On Algebraic and Topological Aspects of ILF-Automata

Authors

Mausam Kumari
Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindari, District-Ajmer, Rajasthan 305817, India
Vijay Kumar Yadav
Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindari, District-Ajmer, Rajasthan 305817, India

Synopsis

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.

ICAMCS 2022
Publication
Book of Abstracts of the 2nd International Conference on Applied Mathematics and Computational Sciences (ICAMCS-2022)
PDF
Published
October 10, 2022
Series
AIJR Abstracts
Copyright (c) 2022 held by the author(s) of the individual abstract
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.