On Algebraic and Topological Aspects of ILF-Automata
This work is towards 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.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.