On Algebraic and Topological Aspects of ILF-Automata

Mausam Kumari (), Swati Yadav, Vijay K. Yadav () and S. P. Tiwari ()
Additional contact information
Mausam Kumari: ��Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindari, District-Ajmer, Rajasthan, India
Swati Yadav: Department of Mathematics & Computing, Indian Institute of Technology, (Indian School of Mines), Dhanbad-826004, India
Vijay K. Yadav: ��Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindari, District-Ajmer, Rajasthan, India
S. P. Tiwari: Department of Mathematics & Computing, Indian Institute of Technology, (Indian School of Mines), Dhanbad-826004, India

New Mathematics and Natural Computation (NMNC), 2023, vol. 19, issue 01, 131-152

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.

Keywords: ILF-sets; ILF-automata; ILF-topology; ILF-subsystem; strong ILF-subsystem; separated ILF-subsystem (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005723500035
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:nmncxx:v:19:y:2023:i:01:n:s1793005723500035

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005723500035

Access Statistics for this article

New Mathematics and Natural Computation (NMNC) is currently edited by Paul P Wang

More articles in New Mathematics and Natural Computation (NMNC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().