Numerical Characterizations of Topological Reductions of Covering Information Systems in Evidence Theory
The reductions of covering information systems in terms of covering approximation operators are one of the most important applications of covering rough set theory. Based on the connections between the theory of topology and the covering rough set theory, two kinds of topological reductions of cover...
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| Vydáno v: | Mathematical problems in engineering Ročník 2021; s. 1 - 9 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
New York
Hindawi
31.03.2021
John Wiley & Sons, Inc |
| Témata: | |
| ISSN: | 1024-123X, 1563-5147 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | The reductions of covering information systems in terms of covering approximation operators are one of the most important applications of covering rough set theory. Based on the connections between the theory of topology and the covering rough set theory, two kinds of topological reductions of covering information systems are discussed in this paper, which are characterized by the belief and plausibility functions from the evidence theory. The topological spaces by two pairs of covering approximation operators in covering information systems are pseudo-discrete, which deduce partitions. Then, using plausibility function values of the sets in the partitions, the definitions of significance and relative significance of coverings are presented. Hence, topological reduction algorithms based on the evidence theory are proposed in covering information systems, and an example is adopted to illustrate the validity of the algorithms. |
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| Bibliografie: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 1024-123X 1563-5147 |
| DOI: | 10.1155/2021/6648108 |