Intuitionistic Fuzzy Planar Graphs

被引：35
|
作者：
Alshehri, Noura [1 ]
Akram, Muhammad [2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci Girls, Dept Math, Jeddah 21413, Saudi Arabia
[2] Univ Punjab, Dept Math, Lahore, Pakistan
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷
关键词：
D O I：
10.1155/2014/397823
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Graph theory has numerous applications in modern sciences and technology. Atanassov introduced the concept of intuitionistic fuzzy sets as a generalization of fuzzy sets. Intuitionistic fuzzy set has shown advantages in handling vagueness and uncertainty compared to fuzzy set. In this paper, we apply the concept of intuitionistic fuzzy sets to multigraphs, planar graphs, and dual graphs. We introduce the notions of intuitionistic fuzzy multigraphs, intuitionistic fuzzy planar graphs, and intuitionistic fuzzy dual graphs and investigate some of their interesting properties. We also study isomorphism between intuitionistic fuzzy planar graphs.
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页数：9
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