| $RL$-Topology and the Related Compactness |
| Received:May 28, 2018 Revised:September 01, 2018 |
| Key Words:
pseudo-complement $RL$-topology $RL$-continuous $RL$-compactness
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| Fund Project: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). |
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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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