Smart Computing and Decision Support with Neutrosophic  Ranked Soft Sets

Nisar Ahmad; Husniyah Alzubaidi; Raga Idress; Sultan S. Alodhaibi; Hamiden Abd El-Wahed Khalifa; Hakeem A. Othman

Authors

Nisar Ahmad Institute of Numerical Sciences, Kohat University of Science and Technology (KUST), 26000, Kohat, Pakistan;
Husniyah Alzubaidi Department of Mathematics, AL-Qunfudhah University college, Umm Al-Qura University, Saudi Arabia;
Raga Idress Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia;
Sultan S. Alodhaibi Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia;
Hamiden Abd El-Wahed Khalifa Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613 Egypt;
Hakeem A. Othman Mathematics Department, Albaydha University, Albaydha, Yemen;

Keywords:

Neutrosophic ranked soft sets; Intelligent computing; Data-driven decision-making; Uncertainty modeling; Soft set theory; Multi-criteria decision analysis; Neutrosophic logic; Decision support systems; Pa rameter ranking.

Abstract

Neutrosophic Ranked Soft Sets (NRSS) provide a robust mathematical framework for managing
uncertainty, imprecision, and parameter prioritization in complex decision environments. This paper presents
a comprehensive study on the application of NRSS in intelligent computing and data-driven decision-making
systems. By integrating neutrosophic logic with ranked soft set theory, the proposed model e ectively captures
the degrees of truth, uncertainty, and falsity along with their relative weight of parameters. We establish the
theoretical foundations of NRSS and illustrate its utility through real-world-inspired scenarios in areas such as
expert systems, intelligent ltering, and multi-criteria evaluation. The ndings demonstrate that NRSS signi
cantly enhance the adaptability, interpretability, and reliability of intelligent systems, making them well-suited
for modern decision support applications

DOI 10.5281/zenodo.17216445.