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On Algebraic and Topological Aspects of ILF-Automata.
- Source :
-
New Mathematics & Natural Computation . Mar2023, Vol. 19 Issue 1, p131-152. 22p. - Publication Year :
- 2023
-
Abstract
- This work is toward the study of theory of IF-automata based on residuated lattices (ILF-automaton) and to use ILF-topological concepts for study of algebraic concepts therein. We introduce the notion of ILF-subsystems and strong ILF-subsystems of an ILF-automaton and show that these are precisely the ILF-closed sets with respect to the ILF-topologies introduced on state-set of an ILF-automaton. Finally, we study the characterization of separated ILF-subsystem for an ILF-automaton. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RESIDUATED lattices
Subjects
Details
- Language :
- English
- ISSN :
- 17930057
- Volume :
- 19
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- New Mathematics & Natural Computation
- Publication Type :
- Academic Journal
- Accession number :
- 162840214
- Full Text :
- https://doi.org/10.1142/S1793005723500035