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Keyword: Ion Channels (22)	22 Mar 2025	Run
Keyword: Contractible (1)	22 Mar 2025	Run
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articleNo Access
Fundamental Group of $L^{B}$ $L^{B}$ -Valued General Fuzzy Automata
- Kh. Abolpour and
- A. Borumand Saeid
New Mathematics and Natural Computation06 Oct 2021
Preview Abstract
This study aims to investigate $L^{B}$ $L^{B}$ -valued GFA from algebraic and topological perspectives, where $L$ $L$ 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 $L^{B}$ $L^{B}$ -valued general fuzzy automata (or simply $L^{B}$ $L^{B}$ -valued GFA) contractible spaces, $L^{B}$ $L^{B}$ -valued GFA path homotopy, $L^{B}$ $L^{B}$ -valued GFA retraction, $L^{B}$ $L^{B}$ -valued GFA deformation retraction, $L^{B}$ $L^{B}$ -valued GFA path connected space and $L^{B}$ $L^{B}$ -valued GFA homotopy equivalent space are introduced and explicated. In addition, $L^{B}$ $L^{B}$ -valued GFA fundamental groups are proposed and studied. Regarding these issues, some properties are also established and explained.

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