@article{Hamidi2023, 
author = {Mohammad Hamidi and Florentin Smarandache},
title = {Valued-inverse Dombi neutrosophic graph and application},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {11},
pages = {26614-26631},
keywords = {neutrosophic graph, Dombi triangular operator, inverse fuzzy graph, Dombi fuzzy graph, valued-Dombi inverse fuzzy graph},
url = {https://www.sciopen.com/article/10.3934/math.20231361},
doi = {10.3934/math.20231361},
abstract = {Utilizing two ideas of neutrosophic subsets (NS) and triangular norms, we introduce a new type of graph as valued-inverse Dombi neutrosophic graphs. The valued-inverse Dombi neutrosophic graphs are a generalization of inverse neutrosophic graphs and are dual to Dombi neutrosophic graphs. We present the concepts of (complete) strong valued-inverse Dombi neutrosophic graphs and analyze the complement of (complete) strong valued-inverse Dombi neutrosophic graphs and self-valued complemented valued-inverse Dombi neutrosophic graphs. Since the valued-inverse Dombi neutrosophic graphs depend on real values, solving the non-equation and the concept of homomorphism play a prominent role in determining the complete, strong, complementarity and self-complementarity of valued-inverse Dombi neutrosophic graphs. We introduce the truth membership order, indeterminacy membership order, falsity membership order, truth membership size, indeterminacy membership size and indeterminacy membership size of any given valued-inverse Dombi neutrosophic graph, which play a major role in the application of valued inverse Dombi neutrosophic graphs in complex networks. An application of a valued-inverse Dombi neutrosophic graph is also described in this study.}
}