Evidence map›Paper›PMID 40240476›Full record

ArticleScientific reports2025

Group decision-making framework using generalized heronian mean operators in quasi rung orthopair fuzzy environment with applications.

Muhammad Bilal, Jawad Ali, Muhammad Fawad Tariq, Mohammad Mehedi Hassan

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In one paragraph

Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Muhammad BilalSchool of Mathematics and Statistics, Yunnan University, Yunnan, 650091, China.
Jawad AliInstitute of Numerical Sciences, Kohat University of Science and Technology, Kohat, KPK, Pakistan. jawadali@math.qau.edu.pk.
Muhammad Fawad TariqInstitute of Numerical Sciences, Kohat University of Science and Technology, Kohat, KPK, Pakistan.
Mohammad Mehedi HassanInformation Systems Department, College of Computer and Information Sciences, King Saud University, Riyadh, 11543, Saudi Arabia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Effective decision-making in complex environments often requires handling fuzzy data with interdependencies. The generalized Heronian mean and geometric Heronian mean operators have proven useful for such analysis. However, existing methods struggle to capture correlations among pq-quasi rung orthopair fuzzy (pqQROF) numbers. This study addresses this gap by extending these operators to the pqQROF setting and developing a novel hybrid decision-making framework. The proposed framework integrates a distance measure, rank sum (RS) method, and aggregation operators to determine both objective and subjective criteria weights. The applicability of the approach is demonstrated through two case studies: project selection and university selection. Finally, a comparative evaluation of the developed operators against existing ones is conducted to assess their effectiveness and highlight the superiority of the proposed decision-making algorithm.

Indexed as

Decision-makingHeronian mean operatorQuasirung orthopair fuzzy setRank sum methodTourism projects

Identifiers

PMID40240476
PMCPMC12003817

What OpenQuestion holds

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LicenceCC BY-NC-ND
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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.