Developing Complementary Rough Inclusion Functions
We continue the formal development of rough inclusion functions (RIFs), continuing the research on the formalization of rough sets [15] – a well-known tool of modelling of incomplete or partially unknown information. In this article we give the formal characterization of complementary RIFs, followin...
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| Format: | Article |
| Language: | English |
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Sciendo
2020-04-01
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| Series: | Formalized Mathematics |
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| Online Access: | https://doi.org/10.2478/forma-2020-0009 |
| Summary: | We continue the formal development of rough inclusion functions (RIFs), continuing the research on the formalization of rough sets [15] – a well-known tool of modelling of incomplete or partially unknown information. In this article we give the formal characterization of complementary RIFs, following a paper by Gomolińska [4]. We expand this framework introducing Jaccard index, Steinhaus generate metric, and Marczewski-Steinhaus metric space [1]. This is the continuation of [9]; additionally we implement also parts of [2], [3], and the details of this work can be found in [7]. |
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| ISSN: | 1426-2630 1898-9934 |