Exploring Neutrosophic Numeral System Algorithms for  Handling Uncertainty and Ambiguity in Numerical Data:  An Overview and Future Directions

A. A. Salama; Mahmoud Y. Shams; Sherif Elseuofi; Huda E. Khalid

Authors

A. A. Salama Dept. of Math and Computer Sci., Faculty of Science, Port Said Univ., Egypt;
Mahmoud Y. Shams Dept. of Machine Learning, Faculty of Artificial Intelligence, Kafrelsheikh University, Egypt;
Sherif Elseuofi Information System Department, Higher Institute for Computers & Specific Studies, Ras-Elbar, Damietta, Egypt
Huda E. Khalid Telafer University, The Administration Assistant for the President of the Telafer University, Telafer, Iraq

Keywords:

Numerical Systems; Neutrosophic Mathematics; Neutrosophic Numerical Systems

Abstract

The Neutrosophic Numeral System Algorithms are a set of techniques designed to
handle uncertainty and ambiguity in numerical data. These algorithms use Neutrosophic Set
Theory, a mathematical framework that deals with incomplete, indeterminate, and inconsistent
information. In this paper, we provide an overview of different approaches used in Neutrosophic
Numeral System Algorithms, including Neutrosophic Binary System, Neutrosophic Decimal
System, and Neutrosophic Octal System. These systems use different bases and representations to
account for degrees of truth, indeterminacy, and falsity in numerical data. We also explore the
relationship between Neutrosophic Numeral System Algorithms and Number Neutrosophic
Systems, which are another type of Neutrosophic System used for representing numerical data.
Number Neutrosophic Systems use Neutrosophic Numbers to represent degrees of truth,
indeterminacy, and falsity in numerical data, and they can be used in conjunction with
Neutrosophic Numeral System Algorithms to handle uncertainty and ambiguity in
decision-making and artificial intelligence applications. Moreover. We discuss the advantages and
disadvantages of each algorithm and their potential applications in various fields. Finally, we
highlight the importance of Neutrosophic cryptography in addressing uncertainty and ambiguity
in decision making and artificial intelligence and discuss future research directions. Understanding
Neutrosophic Numeral System Algorithms and their relationship with Number Neutrosophic
Systems is crucial for developing effective techniques for handling uncertainty and ambiguity in
numerical data in decision-making, pattern recognition, and artificial intelligence applications.