On characteristic semigroup of state ( input ) independent fuzzy automata
نویسنده
چکیده
The present paper concerns with the characteristic semigroup of input independent and state independent fuzzy automaton. Apart from the relationship between input independent and state independent fuzzy automaton, various properties of characteristic semigroups of state independent fuzzy automaton are established. Also, quasi-perfect fuzzy automaton and quasi strongly connected fuzzy automaton are introduced and their properties are discussed. 2010 AMS Classification: 08A72, 68Q70, 68Q45, 03E05
منابع مشابه
DISTINGUISHABILITY AND COMPLETENESS OF CRISP DETERMINISTIC FUZZY AUTOMATA
In this paper, we introduce and study notions like state-\linebreak distinguishability, input-distinguishability and output completeness of states of a crisp deterministic fuzzy automaton. We show that for each crisp deterministic fuzzy automaton there corresponds a unique (up to isomorphism), equivalent distinguished crisp deterministic fuzzy automaton. Finally, we introduce two axioms related...
متن کاملOn Algebraic Study of Type-2 Fuzzy Finite State Automata
Theories of fuzzy sets and type-2 fuzzy sets are powerful mathematical tools for modeling various types of uncertainty. In this paper we introduce the concept of type-2 fuzzy finite state automata and discuss the algebraic study of type-2 fuzzy finite state automata, i.e., to introduce the concept of homomorphisms between two type-2 fuzzy finite state automata, to associate a type-2 fuzzy trans...
متن کاملInformation retrieval from interval-valued fuzzy automata through K operators
Here we study the notions of lattice-valued finite state machine and lattice-valued fuzzy transformation semigroup when the lattice consists of all the closed subintervals contained in [0, 1]. So, we can apply techniques of interval-valued fuzzy sets to fuzzy automata. In particular, we prove that Atanassov’s Kα operators allow us to retrieve the information given by the transition functions of...
متن کاملAn Introduction to Fuzzy State Automata
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 ...
متن کاملTransformation of BL-general Fuzzy Automata
In this paper, we prove that any BL-general fuzzy automaton (BL-GFA) and its quotient have the same behavior. In addition, we obtain the minimal quotient BL-GFA and minimal quotient transformation of the BL-GFA, considering the notion of maximal admissible partition. Furthermore, we show that the number of input symbols and time complexity of the minimal quotient transformation of a BL-GFA are ...
متن کامل