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Regularity in Vague Intersection Graphs and Vague Line Graphs

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  • Muhammad Akram
  • Wieslaw A. Dudek
  • M. Murtaza Yousaf

Abstract

Fuzzy graph theory is commonly used in computer science applications, particularly in database theory, data mining, neural networks, expert systems, cluster analysis, control theory, and image capturing. A vague graph is a generalized structure of a fuzzy graph that gives more precision, flexibility, and compatibility to a system when compared with systems that are designed using fuzzy graphs. In this paper, we introduce the notion of vague line graphs, and certain types of vague line graphs and present some of their properties. We also discuss an example application of vague digraphs.

Suggested Citation

  • Muhammad Akram & Wieslaw A. Dudek & M. Murtaza Yousaf, 2014. "Regularity in Vague Intersection Graphs and Vague Line Graphs," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, April.
  • Handle: RePEc:hin:jnlaaa:525389
    DOI: 10.1155/2014/525389
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    Cited by:

    1. Singh, Prem Kumar, 2019. "Vague concept lattice reduction using granular computing and vague entropy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 165(C), pages 56-73.
    2. Yongsheng Rao & Ruxian Chen & Pu Wu & Huiqin Jiang & Saeed Kosari, 2021. "A Survey on Domination in Vague Graphs with Application in Transferring Cancer Patients between Countries," Mathematics, MDPI, vol. 9(11), pages 1-19, May.

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