Relations arising from coverings and their topological structures
| Autor: | Zheng Hua, Jiyang Zou, Guilong Liu |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Transitive relation
Binary relation Applied Mathematics 05 social sciences 050301 education Inverse 02 engineering and technology Extension (predicate logic) Topological space Topology Theoretical Computer Science Combinatorics Artificial Intelligence 0202 electrical engineering electronic engineering information engineering Closure operator 020201 artificial intelligence & image processing Rough set Representation (mathematics) 0503 education Software Mathematics |
| Zdroj: | International Journal of Approximate Reasoning. 80:348-358 |
| ISSN: | 0888-613X |
| Popis: | Covering rough sets are an important extension of Pawlak rough sets. This paper studies the relations arising from coverings and their topological structures. Every covering induces a reflexive and transitive relation. We represent the approximate pairs proposed by Ma (2015) 20 with different combinations of a relation and its inverse. Based on this representation, we give the relationship among approximate pairs. We also consider the topological structures induced by these lower approximations and establish the relationship among these topologies. The results show that the approximate pairs can be precisely characterized by a relation and its inverse. Propose a new method to represent the approximate pairs.Characterize the approximate pairs with a relation and its inverse.Study the topological structures induced by the approximate pairs. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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