Abstract
This study aims to investigate [Formula: see text]-valued GFA from algebraic and topological perspectives, where [Formula: see text] 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 [Formula: see text]-valued general fuzzy automata (or simply [Formula: see text]-valued GFA) contractible spaces, [Formula: see text]-valued GFA path homotopy, [Formula: see text]-valued GFA retraction, [Formula: see text]-valued GFA deformation retraction, [Formula: see text]-valued GFA path connected space and [Formula: see text]-valued GFA homotopy equivalent space are introduced and explicated. In addition, [Formula: see text]-valued GFA fundamental groups are proposed and studied. Regarding these issues, some properties are also established and explained.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
