Abstract
Abstract
By making use of fuzzy inclusion order, the notions of bases (subbases) for three enriched L-topologies including stratified L-topologies, strong L-topologies and Alexandrov L-topologies, are presented. Some characterizations for these notions are given. The results exhibit many different features from the base (subbase) in L-topologies. Some non-trivial examples including a base for the topologically generated (stratified, strong) L-topologies and a base for the Alexandrov L-topologies derived from L-fuzzy rough sets, are constructed. At last, an application in open and continuous functions is offered.
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References
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8.
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10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
L. Li and Q. Jin, Lattice-Valued Convergence Spaces: Weaker Regularity and p-Regularity, Abstract and Applied Analysis, Volume 2014, Article ID 328153, 11 pages
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.