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Soft Rough Neutrosophic Influence Graphs with Application

Author

Listed:
  • Hafsa Masood Malik

    (Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan)

  • Muhammad Akram

    (Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan)

  • Florentin Smarandache

    (University of New Mexico Mathematics & Science Department 705 Gurley Ave., Gallup, NM 87301, USA)

Abstract

In this paper, we apply the notion of soft rough neutrosophic sets to graph theory. We develop certain new concepts, including soft rough neutrosophic graphs, soft rough neutrosophic influence graphs, soft rough neutrosophic influence cycles and soft rough neutrosophic influence trees. We illustrate these concepts with examples, and investigate some of their properties. We solve the decision-making problem by using our proposed algorithm.

Suggested Citation

  • Hafsa Masood Malik & Muhammad Akram & Florentin Smarandache, 2018. "Soft Rough Neutrosophic Influence Graphs with Application," Mathematics, MDPI, vol. 6(7), pages 1-37, July.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:7:p:125-:d:158682
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    References listed on IDEAS

    as
    1. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 4.
    2. Sunil Mathew & John N. Mordeson, 2017. "Fuzzy Influence Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 311-325, November.
    3. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 3.
    4. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 2.
    5. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 2.
    6. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 4.
    7. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 3.
    8. Editorial Article, 0. "The Information for Authors," Economics of Contemporary Russia, Regional Public Organization for Assistance to the Development of Institutions of the Department of Economics of the Russian Academy of Sciences, issue 1.
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