Based on the concept of fuzzy sets of type 2 (or fuzzy‐fuzzy sets) defined by L. A. Zadeh, fuzzy‐fuzzy automata ate newly formulated and some properties of these automata are investigated. It is shown that fuzzy‐fuzzy languages characterized by fuzzy‐fuzzy automata are closed under the operations of union, intersection, concatenation, and Kleene closure in the sense of fuzzy sets of type 2, but are not closed under complement. The power of fuzzy‐fuzzy automata as an acceptor is the same as that of ordinary fuzzy automata and finite automata, though fuzzy‐fuzzy automata include fuzzy automata and finite automata as special cases. Finally, fuzzy‐fuzzy grammars are illustrated and it is shown that fuzzy‐fuzzy grammars with context‐free rules can generate context‐sensitive languages.
Article navigation
1 February 1976
Review Article|
February 01 1976
FUZZY‐FUZZY AUTOMATA
M. MIZUMOTO;
M. MIZUMOTO
Department of Information and Computer Sciences, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan
Search for other works by this author on:
K. TANAKA
K. TANAKA
Department of Information and Computer Sciences, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka 560, Japan
Search for other works by this author on:
Publisher: Emerald Publishing
Online ISSN: 1758-7883
Print ISSN: 0368-492X
© MCB UP Limited
1976
Kybernetes (1976) 5 (2): 107–112.
Citation
MIZUMOTO M, TANAKA K (1976), "FUZZY‐FUZZY AUTOMATA". Kybernetes, Vol. 5 No. 2 pp. 107–112, doi: https://doi.org/10.1108/eb005415
Download citation file:
Sign in
Don't already have an account? Register
ICE Member Sign In
Log inPurchased this content as a guest? Enter your email address to restore access.
Please enter valid email address.
Email address must be 94 characters or fewer.
Pay-Per-View Access
$41.00
Rental
This article is also available for rental through DeepDyve.
New and popular articles
Suggested Reading
Automatic programming of cellular automata: identification approach
Kybernetes (March,1997)
An approach for learning from robots using formal languages and automata
Industrial Robot (June,2019)
ON TOLERATING AUTOMATA
Kybernetes (March,1981)
COST AUTOMATA, OPTIMALITY AND TOLERANCE
Kybernetes (January,1982)
Abstract neural automata
Kybernetes (February,1998)
Related Chapters
Simulating the degradation and maintenance effects on an integrated urban transport infrastructure system
Transforming the Future of Infrastructure through Smarter Information: Proceedings of the International Conference on Smart Infrastructure and ConstructionConstruction, 27–29 June 2016
Geosimulation, Automata, and Traffic Modeling
Handbook of Transport Geography and Spatial Systems
OVERVIEW OF CONCRETE MODELLING
Applications of Nanotechnology in Concrete Design: Proceedings of the International Conference held at the University of Dundee, Scotland, UK on 7 July 2005
Recommended for you
These recommendations are informed by your reading behaviors and indicated interests.
