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Interval valued m-polar fuzzy planar graph and its application
Artificial Intelligence Review ( IF 12.0 ) Pub Date : 2020-08-02 , DOI: 10.1007/s10462-020-09879-6
Tanmoy Mahapatra , Sankar Sahoo , Ganesh Ghorai , Madhumangal Pal

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.

中文翻译:

区间值m极模糊平面图及其应用

本文介绍了区间值m极模糊(IVmPF)图的一个新思想,并研究了它的一些性质。在这里,提出了 IVmPF 多集、区间值 m 极模糊 (IVmPF) 多图。还引入了区间值 m 极模糊 (IVmPF) 平面图的 IVmPF 平面值以及平面度值来测量区间值 m 极模糊 (IVmPF) 图的平面度值。给出了完备的IVmPF图、强IVmPF图、强边、IVmPF平面图的面等相关术语。本文还描述了与IVmPF平面图密切相关的IVmPF对偶图。在 IVmPF 对偶图上研究了一些重要的性质。最后,讨论了 IVmPF 平面图的实际应用,以展示其实用性。
更新日期:2020-08-02
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