Affiliations: [a]
Researcher, Department of Cognitive Modeling and Simulation, Faculty of Artificial Intelligence and Cognitive Sciences, Imam Hossein University, Tehran, Iran
| [b]
Department of Mathematics Education, Dongguk University, Seoul, Korea
| [c]
Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
| [d]
Department of Mathematics, Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkiye
Correspondence:
[*]
Corresponding author. S.S. Ahn, Department of Mathematics Education, Dongguk University, Seol 04620, Korea. Email: sunshine@dongguk.edu.
Abstract: Recently, the neutrosophic graph has been introduced as an extension of fuzzy graphs and intuitionistic fuzzy graphs, which offers more compatibility and flexibility than these two types in modeling and structuring many actual issues. In this article, using neutrosophic highly strong arc, the new notions of (totally) special irregular, highly special irregular, strongly special irregular, neighborly special irregular and special arc-irregular of neutrosophic graphs are stated. Finally, one of their utilizations relevant to offering a fixed optimization model in decision making in diverse conditions is presented. In fact,we present a decision-making problem in real-world applied example which discusses the factors influencing a companys efficiency. The presented model is, in fact, a factor-based model wherein the impact score of each factor is divided into two types of direct and indirect influences, in which the concept of neutrosophic special dominating set plays a significant role.
Keywords: Neutrosophic graph, special irregular neurosophic graph, special homomorphism, special isomorphism
