Transversals of m-polar fuzzy hypergraphs with applications

Article type: Research Article

Authors: Akram, Muhammad^{; *} | Sarwar, Musavarah

Affiliations: Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

Correspondence: [*] Corresponding author. Muhammad Akram, Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan. E-mail: makrammath@yahoo.com.

Abstract: The mathematical modeling is an important aspect in apprehending the discrete and continuous physical systems. A hypergraph is a key tool to understand and model the situations in applied sciences and various engineering branches. Sometimes information in a network model is based on multi-object, multi-polar information or uncertainty rather than a single bit. In this research article, we apply the concept of m-polar fuzzy sets to generalize the theory of transversals of hypergraphs. We introduce the notion of m-polar fuzzy transversals and locally minimal m-polar fuzzy transversals of m-polar fuzzy hypergraphs and investigate some of their fundamental properties. We present interesting applications of m-polar fuzzy transversals in decision support system for investment management and the problem of finding minimum number of locations in a mesh network with least signal disturbance. We also design and implement algorithms for constructing m-polar fuzzy transversals, fundamental subsequence, determine a set of investment assets and finding minimum number locations in a mesh network.

Keywords: m-polar fuzzy hypergraph, m-polar fuzzy transversal, locally minimal m-polar fuzzy transversal, T-related, decision support system

DOI: 10.3233/JIFS-161668

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 1, pp. 351-364, 2017