Interval-valued fuzzy line graphs

被引：50
|
作者：
Akram, Muhammad [1 ]
机构：
[1] Univ Punjab, Coll Informat Technol, Lahore 54000, Pakistan
来源：
NEURAL COMPUTING & APPLICATIONS | 2012年 / 21卷
关键词：
Interval-valued fuzzy sets; Interval-valued fuzzy graph; Interval-valued fuzzy line graph; Isomorphism; Applications; SETS; INFERENCE;
D O I：
10.1007/s00521-011-0733-0
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we introduce the concept of interval-valued fuzzy line graphs and discuss some of their properties. We prove a necessary and sufficient condition for an interval-valued fuzzy graph to be isomorphic to its corresponding interval-valued fuzzy line graph. We determine when an isomorphism between two investigate fuzzy graphs follows from an isomorphism of their corresponding investigate fuzzy line graphs. We state some applications of interval-valued fuzzy line graphs in database theory, expert systems, neural networks, decision making problems, and geographical information systems.
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页码：S145 / S150
页数：6
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