Showing papers on "Fuzzy number published in 1969"
TL;DR: An explicit expression for the membership function of the language L(G) generated by a fuzzy grammar G is given, and it is shown that any context-sensitive fuzzy grammar is recursive.
322 citations
TL;DR: A class of fuzzy automata is formulated similar to Mealy's formulation of finite automata, which has many properties similar to that of stochastic automata.
Abstract: Based on the concept of fuzzy sets defined by Zadeh, a class of fuzzy automata is formulated similar to Mealy's formulation of finite automata. A fuzzy automaton behaves in a deterministic fashion. However, it has many properties similar to that of stochastic automata. Its application as a model of learning systems is discussed. A nonsupervised learning scheme in automatic control and pattern recognition is proposed with computer simulation results presented. An advantage of employing fuzzy automaton as a learning model is its simplicity in design and computation.
270 citations
TL;DR: Fuzzy logic deals with propositions which may be ascribed values between falsehood and truth subjectively in either a continuous or a discrete fashion.
Abstract: Fuzzy logic deals with propositions which may be ascribed values between falsehood and truth (0 and 1) subjectively in either a continuous or a discrete fashion. This is in contrast to ordinary logic (two-valued or k-valued logic) in which a given proposition is ascribed values objectively using either deterministic or probabilistic approaches.
108 citations
TL;DR: The fuzzy sets of input sequences characterized by fuzzy automata constitute a distributive lattice, and the complement of the fuzzy set can be characterized by an optimistic fuzzy automaton.
81 citations