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Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making

M. Akram,Amna Habib,Farwa Ilyas,Jawaria Mohsan Dar

2018 · DOI: 10.3390/MCA23030042
Mathematical and Computational Applications · 59 Citations

TLDR

Some new operations, including rejection, symmetric difference, residue product, and maximal product of Pythagorean fuzzy graphs are presented, and it is proved that every IFG(n−1)T is an IFGnT (for n ≥ 2).

Abstract

The purpose of this research study is to present some new operations, including rejection, symmetric difference, residue product, and maximal product of Pythagorean fuzzy graphs (PFGs), and to explore some of their properties. This research article introduces certain notions, including intuitionistic fuzzy graphs of 3-type (IFGs3T), intuitionistic fuzzy graphs of 4-type (IFGs4T), and intuitionistic fuzzy graphs of n-type (IFGsnT), and proves that every IFG(n−1)T is an IFGnT (for n ≥ 2). Moreover, this study discusses the application of Pythagorean fuzzy graphs in decision making.