Interval-valued fuzzy planar graphs

被引：0
|
作者：
Tarasankar Pramanik
Sovan Samanta
Madhumangal Pal
机构：
[1] Vidyasagar University,Department of Applied Mathematics with Oceanology and Computer Programming
来源：
International Journal of Machine Learning and Cybernetics | 2016年 / 7卷
关键词：
Interval-valued fuzzy graphs; Interval-valued fuzzy multigraphs; Interval-valued fuzzy planar graphs;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, interval-valued fuzzy planar graphs are defined and several properties are studied. The interval-valued fuzzy graphs are more efficient than fuzzy graphs, since the degree of membership of vertices and edges lie within the interval [0, 1] instead at a point in fuzzy graphs. We also use the term ‘degree of planarity’ to measures the nature of planarity of an interval-valued fuzzy graph. The other relevant terms such as strong edges, interval-valued fuzzy faces, strong interval-valued fuzzy faces are defined here. The interval-valued fuzzy dual graph which is closely associated to the interval-valued fuzzy planar graph is defined. Several properties of interval-valued fuzzy dual graph are also studied. An example of interval-valued fuzzy planar graph is given.
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页码：653 / 664
页数：11
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