$RL$-Topology and the Related Compactness
Received:May 28, 2018  Revised:September 01, 2018
Key Word: pseudo-complement   $RL$-topology   $RL$-continuous   $RL$-compactness  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11471297) and a Project of Shandong Province Higher Educational Science and Technology Program (Grant No.J18KA245).
Author NameAffiliation
Hongyan LI School of Mathematics and Information Science, Shandong Technology and Business University, Shandong 264005, P. R. China 
Qinghua LI School of Mathematics and Information Science, Yantai University, Shandong 264005, P. R. China 
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Abstract:
      In this paper, the concept of $RL$-topology on $L$-fuzzy subset $A$ is defined, which makes the $L$-topology become special cases. The definition of $RL$-continuous map between $RL$-ts's is given on the topology. Furthermore, the definition of compactness is introduced by means of an inequality in $RL$-topology, and some properties of compactness are studied.
Citation:
DOI:10.3770/j.issn:2095-2651.2018.06.009
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