Fundamental Group of LB-Valued General Fuzzy Automata

Kh. Abolpour and A. Borumand Saeid
Additional contact information
Kh. Abolpour: Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
A. Borumand Saeid: Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 02, 545-558

Abstract: This study aims to investigate LB-valued GFA from algebraic and topological perspectives, where L stands for residuated lattice and B is a set of propositions about the general fuzzy automata, in which its underlying structure is a complete infinitely distributive lattice. Further, the concepts of LB-valued general fuzzy automata (or simply LB-valued GFA) contractible spaces, LB-valued GFA path homotopy, LB-valued GFA retraction, LB-valued GFA deformation retraction, LB-valued GFA path connected space and LB-valued GFA homotopy equivalent space are introduced and explicated. In addition, LB-valued GFA fundamental groups are proposed and studied. Regarding these issues, some properties are also established and explained.

Keywords: LB-valued general fuzzy automata; homotopy; connected; retraction; contractible; fundamental group (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S1793005722500272
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:18:y:2022:i:02:n:s1793005722500272

Ordering information: This journal article can be ordered from

DOI: 10.1142/S1793005722500272

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 ().