Matching numbers in fuzzy graphs

• Published in: Journal of applied mathematics & computing Vol. 67; no. 1-2; pp. 1 - 22
• Main Authors: Khalili, M., Borzooei, R. A., Deldar, M.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 2021; Springer Nature B.V
• Subjects: Algorithms; Apexes; Applied mathematics; Computational Mathematics and Numerical Analysis; Graph matching; Graph theory; Graphs; Mathematical and Computational Engineering; Mathematics; Mathematics and Statistics; Mathematics of Computing; Optimization; Optimization algorithms; Original Research; Theory of Computation; Matching; Vertex-fuzzy number; Strong-vertex matching; Matching numbers; Edge-fuzzy number; Fuzzy prior

The present study aims to introduce new methods to achieve optimal matching in fuzzy graphs and classify the fuzzy sizes of the edges and vertices of a matching called “matching number”. Matching numbers in a fuzzy graph are not only a direct tool in improving existing matching optimization algorith...