Application of neutrosophic minimum spanning tree in electrical power distribution network
| Autor: | Xiao Qun Liao, Tong Su, Li Ma |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
distribution networks
linear programming trees (mathematics) genetic algorithms set theory real-life problems neutrosophic mst problem linear programming model neutrosophic minimum spanning tree electrical power distribution network combinatorial optimisation problems graph theory triangular neutrosophic Computational linguistics. Natural language processing P98-98.5 Computer software QA76.75-76.765 |
| Zdroj: | CAAI Transactions on Intelligence Technology (2020) |
| Druh dokumentu: | article |
| ISSN: | 2468-2322 |
| DOI: | 10.1049/trit.2019.0100 |
| Popis: | The problem of finding the minimum spanning tree (MST) is one of the most studied and important combinatorial optimisation problems in graph theory. Several types of uncertainties exist in real-life problems, which make it very hard to find the exact length of the arc. The neutrosophic set is an efficient tool to model and deal with the uncertainties in information due to inconsistent and indeterminate. In this study, the authors use triangular neutrosophic numbers to represent the edge weights of a neutrosophic graph for the MST problem in the neutrosophic environment. They call this problem a neutrosophic MST (NMST) problem. They formulate the NMST problem in terms of the linear programming model. Here, they introduce an algorithmic method based on a genetic algorithm for solving the NMST problem. They present the utility of triangular neutrosophic numbers as edge weights and their application in the electrical distribution network. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|
Plný text