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L-fuzzy covering rough sets based on complete co-residuated lattice.
- Source :
- International Journal of Machine Learning & Cybernetics; Aug2023, Vol. 14 Issue 8, p2815-2829, 15p
- Publication Year :
- 2023
-
Abstract
- For L = (L , ⊙ , ⇝) a complete co-residuated lattice, the notions of ⊙ -subsethood degree and ⇝ -intersection degree between L-fuzzy sets are defined. It is shown that these notions reasonably extend the notions of subset and intersection between crisp sets. Then by using ⊙ -subsethood degree and ⇝ -intersection degree, a new model of L-fuzzy covering based L-fuzzy rough sets is investigated and studied. Firstly, a pair of L-fuzzy lower and upper approximation operators are constructed and their fundamental properties are discussed. Secondly, an axiom set or even a single axiom is presented to characterize the proposed approximate operators. Thirdly, the L-fuzzy topology and L-fuzzy co-topology induced by the L-fuzzy lower and upper approximation operators are researched, respectively. At last, the relationships between the new model and Qiao's L-fuzzy relation based rough sets are established. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18688071
- Volume :
- 14
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- International Journal of Machine Learning & Cybernetics
- Publication Type :
- Academic Journal
- Accession number :
- 164373101
- Full Text :
- https://doi.org/10.1007/s13042-023-01800-1