AN ALGORITHMIC APPROACH FOR THE SELECTION OF BUSINESS PARTNERS BY USING BALANCED PICTURE FUZZY GRAPH
Fahad Ur Rehman. University of Management and Technology (UMT). E-mail: f2020265004@umt.edu.pk
Tabasam Rashid. University of Management and Technology (UMT). E-mail: tabasam.rashid@umt.edu.pk
Muhammad Tanveer Hussain. University of Management and Technology (UMT). E-mail: tanveerhussain@umt.edu.pk
- Fuzzy Economic Review: Volume 28, Number 1, 2023 (On Going)
- DOI: 10.25102/fer.2023.01.02
Abstract
The particular type of picture fuzzy graph (PFG) is picture fuzzy incidence graph (PFIG) which provides the detail about the impact of vertices on the edges. This article includes the basic characteristics and definitions of PFIG such as intense and feeble picture fuzzy incidence subgraphs, balanced picture fuzzy incidence graph (BPFIG), strictly BPFIG and conditions of isomorphism between two PFIGs are being discussed. Some already existing theorems of PFG are also checked in PFIG. An algorithm is proposed to check weather a PFIG is a BPFIG or not. The proof of proposed algorithm is given with the help of an example to check its efficiency and reliability. A comparative analysis of PFIG with PFG is discussed. Finally, a business trade of six different companies is discussed to sort out business partners who are more allied by using BPFIG.