4.7 Article

Notes on Bipolar fuzzy graphs

Journal

INFORMATION SCIENCES
Volume 242, Issue -, Pages 113-121

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2013.03.049

Keywords

Bipolar fuzzy set; Bipolar fuzzy graph; Strong bipolar fuzzy graph; Self complementary

Funding

  1. Fundamental Research Funds for the Central Universities [GK201102022]
  2. Natural Science Foundation of Shaanxi Province [2010JM1005]
  3. National Natural Science Foundation of China [11071151, 11001158]

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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.

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