4.4 Article

Intuitionistic Fuzzy Planar Graphs

Journal

DISCRETE DYNAMICS IN NATURE AND SOCIETY
Volume 2014, Issue -, Pages -

Publisher

HINDAWI LTD
DOI: 10.1155/2014/397823

Keywords

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Funding

  1. Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah [111/363/1434]
  2. DSR

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Graph theory has numerous applications in modern sciences and technology. Atanassov introduced the concept of intuitionistic fuzzy sets as a generalization of fuzzy sets. Intuitionistic fuzzy set has shown advantages in handling vagueness and uncertainty compared to fuzzy set. In this paper, we apply the concept of intuitionistic fuzzy sets to multigraphs, planar graphs, and dual graphs. We introduce the notions of intuitionistic fuzzy multigraphs, intuitionistic fuzzy planar graphs, and intuitionistic fuzzy dual graphs and investigate some of their interesting properties. We also study isomorphism between intuitionistic fuzzy planar graphs.

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