Evidence map›Paper›PMID 39247259›Full record

ArticleHeliyon2024

Development of Aczel-Alsina t-norm based linear Diophantine fuzzy aggregation operators and their applications in multi-criteria decision-making with unknown weight information.

Rizwan Gul, Tareq M Al-Shami, Saba Ayub, Muhammad Shabir, M Hosny

Abstract read
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Article in Heliyon, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.

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3citing papers in PubMed
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1 · What the graph read from it

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2 · The registry

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3 · Its place in the literature

Who cites it

3 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

5 authors.

Rizwan GulDepartment of Mathematics, Quaid-i-Azam University, Islamabad, 44230, Pakistan.
Tareq M Al-ShamiDepartment of Mathematics, Sana'a University, Sana'a, Yemen.
Saba AyubDepartment of Mathematics, Quaid-i-Azam University, Islamabad, 44230, Pakistan.
Muhammad ShabirDepartment of Mathematics, Quaid-i-Azam University, Islamabad, 44230, Pakistan.
M HosnyDepartment of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Aczel-Alsina t-norm and t-conorm are intrinsically flexible and endow Aczel-Alsina aggregation operators with greater versatility and robustness in the aggregation process than operators rooted in other t-norms and t-conorm families. Moreover, the linear Diophantine fuzzy set (LD-FS) is one of the resilient extensions of the fuzzy sets (FSs), intuitionistic fuzzy sets (IFSs), Pythagorean fuzzy sets (PyFSs), and q-rung orthopair fuzzy sets (q-ROFSs), which has acquired prominence in decision analysis due to its exceptional efficacy in resolving ambiguous data. Keeping in view the advantages of both LD-FSs and Aczel-Alsina aggregation operators, this article aims to establish Aczel-Alsina operation rules for LD-FSs, such as Aczel-Alsina sum, Aczel-Alsina product, Aczel-Alsina scalar multiplication, and Aczel-Alsina exponentiation. Based on these operation rules, we expose the linear Diophantine fuzzy Aczel-Alsina weighted average (LDFAAWA) operator, and linear Diophantine fuzzy Aczel-Alsina weighted geometric (LDFAAWG) operator and scrutinize their distinctive characteristics and results. Additionally, based on these aggregation operators (AOs), a multi-criteria decision-making (MCDM) approach is designed and tested with a practical case study related to forecasting weather under an LD-FS setting. The developed model undergoes a comparative analysis with several prevailing approaches to demonstrate the superiority and accuracy of the proposed model. Besides, the influence of the parameter Λ on the ranking order is successfully highlighted.

Indexed as

Aczel-Alsina t-normAggregation operatorsLinear Diophantine fuzzy setMCDM

Identifiers

PMID39247259
PMCPMC11379617

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