期刊
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
卷 44, 期 2, 页码 3071-3077出版社
IOS PRESS
DOI: 10.3233/JIFS-220987
关键词
Fuzzy Graph; Fuzzy Dominating Sets; Fuzzy Domination Number
This paper studies the fuzzy dominating sets and their properties in fuzzy graphs, and determines the fuzzy domination number for some graphs.
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.
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