In this note, by considering the notions of the intuitionistic general L-fuzzy automaton and $(alpha, beta)$-language, we show that for any $(alpha, beta)$-language $mathcal{L}$, there exists a minimal intuitionistic general L-fuzzy automaton recognizing $mathcal{L}$.We prove that the minimal intuitionistic general L-fuzzy automaton is isomorphic with threshold $(alpha,beta)$ to any $(alpha, be...

For a givenweighted finite automaton over a strong bimonoid we construct its reducedNerode automaton, which is crisp-deterministic and equivalent to the original weighted automaton with respect to the initial algebra semantics.We show that the reducedNerode automaton is even smaller than theNerode automaton, which was previously used in determinization related to this semantics. We determine ne...

in this note, by considering the notions of the intuitionistic general l-fuzzy automaton and $(alpha, beta)$-language, we show that for any $(alpha, beta)$-language $mathcal{l}$, there exists a minimal intuitionistic general l-fuzzy automaton recognizing $mathcal{l}$.we prove that the minimal intuitionistic general l-fuzzy automaton is isomorphic with threshold $(alpha,beta)$ to any $(alpha, be...

We discuss topological issues that arise when diier-ential equations and nite automata interact (hybrid systems). In particular, we examine topologies for achieving continuity of maps from a set of measurements of continuous dynamics to a nite set of input symbols and from a nite set of output symbols into the control space for those continuous dynamics. Finding some anomalies in completing thi...

There is a common perception that snowflakes are 6-sided and a common quip that "no two snowflakes are alike". The 6-fold symmetry suggests that the growth is deterministic, while the differences suggest the growth is so sensitive to conditions that remarkable variety appears. We investigate fuzzy automata that give a great diversity of growth patterns, have sensitivity to background conditions...

In this paper, traditional methods of edge detection and their problems are discussed. After that high performance method for edge detection that is fuzzy logic based image processing is used for accurate and noise free edge detection and Cellular Learning Automata (CLA) is used for enhance the previously-detected edges with the help of the repeatable and neighborhood-considering nature of CLA....