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The Energy of Interval-Valued Complex Neutrosophic Graph Structures: Framework, Application and Future Research Directions 区间值复杂中性图结构的能量:框架、应用与未来研究方向
Pub Date : 2024-01-06 DOI: 10.61356/j.nswa.2024.106
S. N. S. Bathusha, Sowndharya Jayakumar, S. Angelin, Kavitha Raj
Graph structure is a developing field with many real-world applications and advancements, particularly effective frameworks for integrative problem-solving in computer networks and artificial intelligence systems. To define the idea of an Interval-Valued Complex Neutrosophic Graph Structure (IVCNGS), the concept of an Interval-Valued Complex Neutrosophic Set (IVCNS) is applied to the graph structure. Using the adjacency matrix to calculate the degree of vertex, we have defined some findings about the IVCNGS. Further, we compute the energy and Laplacian energy of IVCNGS. Moreover, we derive the lower and upper bounds for the energy and Laplacian energy of IVCNGS, and we have discussed their application in IVCNGS. Finally, we develop an algorithm that clarifies the fundamental processes of the application.
图结构是一个不断发展的领域,在现实世界中有许多应用和进步,特别是在计算机网络和人工智能系统中用于综合解决问题的有效框架。为了定义区间值复中性图结构(IVCNGS),我们将区间值复中性集(IVCNS)的概念应用于图结构。利用邻接矩阵计算顶点度,我们定义了有关 IVCNGS 的一些结论。此外,我们还计算了 IVCNGS 的能量和拉普拉卡能量。此外,我们还推导出了 IVCNGS 能量和拉普拉卡能量的下限和上限,并讨论了它们在 IVCNGS 中的应用。最后,我们开发了一种算法,阐明了应用的基本过程。
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Neutrosophic Systems with Applications
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