Interval-valued picture fuzzy decision-making framework with partitioned maclaurin symmetric mean aggregation operators.

IF 3.8 2区 综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES Scientific Reports Pub Date : 2024-10-05 DOI:10.1038/s41598-024-72726-z
Muhammad Azeem, Jawad Ali, Jawad Ali, Muhammad I Syam
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Abstract

Interval-valued picture fuzzy (IVPF) set is an extension of the picture fuzzy set theory used to represent uncertainty and vagueness in the processes of decision-making. This study focuses on exploring the interrelationships among multiple IVPFSs and criteria partitions. We investigate the IVPF partitioned Maclaurin symmetric mean operator and the weighted IVPF partitioned Maclaurin symmetric mean operator and discuss their respective properties. Subsequently, we identify certain special cases of these operators based on IVPF sets. Furthermore, we deploy a multi-criteria decision-making procedure utilizing the suggested IVPF partition operators. Through a numerical example, we demonstrate the practicality and validity of the presented approach. Finally, a thorough comparison with existing approaches is conducted to elucidate the superiority of the proposed method.

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带分区马克劳林对称均值聚合算子的区间值图片模糊决策框架。
区间值图象模糊(IVPF)集是图象模糊集理论的扩展,用于表示决策过程中的不确定性和模糊性。本研究的重点是探索多个 IVPFS 和标准分区之间的相互关系。我们研究了 IVPF 分区 Maclaurin 对称均值算子和加权 IVPF 分区 Maclaurin 对称均值算子,并讨论了它们各自的特性。随后,我们基于 IVPF 集确定了这些算子的某些特例。此外,我们还利用建议的 IVPF 分区算子部署了一个多标准决策程序。通过一个数值实例,我们证明了所提出方法的实用性和有效性。最后,我们与现有方法进行了全面比较,以阐明所建议方法的优越性。
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来源期刊
Scientific Reports
Scientific Reports Natural Science Disciplines-
CiteScore
7.50
自引率
4.30%
发文量
19567
审稿时长
3.9 months
期刊介绍: We publish original research from all areas of the natural sciences, psychology, medicine and engineering. You can learn more about what we publish by browsing our specific scientific subject areas below or explore Scientific Reports by browsing all articles and collections. Scientific Reports has a 2-year impact factor: 4.380 (2021), and is the 6th most-cited journal in the world, with more than 540,000 citations in 2020 (Clarivate Analytics, 2021). •Engineering Engineering covers all aspects of engineering, technology, and applied science. It plays a crucial role in the development of technologies to address some of the world''s biggest challenges, helping to save lives and improve the way we live. •Physical sciences Physical sciences are those academic disciplines that aim to uncover the underlying laws of nature — often written in the language of mathematics. It is a collective term for areas of study including astronomy, chemistry, materials science and physics. •Earth and environmental sciences Earth and environmental sciences cover all aspects of Earth and planetary science and broadly encompass solid Earth processes, surface and atmospheric dynamics, Earth system history, climate and climate change, marine and freshwater systems, and ecology. It also considers the interactions between humans and these systems. •Biological sciences Biological sciences encompass all the divisions of natural sciences examining various aspects of vital processes. The concept includes anatomy, physiology, cell biology, biochemistry and biophysics, and covers all organisms from microorganisms, animals to plants. •Health sciences The health sciences study health, disease and healthcare. This field of study aims to develop knowledge, interventions and technology for use in healthcare to improve the treatment of patients.
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