Textures and fuzzy unit operations in rough set theory: An approach to fuzzy rough set models
| Autor: | Murat Diker |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Fuzzy classification
Mathematics::General Mathematics Logic 05 social sciences Fuzzy set 050301 education 02 engineering and technology Fuzzy subalgebra Defuzzification Fuzzy logic ComputingMethodologies_PATTERNRECOGNITION Artificial Intelligence Fuzzy mathematics 0202 electrical engineering electronic engineering information engineering Fuzzy set operations Fuzzy number 020201 artificial intelligence & image processing ComputingMethodologies_GENERAL 0503 education Algorithm Mathematics |
| Zdroj: | Fuzzy Sets and Systems. 336:27-53 |
| ISSN: | 0165-0114 |
| DOI: | 10.1016/j.fss.2017.06.009 |
| Popis: | In this paper, an approach for the fuzzy rough set models is presented using textures and a fuzzy version of the unit operations of Wybraniec-Skardowska. First, a fuzzy unit operation and fuzzy unit co-operation on fuzzy lattices are defined. It is proved that the well-known fuzzy rough set upper approximations as the approximation of Dubois and Prade are fuzzy unit operation. Using fuzzy direlations, an axiomatic system for fuzzy unit operations is studied and it is shown that fuzzy rough set systems obtained by different fuzzy logical connectives as Kleene-Dienes and Godel implicators can be generated by the same textural fuzzy direlation. Finally, it is observed that the approximations of two different fuzzy rough set models together constitute two different Galois connections. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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