Neutrosphic switch graphs, neutrosophic reversal switch graphs and reversal neutrosophic reactive graphs
Abstract
This study introduces a broader framework termed Reversal Neutrosophic Switch Graph (RNSG), which facilitates both the activation and deactivation of arrows alongside updating their fuzzy values. The procedure yields the Reversal Neutrosophic Reactive Graph (RNRG) by employing various aggregation functions. Moreover, we propose several processes reliant on aggregate functions such as union, intersection, cartesian product, and extension. Reversal Neutrosophic Fuzzy Switch Graphs (RNFSGs) can effectively model the dynamic components of numerous systems prevalent in engineering, computer science, and related disciplines. The paper further elucidates the relationship between Neutrosophic Graphs and RNSGs, providing a logic for assessing the modelled system's characteristics.
Keywords:
Neutrosophic switch graphs, Reversal neutrosophic switch graph, Neutrosophic reactive graphs, Reversal neutrosophic reactive graphs, Aggregations functionsReferences
- [1] Gabbay, D. M. (2004). Reactive kripke semantics and arc accessibility. Proceedings of comblog (Vol. 4). Centre of Logic and Computation, University of Lisbon. https://www.cle.unicamp.br/eprints/index.php/CLE_e-Prints/article/view/829.
- [2] Campos, S., Santiago, R., Martins, M. A., & Figueiredo, D. (2022). Introduction to reversal fuzzy switch graph. Science of computer programming, 216, 102776. https://doi.org/10.1016/j.scico.2022.102776
- [3] Campos, S., Santiago, R., Martins, M. A., & Figueiredo, D. (2023). Aggregation-based operations for reversal fuzzy switch graphs. Fuzzy sets and systems, 466, 108273. https://doi.org/10.1016/j.fss.2022.03.015
- [4] Baczyński, M., Sola, H., & Mesiar, R. (2017). Aggregation functions: Theory and applications, part I. Fuzzy sets and systems, 324. https://doi.org/10.1016/j.fss.2017.05.012
- [5] Baczyński Michałand Bustince, H., & Mesiar, R. (2017). Aggregation functions: Theory and applications, part II. Fuzzy Sets And Systems. https://dx.doi.org/10.1016/j.fss.2017.05.013
- [6] Fathi, S., ElGhawalby, H., & Salama, A. A. (2020). On Neutrosophic Graph. Neutrosophic knowledge, 1, 7–14. https://www.researchgate.net/profile/A-Salama/publication/345432304
- [7] Gabbay, D., & Marcelino, S. (2012). Global view on reactivity: switch graphs and their logics. Annals of mathematics and artificial intelligence, 66(1), 131–162. https://doi.org/10.1007/s10472-012-9316-8
- [8] Santiago, R., Martins, M. A., & Figueiredo, D. (2021). Introducing fuzzy reactive graphs: A simple application on biology. Soft computing, 25(9), 6759–6774. https://doi.org/10.1007/s00500-020-05353-1
- [9] Campos, S., Santiago, R., Martins, M. A., & Figueiredo, D. (2020). Reversal fuzzy switch graphs. Brazilian symposium on formal methods (pp. 137–154). Springer, Cham. https://doi.org/10.1007/978-3-030-63882-5_9
