Enhanced picture fuzzy and centrality based EDAS-BW approach and its application in healthcare

Picture fuzzy set (PFS) is the generalization of intuitionistic fuzzy set (IFS) that allows the inclusion of a neutral degree along with the membership and non-membership degrees, which more effectively facilitates the expression of a range of human responses, encompassing affirmation, neutrality, n...

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Main Authors: Aicevarya Devi S, Felix Augustin
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:Results in Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S259012302501343X
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author Aicevarya Devi S
Felix Augustin
author_facet Aicevarya Devi S
Felix Augustin
author_sort Aicevarya Devi S
collection DOAJ
description Picture fuzzy set (PFS) is the generalization of intuitionistic fuzzy set (IFS) that allows the inclusion of a neutral degree along with the membership and non-membership degrees, which more effectively facilitates the expression of a range of human responses, encompassing affirmation, neutrality, negation and rejection. The challenges arise when the level of rejection is high. To overcome this hurdle, the concept of picture fuzzy set-triple parameters (PFS-TP) with the condition ζ⁎(x)+φ⁎(x)+ϖ⁎(x)=1 is introduced in this study by eliminating the refusal degree. To demonstrate the practicality of PFS-TP, a picture fuzzy decision-making model is designed by using evaluation based on distance from average solution (EDAS), Dempster-Shafer theory (DST) and the best-worst method (BWM). Moreover, the aggregation operator, score and accuracy functions are defined for PFS-TP to support the model. The EDAS and BWM methods are utilized to rank the alternatives and weight the criteria, DST helps to aggregate the ambiguous information. A digraph is constructed to identify influential alternatives using degree centrality. The model is applied to select the most effective COVID-19 diagnostic kit and prioritized RT-PCR as the effective kit. The obtained outcomes are corroborated through sensitivity and comparative analyses.
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spelling doaj-art-a4d08ea08377449bb17454ab622084312025-08-20T03:13:03ZengElsevierResults in Engineering2590-12302025-06-012610527310.1016/j.rineng.2025.105273Enhanced picture fuzzy and centrality based EDAS-BW approach and its application in healthcareAicevarya Devi S0Felix Augustin1Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai, Tamil Nadu, 600127, IndiaCorresponding author.; Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai, Tamil Nadu, 600127, IndiaPicture fuzzy set (PFS) is the generalization of intuitionistic fuzzy set (IFS) that allows the inclusion of a neutral degree along with the membership and non-membership degrees, which more effectively facilitates the expression of a range of human responses, encompassing affirmation, neutrality, negation and rejection. The challenges arise when the level of rejection is high. To overcome this hurdle, the concept of picture fuzzy set-triple parameters (PFS-TP) with the condition ζ⁎(x)+φ⁎(x)+ϖ⁎(x)=1 is introduced in this study by eliminating the refusal degree. To demonstrate the practicality of PFS-TP, a picture fuzzy decision-making model is designed by using evaluation based on distance from average solution (EDAS), Dempster-Shafer theory (DST) and the best-worst method (BWM). Moreover, the aggregation operator, score and accuracy functions are defined for PFS-TP to support the model. The EDAS and BWM methods are utilized to rank the alternatives and weight the criteria, DST helps to aggregate the ambiguous information. A digraph is constructed to identify influential alternatives using degree centrality. The model is applied to select the most effective COVID-19 diagnostic kit and prioritized RT-PCR as the effective kit. The obtained outcomes are corroborated through sensitivity and comparative analyses.http://www.sciencedirect.com/science/article/pii/S259012302501343XPicture fuzzy set-triple parametersDempster-Shafer theoryEDASBWMDegree centralityCOVID testing kits
spellingShingle Aicevarya Devi S
Felix Augustin
Enhanced picture fuzzy and centrality based EDAS-BW approach and its application in healthcare
Results in Engineering
Picture fuzzy set-triple parameters
Dempster-Shafer theory
EDAS
BWM
Degree centrality
COVID testing kits
title Enhanced picture fuzzy and centrality based EDAS-BW approach and its application in healthcare
title_full Enhanced picture fuzzy and centrality based EDAS-BW approach and its application in healthcare
title_fullStr Enhanced picture fuzzy and centrality based EDAS-BW approach and its application in healthcare
title_full_unstemmed Enhanced picture fuzzy and centrality based EDAS-BW approach and its application in healthcare
title_short Enhanced picture fuzzy and centrality based EDAS-BW approach and its application in healthcare
title_sort enhanced picture fuzzy and centrality based edas bw approach and its application in healthcare
topic Picture fuzzy set-triple parameters
Dempster-Shafer theory
EDAS
BWM
Degree centrality
COVID testing kits
url http://www.sciencedirect.com/science/article/pii/S259012302501343X
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AT felixaugustin enhancedpicturefuzzyandcentralitybasededasbwapproachanditsapplicationinhealthcare