Sadegh Banitalebi - Researcher, Department of Cognitive Modeling and Simulation, Faculty of Artificial Intelligence and Cognitive Sciences, Imam Hossein University, Tehran, Iran
Rajabali Borzooei - Department of Mathematics, Shahid Beheshti University, Tehran, Iran

In this paper the meanings of neutrosophic special n-dominating set,  neutrosophic special n-domination number, inverse neutrosophic special domination set (number) and  inverse neutrosophic special n-domination number are introduced and some of related results are investigated. Finally, an application of inverse neutrosophic special dominating set in decision making under ashy clauses between certainty and uncertainty is provided. 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.

Neutrosophic graph, neutrosophic special n-dominating set, neutrosophic special n- domination number, inverse neutrosophic special domination set (number), inverse neutrosophic special n-domination number