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Analysis of Road Map Design Based on Multigraph with Picture Fuzzy Information

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Abstract

In this paper, the picture fuzzy planar graph is defined along with some basic properties of picture fuzzy graph. The notion of picture fuzzy planar graphs is introduced and the terms such as strong (weak) edges, strong (weak) picture fuzzy planar graphs, strength of an edge, degree of planarity, picture fuzzy faces, strong (weak) picture fuzzy faces, picture fuzzy dual graphs and picture fuzzy combinatorial dual graphs are defined. Some theorems on degree of planarity and picture fuzzy combinatorial dual graphs have been established. An application of picture fuzzy planar graph in the design of road maps is given.

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Acknowledgements

The authors are highly grateful to the learned reviewers for their valuable comments and suggestions to improve the quality of the article.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721 102, India

    Sankar Das & Ganesh Ghorai

  2. Department of Mathematics, Kharagpur College, Kharagpur, 721 305, India

    Sankar Das

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  1. Sankar Das
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  2. Ganesh Ghorai
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Correspondence to Ganesh Ghorai.

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Das, S., Ghorai, G. Analysis of Road Map Design Based on Multigraph with Picture Fuzzy Information. Int. J. Appl. Comput. Math 6, 57 (2020). https://doi.org/10.1007/s40819-020-00816-3

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  • DOI: https://doi.org/10.1007/s40819-020-00816-3

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