Partitioned dual Maclaurin symmetric mean operators based on picture fuzzy sets and their applications in multi-attribute decision-making problems

Tahir Mahmood; Ubaid Ur Rehman; Walid Emam; Zeeshan Ali; Haolun Wang

doi:10.1038/s41598-023-44344-8

Partitioned dual Maclaurin symmetric mean operators based on picture fuzzy sets and their applications in multi-attribute decision-making problems

Sci Rep. 2023 Nov 27;13(1):20834. doi: 10.1038/s41598-023-44344-8.

Authors

Tahir Mahmood¹, Ubaid Ur Rehman², Walid Emam³, Zeeshan Ali⁴, Haolun Wang⁵

Affiliations

¹ Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, Pakistan. tahirbakhat@iiu.edu.pk.
² Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, Pakistan.
³ Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, 11451, Riyadh, Saudi Arabia.
⁴ Department of Mathematics and Statistics, Riphah International University Islamabad, Islamabad, Pakistan.
⁵ School of Economics and Management, Nanchang Hangkong University, Nanchang, 330063, China.

Abstract

The partitioned Dual Maclaurin symmetric mean (PDMSM) operator has the supremacy that can justify the interrelationship of distinct characteristics and there are a lot of exploration consequences for it. However, it has not been employed to manage "multi-attribute decision-making" (MADM) problems represented by picture fuzzy numbers. The basic inspiration of this identification is to develop the novel theory of picture fuzzy PDMSM operator, and weighted picture fuzzy PDMSM operator and to identify their important results (Idempotency, Monotonicity, and Boundedness). Further, to identify the best decision, every expert realized that they needed the best way to find the beneficial optimal using the proper decision-making procedure, for this, we diagnosed the MADM tool in the consideration of deliberated approaches based on PF information. Finally, to drive the characteristics of the invented work, several examples are utilized to test the manifest of the comparative analysis with various more existing theories, which is a fascinating and meaningful technique to deeply explain the features and exhibited of the proposed approaches.