Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2016
Abstract
The selection of shortest path problem is one the classic problems in graph theory. In literature, many algorithms have been developed to provide a solution for shortest path problem in a network. One of common algorithms in solving shortest path problem is Dijkstra’s algorithm. In this paper, Dijkstra’s algorithm has been redesigned to handle the case in which most of parameters of a network are uncertain and given in terms of neutrosophic numbers. Finally, a numerical example is given to explain the proposed algorithm.
Publication Title
Proceedings of the 2016 International Conference on Advanced Mechatronic Systems, Melbourne
First Page
1
Last Page
26
DOI
http://doi.org/10.5281/zenodo.888833
Language (ISO)
English
Keywords
Dijkstra’s algorithm; Single valued neutrosophic number; Shortest path problem; Network
Recommended Citation
Said Broumi, Assia Bakali, Mohamed Talea, Florentin Smarandache, & Luige Vladareanu. (2016). Applying Dijkstra Algorithm for Solving Neutrosophic Shortest Path Problem. In Proceedings of the 2016 International Conference on Advanced Mechatronic Systems, Melbourne. 5 pages. http://doi.org/10.5281/zenodo.888833
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Digital Communications and Networking Commons, Logic and Foundations Commons, Number Theory Commons, Other Computer Engineering Commons, Other Mathematics Commons