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Keywords = edge irregular spherical fuzzy graphs

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32 pages, 1428 KB  
Article
Spherical Fuzzy Graphs with Application to Decision-Making
by Muhammad Akram, Danish Saleem and Talal Al-Hawary
Math. Comput. Appl. 2020, 25(1), 8; https://doi.org/10.3390/mca25010008 - 20 Jan 2020
Cited by 49 | Viewed by 4962
Abstract
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 [...] Read more.
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. Full article
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