Faces and dual of m-polar fuzzy planar graphs

Article type: Research Article

Authors: Ghorai, Ganesh^* | Pal, Madhumangal

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

Correspondence: [*] Corresponding author. Ganesh Ghorai, Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721 102, India. Tel.: +91 9734964777; Fax: +03222 261174; E-mail: math.ganesh@mail.vidyasagar.ac.in

Abstract: Recently, Ghorai and Pal [12] introduced the notion of m-polar fuzzy planar graphs using the concept of m-polar fuzzy multisets. In this paper, m-polar fuzzy faces and strong m-polar fuzzy faces are defined. Then m-polar fuzzy dual graph of an m-polar fuzzy planar graph is introduced with example. Some isomorphism properties of m-polar fuzzy planar graphs are also studied.

Keywords: m-polar fuzzy planar graphs, faces of m-polar fuzzy planar graphs, m-polar fuzzy dual graphs, isomorphism of m-polar fuzzy planar graphs

DOI: 10.3233/JIFS-16433

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 3, pp. 2043-2049, 2016