Python based tool for Neutrosophic cubic sets and their operations

نویسندگان

1 Department of Information Technology, Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam 603110, India.

2 Department of Mathematics and Science, University of New Mexico, Gallup, NM 87301, USA.

3 Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam 603110, India.

4 Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Kalavakkam 603110, India.

doi
10.22105/jfea.2025.488662.1702
چکیده

In recent years, Neutrosophic Cubic Sets have emerged as an advanced mathematical framework for representing various forms of uncertainty, indeterminacy, and inconsistency in complex systems. Although earlier research on Neutrosophic Cubic Sets provides fundamental definitions and basic theoretical constructs, this work significantly extends the framework by introducing clear and rigorous definitions for additional operations such as addition, multiplication, and scalar multiplication, as well as for important measures including score, accuracy, and certainty. To bridge the gap between theoretical constructs and practical applications, a highly interactive, user-friendly Python-based computational tool has been developed for performing these operations efficiently on Neutrosophic Cubic Sets. The usage of the tool is illustrated with examples, and the effectiveness of all the operations is demonstrated through images, thereby highlighting their potential utility for practical tasks such as image enhancement, pattern recognition and other applications where handling uncertain or inconsistent information is critical.