in this paper, we define the concepts of a complex fuzzy subset and a complex fuzzy finite state automaton. then we extend the notion of a complex fuzzy finite state automaton and introduce the notion of a general complex fuzzy automaton. after that we define the concept of a max- min general complex fuzzy automaton and construct some equivalence relations and some congruence relations in a max...

Chaudhari S. R. ,Komejwar D. D. , On Fuzzy Pushdown Automata and their covering , International Journal of Computer Applications Vol. 46(8),2012 pp 27-33 Comon H. ,Dauchet M. ,Gilleron R. ,Jacquemard F. , Lugiez D. ,Loding C. ,Tison S. , and Tommasi M. , Tree Automata: techniques and apllications. (2007) Lee E. T. Fuzzy tree automata and syntactic pattern recognition, IEEE Trans Pattern Anal Ma...

Automata-based methods have been successfully employed to prove tight complexity bounds for reasoning in many classical logics, and in particular in Description Logics (DLs). Very recently, the ideas behind these automata-based approaches were adapted for reasoning also in fuzzy extensions of DLs, with semantics based either on finitely many truth degrees or the Gödel t-norm over the interval [...

We study three notions of directability of fuzzy automata akin to the D1-, D2and D3-directability of nondeterministic automata. Thus an input word w of a fuzzy automaton is D1-directing if a fixed single state is reachable by w from all states, D2-directing if exactly the same states are reachable by w from every state, and D3-directing if there is a state reachable by w from every state. We st...

the purpose of the present work is to introduce the concept of bifuzzy core of a fuzzy automaton, which induces a bifuzzy topology on the state-set of this fuzzy automaton. this is shown that this bifuzzy topology can be used to characterize the concepts such as bifuzzy family of submachines, bifuzzy separable family and bifuzzy retrievable family of a fuzzy automaton.

anti-lock braking system (abs) is a nonlinear and time varying system including uncertainty, so it cannot be controlled by classic methods. intelligent methods such as fuzzy controller are used in this area extensively; however traditional fuzzy controller using simple type-1 fuzzy sets may not be robust enough to overcome uncertainties. for this reason an interval type-2 fuzzy controller is de...

This paper introduces Fuzzy State Automata for control applications. They are derived from the integration of traditional nite state automata and neuro-fuzzy systems, where a nite state automaton tracks the state of the plant under control and modiies the characteristic of the neuro-fuzzy system accordingly. The main diierence with respect to existing systems is that the states of the automata ...

In modelling applied problems only partial informations may be known (or) there may be a degree of uncertainty in the parameters used in the model or some measurements may be imprecise. Due to such features, we are tempted to consider the study of functional equations in the fuzzy settings. For the last 40 years, the fuzzy theory has become a very active area of research and a lot of developmen...