Rejection and symmetric difference of bipolar picture fuzzy graph

被引:0
|
作者
Almousa, Maha Mohammed [1 ]
Tchier, Fairouz [1 ]
机构
[1] King Saud Univ, Coll Sci, Dept Math, POB 22452, Riyadh 11495, Saudi Arabia
关键词
bipolar picture fuzzy graph; symmetric difference; rejection; degree of vertex; total degree of vertex;
D O I
10.1515/dema-2023-0107
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Due to the absence of a negative of three membership functions, there are drawbacks to the existing definition of a picture fuzzy graph (PFG). In that definition of bipolar picture fuzzy graph (BPFG), membership function, neutral membership function, nonmembership function, negative of membership function, negative of neutral membership function, and negative of nonmembership function are involved. A BPFG is the extension of PFG. In this manuscript, we present some properties of symmetric difference, and rejection of BPFG.
引用
收藏
页数:21
相关论文
共 50 条
  • [31] Bipolar-valued hesitant fuzzy graph and its application
    Pandey, Sakshi Dev
    Ranadive, A. S.
    Samanta, Sovan
    SOCIAL NETWORK ANALYSIS AND MINING, 2022, 12 (01)
  • [32] Applications of graph's complete degree with bipolar fuzzy information
    Poulik, Soumitra
    Ghorai, Ganesh
    COMPLEX & INTELLIGENT SYSTEMS, 2022, 8 (02) : 1115 - 1127
  • [33] ENERGY OF A BIPOLAR FUZZY GRAPH AND ITS APPLICATION IN DECISION MAKING
    Naz, Sumera
    Ashraf, Samina
    Karaaslan, Faruk
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2018, (40): : 339 - 352
  • [34] Applications of graph’s complete degree with bipolar fuzzy information
    Soumitra Poulik
    Ganesh Ghorai
    Complex & Intelligent Systems, 2022, 8 : 1115 - 1127
  • [35] Chromatic polynomial of a picture fuzzy graph with application in traffic light control
    Abbas, Qamar
    Mustafa, Ghulam
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2024, 70 (02) : 1395 - 1418
  • [36] Chromatic polynomial of a picture fuzzy graph with application in traffic light control
    Qamar Abbas
    Ghulam Mustafa
    Journal of Applied Mathematics and Computing, 2024, 70 : 1395 - 1418
  • [37] Utilizing lexicographic max product of picture fuzzy graph in human trafficking
    Liu, Peide
    Asim, Mudasser Hussain
    Ali, Sikander
    Azeem, Muhammad
    Almohsen, Bandar
    AIN SHAMS ENGINEERING JOURNAL, 2024, 15 (11)
  • [38] Bipolar interval-valued fuzzy set in graph and hypergraph settings
    Gong, Shu
    Hua, Gang
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 44 (02) : 1755 - 1767
  • [39] A study on bipolar fuzzy planar graph and its application in image shrinking
    Pramanik, Tarasankar
    Pal, Madhumangal
    Mondal, Sukumar
    Samanta, Sovan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (03) : 1863 - 1874
  • [40] Some properties of regular picture fuzzy graph with application in social network analysis
    Bera, Biswajit
    Banerjee, Avisek
    Khatun, Jasminara
    Amanathulla, Sk
    Pal, Madhumangal
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025, : 2959 - 2982