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
相关论文
共 50 条
  • [1] On (r; s)-Fuzzy Domination in Fuzzy Graphs
    Arumugam, S.
    Bhutani, Kiran
    Sathikala, L.
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2016, 12 (01) : 1 - 10
  • [2] Domination in fuzzy graphs - I
    Somasundaram, A
    Somasundaram, S
    PATTERN RECOGNITION LETTERS, 1998, 19 (09) : 787 - 791
  • [3] Domination in products of fuzzy graphs
    Somasundaram, A
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2005, 13 (02) : 195 - 204
  • [4] A survey on the domination of fuzzy graphs
    Rana, Akul
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2021, 13 (01)
  • [5] Domination in Pythagorean fuzzy graphs
    Banitalebi, Sadegh
    Borzooei, Rajab Ali
    GRANULAR COMPUTING, 2023, 8 (05) : 959 - 966
  • [6] CONTRACTION AND DOMINATION IN FUZZY GRAPHS
    Ramya, S.
    Lavanya, S.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 (01): : 133 - 142
  • [7] Notes on domination in fuzzy graphs
    Manjusha, O. T.
    Sunitha, M. S.
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2014, 27 (06) : 3205 - 3212
  • [8] Domination in Fuzzy Directed Graphs
    Enriquez, Enrico
    Estrada, Grace
    Loquias, Carmelita
    Bacalso, Reuella J.
    Ocampo, Lanndon
    MATHEMATICS, 2021, 9 (17)
  • [9] Strong Domination in Fuzzy Graphs
    Manjusha, O. T.
    Sunitha, M. S.
    FUZZY INFORMATION AND ENGINEERING, 2015, 7 (03) : 369 - 377
  • [10] Domination in Pythagorean fuzzy graphs
    Sadegh Banitalebi
    Rajab Ali Borzooei
    Granular Computing, 2023, 8 (5) : 959 - 966
12345