Fuzzy domination in fuzzy graphs

被引：0
|
作者：
Lekha, A. [1 ]
Parvathy, K. S. [2 ]
机构：
[1] Maharajas Technol Inst, Dept Math, Trichur, Kerala, India
[2] St Marys Coll, Dept Math, Trichur, Kerala, India
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2023年 / 44卷 / 02期
关键词：
Fuzzy Graph; Fuzzy Dominating Sets; Fuzzy Domination Number;
D O I：
10.3233/JIFS-220987
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Let G = ( V, mu, sigma) be a fuzzy graph on a finite set V. A fuzzy subset mu' of mu is called a fuzzy dominating set of G if, mu' (nu) + Sigma(x is an element of v)(sigma( x, nu)Lambda mu'(x)) >= mu(nu) for every v.is an element of V. Fuzzy domination number.fz is defined accordingly. In this paper we initiate a study of this parameter. Some properties of fuzzy dominating sets are studied and fuzzy domination number.fz is determined for some graphs.
引用
收藏
页码：3071 / 3077
页数：7
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