Weighted automata extend classical finite automata by assigning weights, typically drawn from algebraic structures such as semirings, to transitions. This quantitative enhancement enables the analysis ...

In this paper we characterize the congruence associated to the direct sum of all irreducible representations of a finite semigroup over an arbitrary field, generalizing results of Rhodes for the field ...

Fuzzy automata extend traditional automata theory by incorporating the principles of fuzzy logic to address uncertainty in computational processes. Unlike classical automata, where transitions are ...