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Math. Comput. Appl. 2018, 23(3), 42; https://doi.org/10.3390/mca23030042

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

Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan
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Received: 28 July 2018 / Revised: 18 August 2018 / Accepted: 21 August 2018 / Published: 23 August 2018
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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. View Full-Text
Keywords: Pythagorean fuzzy graphs; intuitionistic fuzzy graphs of 3-type; intuitionistic fuzzy graphs of 4-type; intuitionistic fuzzy graphs of n-type Pythagorean fuzzy graphs; intuitionistic fuzzy graphs of 3-type; intuitionistic fuzzy graphs of 4-type; intuitionistic fuzzy graphs of n-type
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Akram, M.; Habib, A.; Ilyas, F.; Mohsan Dar, J. Specific Types of Pythagorean Fuzzy Graphs and Application to Decision-Making. Math. Comput. Appl. 2018, 23, 42.

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