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

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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Publication Details

Journal
Scientific Reports
Published
2024-10-05
DOI
https://doi.org/10.1038/s41598-024-72726-z
Citations
6
Primary Topic
Multi-Criteria Decision Making
Type
article
Field-Weighted Citation Impact
2.94
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article

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

Jawad Ali, Muhammed I. Syam, Muhammad Masood Azeem
6 citations
Scientific Reports
Multi-Criteria Decision Making
2.94
article

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

Jawad Ali, Muhammed I. Syam, Muhammad Masood Azeem
article en
6 citations

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.

Scientific ReportsVol. 14(1)
Quaid-i-Azam University (PK), Kohat University of Science and Technology (PK), United Arab Emirates University (AE), University of Faisalabad (PK), University of Agriculture Faisalabad (PK)
Peace, Justice and strong institutions
Openalex Percentile: Top 9%
Multi-Criteria Decision Making
2.94
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Interval-valued picture fuzzy decision-making framework with partitioned maclaurin symmetric mean aggregation operators — Jawad Ali, Muhammed I. Syam, et al. · Scientific Reports (2024) | TGRS Research Map | TGRS