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Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces

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  • Xiongwei Zhang
  • Ibtesam Alshammari
  • A. Ghareeb
  • Ahmed Mostafa Khalil

Abstract

Based on the concepts of pseudocomplement of L-subsets and the implication operator where L is a completely distributive lattice with order-reversing involution, the definition of countable RL-fuzzy compactness degree and the Lindelöf property degree of an L-subset in RL-fuzzy topology are introduced and characterized. Since L-fuzzy topology in the sense of Kubiak and Šostak is a special case of RL-fuzzy topology, the degrees of RL-fuzzy compactness and the Lindelöf property are generalizations of the corresponding degrees in L-fuzzy topology.

Suggested Citation

  • Xiongwei Zhang & Ibtesam Alshammari & A. Ghareeb & Ahmed Mostafa Khalil, 2021. "Measurement of Countable Compactness and Lindelöf Property in RL-Fuzzy Topological Spaces," Complexity, Hindawi, vol. 2021, pages 1-7, February.
    • Handle: RePEc:hin:complx:6627372
    DOI: 10.1155/2021/6627372
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