Abstract

This article's goal is to present a mathematical paradigm, Pentapartitioned Fermatean Neutrosophic Soft-Rough Set (PFN-SRS). PFN-SRS integrates elements of neutrosophic sets, Fermatean sets, Soft sets and Rough sets, providing a robust tool for addressing the intricate issues of data inconsistency, imprecision and ambiguity. We present a comprehensive exploration of PFN-SRS, encompassing its definition, properties and mathematical structures. To demonstrate the practical utility of PFN-SRS, we introduce and apply the ANMABA method. The PFN-SRS framework empowers a more nuanced and adaptable approach to handling uncertainty and imprecision in decision making problems. ANMABA method for PFN-SRS provides actionable perception and can be applied to solve various problems in industries in different contexts. By utilizing ANMABA method for PFN-SRS, organizations can improve their services by using data-driven decision-making and gain insightful knowledge about consumer satisfaction.

Keywords and Phrases

Pentapartitioned fermatean neutrosophic soft rough sets, UPFN-SR operator, LPFN-SR operator.

A.M.S. subject classification

18B30, 03E72.

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