A new method for ranking q-rung ortho-pair fuzzy numbers and application.

The effectiveness of the q-rung ortho-pair fuzzy multi-attribute decision-making method is primarily influenced by the q-rung ortho-pair fuzzy number ranking method. This paper conducts an in-depth analysis of the shortcomings of eight existing q-rung ortho-pair fuzzy number ranking methods. A refin...

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Main Authors: Mengchuan Zhao, Yi Xiang, Yan Yang, K E Deng
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2025-01-01
Series:PLoS ONE
Online Access:https://doi.org/10.1371/journal.pone.0327395
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author Mengchuan Zhao
Yi Xiang
Yan Yang
K E Deng
author_facet Mengchuan Zhao
Yi Xiang
Yan Yang
K E Deng
author_sort Mengchuan Zhao
collection DOAJ
description The effectiveness of the q-rung ortho-pair fuzzy multi-attribute decision-making method is primarily influenced by the q-rung ortho-pair fuzzy number ranking method. This paper conducts an in-depth analysis of the shortcomings of eight existing q-rung ortho-pair fuzzy number ranking methods. A refined approach to ranking q-rung ortho-pair fuzzy numbers is proposed, wherein the method synthesizes the effects of the q-power transformation applied to both membership and non-membership degrees, alongside an exponential adjustment component. This formulation ensures greater discrimination power and robustness in uncertain environments. This method addresses the issues of poor robustness and the inability to achieve a complete ranking in existing approaches. Finally, the proposed ranking approach is incorporated into a q-rung orthopair fuzzy multi-attribute decision-making framework and is subsequently employed to address a practical case involving the selection of an optimal warehouse location for an e-commerce enterprise.
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publishDate 2025-01-01
publisher Public Library of Science (PLoS)
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spelling doaj-art-a8c3c5f3e7c547b88cb8f5eac76a2bcb2025-08-20T03:13:30ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01207e032739510.1371/journal.pone.0327395A new method for ranking q-rung ortho-pair fuzzy numbers and application.Mengchuan ZhaoYi XiangYan YangK E DengThe effectiveness of the q-rung ortho-pair fuzzy multi-attribute decision-making method is primarily influenced by the q-rung ortho-pair fuzzy number ranking method. This paper conducts an in-depth analysis of the shortcomings of eight existing q-rung ortho-pair fuzzy number ranking methods. A refined approach to ranking q-rung ortho-pair fuzzy numbers is proposed, wherein the method synthesizes the effects of the q-power transformation applied to both membership and non-membership degrees, alongside an exponential adjustment component. This formulation ensures greater discrimination power and robustness in uncertain environments. This method addresses the issues of poor robustness and the inability to achieve a complete ranking in existing approaches. Finally, the proposed ranking approach is incorporated into a q-rung orthopair fuzzy multi-attribute decision-making framework and is subsequently employed to address a practical case involving the selection of an optimal warehouse location for an e-commerce enterprise.https://doi.org/10.1371/journal.pone.0327395
spellingShingle Mengchuan Zhao
Yi Xiang
Yan Yang
K E Deng
A new method for ranking q-rung ortho-pair fuzzy numbers and application.
PLoS ONE
title A new method for ranking q-rung ortho-pair fuzzy numbers and application.
title_full A new method for ranking q-rung ortho-pair fuzzy numbers and application.
title_fullStr A new method for ranking q-rung ortho-pair fuzzy numbers and application.
title_full_unstemmed A new method for ranking q-rung ortho-pair fuzzy numbers and application.
title_short A new method for ranking q-rung ortho-pair fuzzy numbers and application.
title_sort new method for ranking q rung ortho pair fuzzy numbers and application
url https://doi.org/10.1371/journal.pone.0327395
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