A neutrosophic folding and retraction on a single-valued neutrosophic graph

Article type: Research Article

Authors: Abu-Saleem, M.^{; *}

Affiliations: Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt, Jordan

Correspondence: [*] Corresponding author. M. Abu-Saleem, Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan. E-mail: m_abusaleem@bau.edu.jo.

Abstract: The main aim of this article is to present neutrosophic folding and neutrosophic retractions on a single-valued neutrosophic graph Ğ from the viewpoint of geometry and topology. For this reason, we use a sequence of neutrosophic transformations on Ğ to obtain a new single-valued neutrosophic graph Gˇ1 which contains different parameters under new conditions. We deduce the isometric neutrosophic folding on neutrosophic spheres and neutrosophic torii. Also, we determine the relationship between the limit neutrosophic folding and the limit of neutrosophic retraction on Ğ. Theorems regulating these relations are attained.

Keywords: Single valued neutrosophic graph, neutrosophic folding, neutrosophic retraction

Keywords: 51H20, 57N10, 57M05, 14F35, 20F34

DOI: 10.3233/JIFS-201957

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 3, pp. 5207-5213, 2021