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ARTICLE

Suzuki-Type ()-Weak Contraction for the Hesitant Fuzzy Soft Set Valued Mappings with Applications in Decision Making

Muhammad Sarwar^1,2,*, Rafiq Alam¹, Kamaleldin Abodayeh^2,*, Saowaluck Chasreechai^3,4, Thanin Sitthiwirattham^4,5

1 Department of Mathematics, University of Malakand, Chakdara, Khyber Pakhtunkhwa, 18800, Pakistan
2 Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
3 Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand
5 Research Group for Fractional Calculus Theory and Applications, Science and Technology Research Institute, King Mongkut’s University of Technology North Bangkok, Bangkok, 10800, Thailand
4 Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, 10300, Thailand

* Corresponding Authors: Muhammad Sarwar. Email: ; Kamaleldin Abodayeh. Email:

(This article belongs to the Special Issue: Advances in Ambient Intelligence and Social Computing under uncertainty and indeterminacy: From Theory to Applications)

Computer Modeling in Engineering & Sciences 2025, 143(2), 2213-2236. https://doi.org/10.32604/cmes.2025.062139

Received 11 December 2024; Accepted 21 March 2025; Issue published 30 May 2025

Abstract

In this manuscript, the notion of a hesitant fuzzy soft fixed point is introduced. Using this notion and the concept of Suzuki-type ()-weak contraction for hesitant fuzzy soft set valued-mapping, some fixed point results are established in the framework of metric spaces. Based on the presented work, some examples reflecting decision-making problems related to real life are also solved. The suggested method’s flexibility and efficacy compared to conventional techniques are demonstrated in decision-making situations involving uncertainty, such as choosing the best options in multi-criteria settings. We noted that the presented work combines and generalizes two major concepts, the idea of soft sets and hesitant fuzzy set-valued mapping from the existing literature.

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Keywords

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