Staff View: Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision

Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision

This paper introduces a novel distance measure for dual hesitant fuzzy sets (DHFS) and weighted dual hesitant fuzzy sets (WDHFS), with a rigorous proof of the triangular inequality to ensure its mathematical validity. The proposed measure extends the normalized Hamming, generalized, and Euclidean di...

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Main Authors:	Boulaaras S., Mostafa G.E., Jan R., Mekawy I.
Other Authors:	36994353700
Format:	Article
Published:	Nature Research 2025
Subjects:	article decision making diagnosis fuzzy logic human validity
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id	my.uniten.dspace-36121
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spelling	my.uniten.dspace-361212025-03-03T15:41:24Z Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision Boulaaras S. Mostafa G.E. Jan R. Mekawy I. 36994353700 57197163685 57205596279 57222488593 article decision making diagnosis fuzzy logic human validity This paper introduces a novel distance measure for dual hesitant fuzzy sets (DHFS) and weighted dual hesitant fuzzy sets (WDHFS), with a rigorous proof of the triangular inequality to ensure its mathematical validity. The proposed measure extends the normalized Hamming, generalized, and Euclidean distance measures to dual hesitant fuzzy elements (DHFE), offering a broader framework for handling uncertainty in fuzzy environments. Additionally, the utilization of a score function is shown to simplify the computation of these distance measures. The practical relevance of the proposed measure is demonstrated through its application in medical diagnosis and decision-making processes. A comparative analysis between the newly introduced distance measure denoted as ?, and an existing measure, ?1 is performed to underscore the superiority and potential advantages of the new approach in real-world scenarios. ? The Author(s) 2024. Final 2025-03-03T07:41:24Z 2025-03-03T07:41:24Z 2024 Article 10.1038/s41598-024-75687-5 2-s2.0-85208291878 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85208291878&doi=10.1038%2fs41598-024-75687-5&partnerID=40&md5=e96ad915bc7222b7610cbb5a981f3516 https://irepository.uniten.edu.my/handle/123456789/36121 14 1 26214 All Open Access; Gold Open Access Nature Research Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Tenaga Nasional
content_source	UNITEN Institutional Repository
url_provider	http://dspace.uniten.edu.my/
topic	article decision making diagnosis fuzzy logic human validity
spellingShingle	article decision making diagnosis fuzzy logic human validity Boulaaras S. Mostafa G.E. Jan R. Mekawy I. Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision
description	This paper introduces a novel distance measure for dual hesitant fuzzy sets (DHFS) and weighted dual hesitant fuzzy sets (WDHFS), with a rigorous proof of the triangular inequality to ensure its mathematical validity. The proposed measure extends the normalized Hamming, generalized, and Euclidean distance measures to dual hesitant fuzzy elements (DHFE), offering a broader framework for handling uncertainty in fuzzy environments. Additionally, the utilization of a score function is shown to simplify the computation of these distance measures. The practical relevance of the proposed measure is demonstrated through its application in medical diagnosis and decision-making processes. A comparative analysis between the newly introduced distance measure denoted as ?, and an existing measure, ?1 is performed to underscore the superiority and potential advantages of the new approach in real-world scenarios. ? The Author(s) 2024.
author2	36994353700
author_facet	36994353700 Boulaaras S. Mostafa G.E. Jan R. Mekawy I.
format	Article
author	Boulaaras S. Mostafa G.E. Jan R. Mekawy I.
author_sort	Boulaaras S.
title	Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision
title_short	Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision
title_full	Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision
title_fullStr	Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision
title_full_unstemmed	Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision
title_sort	applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision
publisher	Nature Research
publishDate	2025
_version_	1825816096907722752
score	13.244413

Applications of distance measure between dual hesitant fuzzy sets in medical diagnosis and weighted dual hesitant fuzzy sets in making decision

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