Browsing by Author "Rafiq Alam"
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Item Suzuki-Type (μ, ν)-Weak Contraction for the Hesitant Fuzzy Soft Set Valued Mappings with Applications in Decision Making(Tech Science Press, 2025) Muhammad Sarwar; Rafiq Alam; Kamaleldin Abodayeh; Saowaluck Chasreechai; Thanin Sitthiwirattham; M. Sarwar; Department of Mathematics, University of Malakand, Chakdara, Khyber Pakhtunkhwa, 18800, Pakistan; email: sarwarswati@gmail.com; K. Abodayeh; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia; email: kamal@psu.edu.saIn this manuscript, the notion of a hesitant fuzzy soft fixed point is introduced. Using this notion and the concept of Suzuki-type (μ, ν)-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. Copyright © 2025 The Authors.