A study on bipolar fuzzy graphs

被引:129
|
作者
Rashmanlou, Hossein [1 ]
Samanta, Sovan [2 ]
Pal, Madhumangal [3 ]
Borzooei, Rajab Ali [4 ]
机构
[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Tehran, Iran
[2] Joykrishnapur High Sch HS, Dept Math, Tamluk, India
[3] Vidyasagar Univ, Dept Appl Math Oceanol & Comp Programming, Midnapore, India
[4] Shahid Beheshti Univ Med Sci, Dept Math, Tehran, Iran
关键词
Bipolar fuzzy graph; direct product; strong product; ring sum;
D O I
10.3233/IFS-141333
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Recently, bipolar fuzzy graph is a growing research topic as it is the generalization of fuzzy graphs. In this paper, at first we define three new operations on bipolar fuzzy graphs, viz. direct product, semi strong product and strong product. Likewise, sufficient conditions for each one of them to be complete are given. Also, it is proved that any of the products of strong bipolar fuzzy graphs are strong bipolar fuzzy graphs.
引用
收藏
页码:571 / 580
页数:10
相关论文
共 50 条
  • [31] Domination of Bipolar Fuzzy Graphs in Various Settings
    Gong, Shu
    Hua, Gang
    Gao, Wei
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2021, 14 (01)
  • [32] Novel concepts of bipolar fuzzy competition graphs
    Sarwar, Musavarah
    Akram, Muhammad
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 54 (1-2) : 511 - 547
  • [33] Energy of double dominating bipolar fuzzy graphs
    Muhammad Akram
    Danish Saleem
    Bijan Davvaz
    [J]. Journal of Applied Mathematics and Computing, 2019, 61 : 219 - 234
  • [34] Total domination in various bipolar fuzzy graphs
    Ambika, P.
    Umamageswari, D.
    Nithya, M.
    [J]. Materials Today: Proceedings, 2021, 47 : 2107 - 2112
  • [35] MEASUREMENT OF PLANARITY IN PRODUCT BIPOLAR FUZZY GRAPHS
    Naz, Sumera
    Ashraf, Samina
    Rashmanlou, Hossein
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (02): : 339 - 350
  • [36] Total domination in various bipolar fuzzy graphs
    Ambika, P.
    Umamageswari, D.
    Nithya, M.
    [J]. MATERIALS TODAY-PROCEEDINGS, 2021, 47 : 2107 - 2112
  • [37] f-morphism on bipolar fuzzy graphs
    Tahmasbpour, A.
    Borzooei, R. A.
    Rashmanlou, Hossein
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (02) : 651 - 658
  • [38] Application of Bipolar Fuzzy Sets in Planar Graphs
    Akram M.
    Samanta S.
    Pal M.
    [J]. International Journal of Applied and Computational Mathematics, 2017, 3 (2) : 773 - 785
  • [39] Certain Types of Product Bipolar Fuzzy Graphs
    Ghorai G.
    Pal M.
    [J]. International Journal of Applied and Computational Mathematics, 2017, 3 (2) : 605 - 619
  • [40] Energy of double dominating bipolar fuzzy graphs
    Akram, Muhammad
    Saleem, Danish
    Davvaz, Bijan
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2019, 61 (1-2) : 219 - 234