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A minimal family of sub-bases. (English) Zbl 1488.54010

Summary: This paper investigates a minimal family of sub-bases. First, the concept of a minimal family of sub-bases is presented and its properties are studied. Then the relationship between reducts in covering information systems and minimal families of sub-bases is discussed. Based on Boolean matrices, an approach is provided to derive a minimal family of sub-bases. Finally, experiments are conducted to illustrate the effectiveness of the proposed approach.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
54B15 Quotient spaces, decompositions in general topology
54C05 Continuous maps
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
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