Isotone Galois connections in LB-valued general fuzzy automata

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Abolpour Kh.; Shamsizadeh M.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC HYPERSTRUCTURES AND LOGICAL ALGEBRAS Year:2024 | Volume:5 | Issue:1 Page(s): 143-160

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Information Journal Paper

Title

Isotone Galois connections in LB-valued general fuzzy automata

Author(s)

Abolpour Kh. | Shamsizadeh M. | Issue Writer Certificate

Keywords

LB-valued general fuzzy automata

Isotone Galois connections

Interior and closure operators

Decomposition

Subautomata

Abstract

The present study aimed at investigating the Interior and closure operators which have been characterized by Isotone Galois connections between posets/finite upper semilattices associated with an LB-valued general fuzzy automaton (for simplicity LBvalued GFA). In addition, the existence of Isotone Galois connections between different pairs of posets/finite upper semlattices associated with a given LB-valued GFA was examined and explicated in detail. The properties of Isotone Galois connections were also discussed under some conditions imposed on LB-valued GFA. Further, the Decomposition of an LB-valued general fuzzy automaton was defined and a subautomaton of an LB-valued GFA was characterized in terms of its Decomposition components. We have also demonstrated that the cardinality of set of all Subautomata of an LB-valued general fuzzy automaton is not equal to sum of cardinalities of set of all Subautomata of finite Decomposition components.

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