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Interval valued m-polar fuzzy planar graph and its application

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Abstract

In this article, a new idea of interval-valued m-polar fuzzy (IVmPF) graph is introduced and investigated some of it’s properties. Here, IVmPF multiset, interval-valued m-polar fuzzy (IVmPF) multi graph are presented. IVmPF planar value of an interval-valued m-polar fuzzy (IVmPF) planar graph along with degree of planarity value is also introduced to measure the planarity value of an interval-valued m-polar fuzzy (IVmPF) graph. Some related terms like complete IVmPF graph, strong IVmPF graph, strong edges, faces of IVmPF planar graph are presented. In this paper, IVmPF dual graph is also described which is closely related to IVmPF planar graph. Some important properties are studied on IVmPF dual graph. Lastly, a real life application on IVmPF planar graph has been discussed to show its practicability.

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Acknowledgements

The authors are grateful to the learned reviewers for their valuable comments and suggestions to improve the quality of the article. Financial support of first author offered by University Grants commission, New Delhi, India (UGC Ref.No:1215/CSIR-UGC NET DEC.2016) is thankfully acknowledged.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    Tanmoy Mahapatra, Sankar Sahoo, Ganesh Ghorai & Madhumangal Pal

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  1. Tanmoy Mahapatra
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  2. Sankar Sahoo
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  3. Ganesh Ghorai
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  4. Madhumangal Pal
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Correspondence to Ganesh Ghorai.

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Mahapatra, T., Sahoo, S., Ghorai, G. et al. Interval valued m-polar fuzzy planar graph and its application. Artif Intell Rev 54, 1649–1675 (2021). https://doi.org/10.1007/s10462-020-09879-6

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