Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan.
IME, Universidad de Salamanca, 37007 Salamanca, Spain.
Math Biosci Eng. 2023 Jan;20(3):4609-4642. doi: 10.3934/mbe.2023214. Epub 2022 Dec 27.
Neutrosophic soft set theory is one of the most developed interdisciplinary research areas, with multiple applications in various fields such as computational intelligence, applied mathematics, social networks, and decision science. In this research article, we introduce the powerful framework of single-valued neutrosophic soft competition graphs by integrating the powerful technique of single-valued neutrosophic soft set with competition graph. For dealing with different levels of competitive relationships among objects in the presence of parametrization, the novel concepts are defined which include single-valued neutrosophic soft k-competition graphs and p-competition single-valued neutrosophic soft graphs. Several energetic consequences are presented to obtain strong edges of the above-referred graphs. The significance of these novel concepts is investigated through application in professional competition and also an algorithm is developed to address this decision-making problem.
Neutrosophic 软集理论是最发达的跨学科研究领域之一，在计算智能、应用数学、社交网络和决策科学等多个领域有广泛的应用。在这篇研究文章中，我们通过将单值 Neutrosophic 软集技术与竞争图相结合，引入了单值 Neutrosophic 软竞争图的强大框架。为了处理存在参数化时对象之间不同层次的竞争关系，我们定义了一些新概念，包括单值 Neutrosophic 软 k-竞争图和 p-竞争单值 Neutrosophic 软图。通过应用于专业竞争，我们提出了一些有活力的结果来获得这些图的强边。通过在专业竞争中的应用，我们研究了这些新概念的重要性，并且开发了一个算法来解决这个决策问题。
