Regular bipolar fuzzy graphs

被引：75
|
作者：
Akram, Muhammad [1 ]
Dudek, Wieslaw A. [2 ]
机构：
[1] Univ Punjab, Coll Informat Technol, Lahore 54000, Pakistan
[2] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland
来源：
NEURAL COMPUTING & APPLICATIONS | 2012年 / 21卷
关键词：
Bipolar fuzzy sets; Bipolar fuzzy graphs; Bipolar fuzzy line graphs; Regular bipolar fuzzy graphs; Totally regular bipolar fuzzy graphs; ARCS;
D O I：
10.1007/s00521-011-0772-6
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We introduce the concepts of regular and totally regular bipolar fuzzy graphs. We prove necessary and sufficient condition under which regular bipolar fuzzy graph and totally bipolar fuzzy graph are equivalent. We introduce the notion of bipolar fuzzy line graphs and present some of their properties. We state a necessary and sufficient condition for a bipolar fuzzy graph to be isomorphic to its corresponding bipolar fuzzy line graph. We examine when an isomorphism between two bipolar fuzzy graphs follows from an isomorphism of their corresponding bipolar fuzzy line graphs.
引用
收藏
页码：S197 / S205
页数：9
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