Song, Xiuxia Yang
Format: Article
Language:English
Published: AIMS Press 2023-12-01
Series:Mathematical Biosciences and Engineering
Subjects:
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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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
work_keys_str_mv AT qiwenwang mixedattitudethreewaydecisionmodelforaerialtargetsthreatassessmentbasedonifvikorgramethod
AT guibaosong mixedattitudethreewaydecisionmodelforaerialtargetsthreatassessmentbasedonifvikorgramethod
AT xiuxiayang mixedattitudethreewaydecisionmodelforaerialtargetsthreatassessmentbasedonifvikorgramethod