Interval-Valued Fuzzy Graphs

被引：1
|
作者：
Pramanik, Tarasankar [1 ]
Samanta, Sovan [2 ]
Pal, Madhumangal [3 ]
机构：
[1] Khanpur Gangche High Sch, Dept Math, Midnapore 721201, India
[2] Tamralipta Mahavidyalaya, Dept Math, Tamluk, India
[3] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore, India
来源：
INTERNATIONAL JOURNAL OF FUZZY LOGIC AND INTELLIGENT SYSTEMS | 2020年 / 20卷 / 04期
关键词：
Sum distance; Eccentricity; Interval-valued fuzzy graphs; ARCS;
D O I：
10.5391/IJFIS.2020.20.4.316
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Interval-valued fuzzy graphs (IVFGs) are a generalization of fuzzy graphs. In this article, the sum distance between vertices in an IVFG is introduced. This definition satisfies the metric properties. In addition, some important aspects related to eccentricity, radius, and diameter are proved. The necessary and sufficient conditions for a vertex to be eccentric are established. The relationship between eccentricities and the sum distance between two vertices is derived. An algorithm is presented to determine the sum distance between two vertices in interval-valued fuzzy graphs. Furthermore, some related theorems for the complete IVFG are deduced.
引用
收藏
页码：316 / 323
页数：8
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