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Open AccessArticle

Spherical Fuzzy Graphs with Application to Decision-Making

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Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan
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Department of Mathematics, Yarmouk University, P.O. Box 566, Irbid 21163, Jordan
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Author to whom correspondence should be addressed.
Math. Comput. Appl. 2020, 25(1), 8; https://doi.org/10.3390/mca25010008
Received: 18 December 2019 / Revised: 16 January 2020 / Accepted: 16 January 2020 / Published: 20 January 2020
In a network model, the evaluation information given by decision makers are occasionally of types: yes, abstain, no, and refusal. To deal with such problems, we use mathematical models based on picture fuzzy sets. The spherical fuzzy model is more versatile than the picture fuzzy model as it broadens the space of uncertain and vague information, due to its outstanding feature of vast space of participation of acceptable triplets. Graphs are a mathematical representation of networks. Thus to deal with many real-world phenomena represented by networks, spherical fuzzy graphs can be used to model different practical scenarios in a more flexible manner than picture fuzzy graphs. In this research article, we discuss two operations on spherical fuzzy graphs (SFGs), namely, symmetric difference and rejection; and develop some results regarding their degrees and total degrees. We describe certain concepts of irregular SFGs with several important properties. Further, we present an application of SFGs in decision making.
Keywords: spherical fuzzy graphs; symmetric difference; rejection; edge irregular spherical fuzzy graphs; decision making spherical fuzzy graphs; symmetric difference; rejection; edge irregular spherical fuzzy graphs; decision making
MDPI and ACS Style

Akram, M.; Saleem, D.; Al-Hawary, T. Spherical Fuzzy Graphs with Application to Decision-Making. Math. Comput. Appl. 2020, 25, 8.

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