A Novel Method to Compute the Membership Value of the States of Fuzzy Automata

Fuzzy Automata as Coalgebras

“…Fuzzy automata have been studied from different aspects. In order to study behavior control, a novel method to compute the membership values of the next states of a fuzzy automaton with an averaging function between the membership value of the input, and the membership value of the current state is proposed in [11]; the behaviors of lattice-valued nondeterministic fuzzy automata are compared through two language equivalence relations which have different discriminating power in [12]. Categories of deterministic fuzzy automata and fuzzy languages based on a complete residuated lattice with zero divisors are introduced in [13], a common framework for fuzzy type automata is developed in relationships with morphisms of monads in [14], and the concept of fuzzy regular language accepted by fuzzy finite automata is purposed in [15].…”