Notes on "Bipolar fuzzy graphs"

被引：85
|
作者：
Yang, Hai-Long [1 ,2 ]
Li, Sheng-Gang [1 ]
Yang, Wen-Hua [1 ]
Lu, You [3 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Ctr Forecasting Sci, Beijing 100190, Peoples R China
[3] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
来源：
INFORMATION SCIENCES | 2013年 / 242卷
基金：
中国国家自然科学基金;
关键词：
Bipolar fuzzy set; Bipolar fuzzy graph; Strong bipolar fuzzy graph; Self complementary; ARCS;
D O I：
10.1016/j.ins.2013.03.049
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note, we show by examples that Definitions 3.1, 5.6, and 5.7, Example 5.8, Propositions 5.9 and 5.10, and partial proof of Propositions 5.11 and 5.12 in a previous paper by Akram (Muhammad Akram, Bipolar fuzzy graphs, Inform. Sci. 181 (2011) 5548-5564) contain some flaws and then provide the correct versions. Finally, we introduce a generalized bipolar fuzzy graph. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：113 / 121
页数：9
相关论文
共 50 条
  • [1] Bipolar fuzzy graphs
    Akram, Muhammad
    [J]. INFORMATION SCIENCES, 2011, 181 (24) : 5548 - 5564
  • [2] Regular bipolar fuzzy graphs
    Akram, Muhammad
    Dudek, Wieslaw A.
    [J]. NEURAL COMPUTING & APPLICATIONS, 2012, 21 : S197 - S205
  • [3] Bipolar Fuzzy Competition Graphs
    Alshehri, Noura Omair
    Akram, Muhammad
    [J]. ARS COMBINATORIA, 2015, 121 : 385 - 402
  • [4] Regular bipolar fuzzy graphs
    Muhammad Akram
    Wieslaw A. Dudek
    [J]. Neural Computing and Applications, 2012, 21 : 197 - 205
  • [5] Bipolar fuzzy graphs with applications
    Akram, Muhammad
    [J]. KNOWLEDGE-BASED SYSTEMS, 2013, 39 : 1 - 8
  • [6] Domination in Bipolar Fuzzy Graphs
    Karunambigai, M. G.
    Akram, M.
    Palanivel, K.
    Sivasankar, S.
    [J]. 2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013), 2013,
  • [7] Perfect bipolar fuzzy graphs
    Mohideen, Basheer Ahamed
    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (02): : 120 - 128
  • [8] Cayley Bipolar Fuzzy Graphs
    Alshehri, Noura O.
    Akram, Muhammad
    [J]. SCIENTIFIC WORLD JOURNAL, 2013,
  • [9] ANTIPODAL BIPOLAR FUZZY GRAPHS
    Akram, Muhammad
    Li, Sheng-Gang
    Shum, K. P.
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2013, (31): : 97 - 110
  • [10] A study on bipolar fuzzy graphs
    Rashmanlou, Hossein
    Samanta, Sovan
    Pal, Madhumangal
    Borzooei, Rajab Ali
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (02) : 571 - 580
12345