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Neutrosophic Sets and Systems
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Application of Bipolar Neutrosophic sets to Incidence Graphs

تطبيق مجموعات النيوتروسوفيك ثنائية القطب على الرسوم البيانية للوقوع
Authors: Muhammad Akram; Nabeela Ishfaq; Florentín Smarandache; Said Broumi;

Application of Bipolar Neutrosophic sets to Incidence Graphs

Abstract

Dans cet article de recherche, nous appliquons l'idée d'ensembles neutrosophiques bipolaires aux graphiques d'incidence. Nous présentons des somenotions, y compris des graphiques d'incidence neutrosophique bipolaire, un cycle d'incidence neutrosophique bipolaire et un arbre d'incidence neutrosophique bipolaire. Nous définissons le chemin fort, la force et la force d'incidence du chemin le plus fort dans les graphiques d'incidence neutrosophiques bipolaires. Nous étudions certaines propriétés des graphiques d'incidence neutrosophiques bipolaires. Nous décrivons également une application des graphiques d'incidence neutrosophique bipolaire.

En este trabajo de investigación, aplicamos la idea de conjuntos neutrosóficos bipolares a gráficos de incidencia. Presentamos somenociones, que incluyen gráficos de incidencia neutrosófica bipolar, ciclo de incidencia neutrosófica bipolar y árbol de incidencia neutrosófica bipolar. Definimos la ruta fuerte, la fuerza y la fuerza de incidencia de la ruta más fuerte en los gráficos de neutrosoficincidencia bipolar. Investigamos algunas propiedades de los gráficos de incidencia neutrosófica bipolar. También describimos una aplicación de gráficos de incidencia neutrosófica bipolar.

In this research paper, we apply the idea of bipolar neutrosophic sets to incidence graphs. We present somenotions, including bipolar neutrosophic incidence graphs, bipolar neutrosophic incidence cycle and bipolar neutro-sophic incidence tree. We define strong path, strength and incidence strength of strongest path in bipolar neutrosophicincidence graphs. We investigate some properties of bipolar neutrosophic incidence graphs. We also describe anapplication of bipolar neutrosophic incidence graphs.

في هذه الورقة البحثية، نطبق فكرة مجموعات النيوتروسوفيك ثنائية القطب على الرسوم البيانية للوقوع. نقدم عروضًا، بما في ذلك الرسوم البيانية لحدوث النيوتروسوفيك ثنائي القطب، ودورة حدوث النيوتروسوفيك ثنائي القطب، وشجرة حدوث النيوتروسوفيك ثنائي القطب. نحدد المسار القوي والقوة وقوة السقوط لأقوى مسار في الرسوم البيانية لحدوث النيوتروسوفك ثنائية القطب. نقوم بالتحقيق في بعض خصائص الرسوم البيانية لحدوث النيوتروسوفيك ثنائي القطب. كما نصف تطبيق الرسوم البيانية لحدوث النيوتروسوفيك ثنائي القطب.

Keywords

FOS: Computer and information sciences, Intuitionistic Fuzzy Sets, Machine Learning in Smart Healthcare, Incidence (geometry), Social Sciences, Geometry, QA75.5-76.95, Multi-Criteria Decision Making, Management Science and Operations Research, Computer science, Decision Sciences, Artificial Intelligence, Combinatorics, Electronic computers. Computer science, Computer Science, Physical Sciences, QA1-939, FOS: Mathematics, Applications and Challenges of IoT, Mathematics, Information Systems

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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