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Double Domination and Regular Domination in Intuitionistic Fuzzy Hypergraph

Author

Listed:
  • P. Aruna Sri
  • N. Thamaraikannan
  • K. Loganathan
  • Dinesh Kumar Chaudhary

Abstract

This study investigates the domination, double domination, and regular domination in intuitionistic fuzzy hypergraph (IFHG), which has enormous application in computer science, networking, chemical, and biological engineering. Few properties of double domination and regular domination of IFHG are established. Furthermore, the definitions of complement and independent set of IFHG are given. The relation between the domination of an IFHG and the independent set of its complement was discussed. Moreover, the application of the double domination in the IFHG was illustrated by determining the containment zones for epidemic situations like COVID‐19.

Suggested Citation

  • P. Aruna Sri & N. Thamaraikannan & K. Loganathan & Dinesh Kumar Chaudhary, 2022. "Double Domination and Regular Domination in Intuitionistic Fuzzy Hypergraph," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:1436194
    DOI: 10.1155/2022/1436194
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    References listed on IDEAS

    as
    1. Zehui Shao & Saeed Kosari & Hossein Rashmanlou & Muhammad Shoaib, 2020. "New Concepts in Intuitionistic Fuzzy Graph with Application in Water Supplier Systems," Mathematics, MDPI, vol. 8(8), pages 1-17, July.
    2. Enrico Enriquez & Grace Estrada & Carmelita Loquias & Reuella J Bacalso & Lanndon Ocampo, 2021. "Domination in Fuzzy Directed Graphs," Mathematics, MDPI, vol. 9(17), pages 1-14, September.
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