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Hypergraphs in m -Polar Fuzzy Environment

Author

Listed:
  • Muhammad Akram

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

  • Gulfam Shahzadi

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

Abstract

Fuzzy graph theory is a conceptual framework to study and analyze the units that are intensely or frequently connected in a network. It is used to study the mathematical structures of pairwise relations among objects. An m -polar fuzzy ( m F, for short) set is a useful notion in practice, which is used by researchers or modelings on real world problems that sometimes involve multi-agents, multi-attributes, multi-objects, multi-indexes and multi-polar information. In this paper, we apply the concept of m F sets to hypergraphs, and present the notions of regular m F hypergraphs and totally regular m F hypergraphs. We describe the certain properties of regular m F hypergraphs and totally regular m F hypergraphs. We discuss the novel applications of m F hypergraphs in decision-making problems. We also develop efficient algorithms to solve decision-making problems.

Suggested Citation

  • Muhammad Akram & Gulfam Shahzadi, 2018. "Hypergraphs in m -Polar Fuzzy Environment," Mathematics, MDPI, vol. 6(2), pages 1-18, February.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:2:p:28-:d:132545
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    References listed on IDEAS

    as
    1. Muhammad Akram & Neha Waseem, 2016. "Certain Metrics in m-Polar Fuzzy Graphs," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 135-155, July.
    2. Musavarah Sarwar & Muhammad Akram, 2017. "Novel Applications of m-Polar Fuzzy Concept Lattice," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 13(03), pages 261-287, November.
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