Implication-Based Neutrosophic Finite State Machine  over a Finite Group

S. Jafari; N. Rajesh; G. Nordo; M. Gorgone

Implication-Based Neutrosophic Finite State Machine over a Finite Group

Authors

S. Jafari Mathematical and Physical Science Foundation, 4200 Slagelse, Denmark;
N. Rajesh Department of Mathematics, Rajah Serfoji Government College, Thanjavur-613005, Tamilnadu, India;
G. Nordo MIFT Department– Mathematical and Computer Science, Physical Sciences and Earth Sciences University of Messina, 98166 Sant’Agata, Messina, Italy;
M. Gorgone MIFT Department– Mathematical and Computer Science, Physical Sciences and Earth Sciences University of Messina, 98166 Sant’Agata, Messina, Italy;

Keywords:

Implication-based neutrosophic finite state machine, implication-based neutrosophic subgroup, neutrosophic kernel, neutrosophic subsemiautomaton, finite group theory, neutrosophic logic.

Abstract

In this paper, we define and investigate the concept of the implication-based neutrosophic finite state
machine (IB-IFSA) over a finite group. Building upon the framework of neutrosophic logic, we introduce the
implication-based neutrosophic kernel and the implication-based neutrosophic subsemiautomaton, establishing
their formal definitions and properties. Additionally, we explore the structural interplay between these concepts
and their implications within algebraic systems.

DOI: 10.5281/zenodo.14759309

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Published

2025-03-01

Issue

Vol. 80 (2025): Neutrosophic Sets and Systems

Section

Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons Attribution (CC BY) license.

How to Cite

S. Jafari, N. Rajesh, G. Nordo, & M. Gorgone. (2025). Implication-Based Neutrosophic Finite State Machine over a Finite Group. Neutrosophic Sets and Systems, 80, 529-539. https://fs.unm.edu/nss8/index.php/111/article/view/5758