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L-fuzzy generalized neighborhood system operator-based L-fuzzy approximation operators.
- Source :
-
International Journal of General Systems . May2021, Vol. 50 Issue 4, p458-484. 27p. - Publication Year :
- 2021
-
Abstract
- In this paper, we investigate the axiomatic characterizations on L-fuzzy approximation operators based on L-fuzzy generalized neighborhood system operators. In detail, we use single axioms to characterize each kind of L-fuzzy approximation operators corresponding to serial, reflexive, weak-unary and weak-transitive L-fuzzy generalized neighborhood system operators as well as any of their compositions. Moreover, we give the necessary and sufficient condition for that L-interior (L-closure) operators that is the same as L-fuzzy lower (upper) approximation operators constructed by the reflexive and weak-transitive L-fuzzy generalized neighborhood system operators. Finally, we discuss the relationship between L-fuzzy approximation operators based on L-fuzzy generalized neighborhood system operators and L-topologies. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NEIGHBORHOODS
*AXIOMATIC design
*AXIOMS
Subjects
Details
- Language :
- English
- ISSN :
- 03081079
- Volume :
- 50
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of General Systems
- Publication Type :
- Academic Journal
- Accession number :
- 150389796
- Full Text :
- https://doi.org/10.1080/03081079.2021.1917565