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Mathematics 2018, 6(8), 136; https://doi.org/10.3390/math6080136

Energy of Pythagorean Fuzzy Graphs with Applications

Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan
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Received: 6 July 2018 / Revised: 29 July 2018 / Accepted: 7 August 2018 / Published: 10 August 2018
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Abstract

Pythagorean fuzzy sets (PFSs), an extension of intuitionistic fuzzy sets (IFSs), inherit the duality property of IFSs and have a more powerful ability than IFSs to model the obscurity in practical decision-making problems. In this research study, we compute the energy and Laplacian energy of Pythagorean fuzzy graphs (PFGs) and Pythagorean fuzzy digraphs (PFDGs). Moreover, we derive the lower and upper bounds for the energy and Laplacian energy of PFGs. Finally, we present numerical examples, including the design of a satellite communication system and the evaluation of the schemes of reservoir operation to illustrate the applications of our proposed concepts in decision making. View Full-Text
Keywords: Pythagorean fuzzy graphs (PFGs); energy; Laplacian energy; satellite communication system; schemes of reservoir operation Pythagorean fuzzy graphs (PFGs); energy; Laplacian energy; satellite communication system; schemes of reservoir operation
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Akram, M.; Naz, S. Energy of Pythagorean Fuzzy Graphs with Applications. Mathematics 2018, 6, 136.

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