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Intuitionistic single-valued neutrosophic hypergraphs

Author

Listed:
  • Muhammad Akram

    (University of the Punjab)

  • Anam Luqman

    (University of the Punjab)

Abstract

The concept of neutrosophic sets can be utilized as a mathematical tool to deal with imprecise and unspecified information. It is more convenient to apply single-valued neutrosophic sets rather than neutrosophic sets. In this paper, we discuss the concepts of intuitionistic single-valued neutrosophic hypergraphs and dual intuitionistic single-valued neutrosophic hypergraphs. We discuss the notion of $$(\eta , \phi , \psi )$$ ( η , ϕ , ψ ) -level hypergraphs, tempered intuitionistic single-valued neutrosophic hypergraphs and transversal of intuitionistic single-valued neutrosophic hypergraphs. We also describe an application of intuitionistic single-valued neutrosophic hypergraphs in clustering problem.

Suggested Citation

  • Muhammad Akram & Anam Luqman, 2017. "Intuitionistic single-valued neutrosophic hypergraphs," OPSEARCH, Springer;Operational Research Society of India, vol. 54(4), pages 799-815, December.
    • Handle: RePEc:spr:opsear:v:54:y:2017:i:4:d:10.1007_s12597-017-0306-9
    DOI: 10.1007/s12597-017-0306-9
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    Cited by:

    1. Anam Luqman & Muhammad Akram & Ali N. A. Koam, 2019. "Granulation of Hypernetwork Models under the q -Rung Picture Fuzzy Environment," Mathematics, MDPI, vol. 7(6), pages 1-25, June.
    2. Kilic, Huseyin Selcuk & Yalcin, Ahmet Selcuk, 2021. "Comparison of municipalities considering environmental sustainability via neutrosophic DEMATEL based TOPSIS," Socio-Economic Planning Sciences, Elsevier, vol. 75(C).

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