Certain types of m-polar interval-valued fuzzy graph

Article type: Research Article

Authors: Bera, Sanchari | Pal, Madhumangal^{; *}

Affiliations: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India

Correspondence: [*] Corresponding author. Madhumangal Pal, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore - 721 102, India. E-mail: mmpalvu@gmail.com.

Abstract: In this paper, an unprecedented kind of fuzzy graph designated as m-polar interval valued fuzzy graph (m-PIVFG) is defined. Complement of the m-PIVFG open and closed neighborhood degrees of m-PIVFG are discussed. The other algebraic properties such as density, regularity, irregularity of the m-PIVFG are investigated. Moreover, some basic results on regularity and irregularity of m-PIVFG are proved. Free nodes and busy nodes of m-PIVFG is explored with some basic theorems and examples. Lastly, an application of m-PIVFG is described.

Keywords: m-polar interval-valued fuzzy graph, balanced m-PIVFG, regularity and irregularity in m-PIVFG, density of m-PIVFG, free and busy nodes in m-PIVFG

DOI: 10.3233/JIFS-191587

Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3137-3150, 2020