JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (2): 51-56.doi: 10.6040/j.issn.1671-9352.0.2018.372

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RL-fuzzy topology and the related fuzzy compactness

LI Hong-yan1, LI Qing-hua2   

  1. 1. School of Mathematics and Information Science, Shandong Technology and Business University, Yantai 264005, Shandong, China;
    2. School of Mathematics and Information Science, Yantai University, Yantai 264005, Shandong, China
  • Published:2019-02-25

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Abstract: The concept of pseudo-complement on an L-subset A is defined and studied, where L is a completely distributive De Morgan algebra. Based on this new concept, the definition of RL-fuzzy topology on A is introduced. The L-fuzzy topology in sense of Kubiak and Šostak and the RL-topology on A are special cases of this kind of topology. The RL-fuzzy compactness of RL-fuzzy topological spaces is further studied. The union of two RL-fuzzy compact sets is RL-fuzzy compact. The intersection of an RL-fuzzy compact set and an RL-fuzzy closed set is RL-fuzzy compact. The RL-fuzzy compactness is an invariant under RL-fuzzy continuous maps.

Key words: RL-topology, RL-fuzzy topology, RL-fuzzy compactness, RL-fuzzy continuous

CLC Number: 

  • O141.1
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