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

Muhammad Akram; Amna Habib; Farwa Ilyas; Jawaria Mohsan Dar

doi:10.3390/mca23030042

Mathematical and Computational Applications (Aug 2018)

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

Muhammad Akram,
Amna Habib,
Farwa Ilyas,
Jawaria Mohsan Dar

Affiliations

Muhammad Akram: Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan
Amna Habib: Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan
Farwa Ilyas: Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan
Jawaria Mohsan Dar: Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan

DOI: https://doi.org/10.3390/mca23030042
Journal volume & issue: Vol. 23, no. 3
p. 42

Abstract

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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.

Published in Mathematical and Computational Applications

ISSN: 1300-686X (Print); 2297-8747 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods; Science: Mathematics: Instruments and machines: Electronic computers. Computer science
Website: http://www.mdpi.com/journal/mca

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