Journal ArticleDOI
The fuzzy GMDH algorithm by possibility models and its application
Isao Hayashi,H. Tanaka +1 more
TLDR
In the fuzzy GMDH, the estimated model by using possibilistic linear regression with a multilayer procedure is a non-linear system with parameters in the form of fuzzy numbers, which can be regarded as fuzzy interval analysis.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1990-06-01. It has received 40 citations till now. The article focuses on the topics: Fuzzy number & Fuzzy set operations.read more
Citations
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Journal ArticleDOI
Interval regression analysis by quadratic programming approach
Hideo Tanaka,H. Lee +1 more
TL;DR: The unified quadratic programming approach obtaining the possibility and necessity regression models simultaneously is proposed and polynomials are considered as regression models since any curve can be represented by the polynomial approximation.
Journal ArticleDOI
An architecture of neural networks with interval weights and its application to fuzzy regression analysis
TL;DR: This paper proposes an architecture of neural networks that have interval weights and interval biases, and develops a learning algorithm derived from the cost function in a similar manner as the BP (Back-Propagation) algorithm.
Journal ArticleDOI
On assessing the H value in fuzzy linear regression
Herbert Moskowitz,Kwang-Jae Kim +1 more
TL;DR: The approach developed and illustrated enables a decision maker's beliefs regarding the shape and range of the possibility distribution of the model to be reflected more systematically, and consequently should yield more reliable and realistic results from fuzzy regression.
Journal ArticleDOI
Modeling of driver's collision avoidance maneuver based on controller switching model
Jong-Hae Kim,Soichiro Hayakawa,Tatsuya Suzuki,K. Hayashi,Shigeru Okuma,Nuio Tsuchida,Masayuki Shimizu,Shigeyuki Kido +7 more
TL;DR: This paper presents a modeling strategy of human driving behavior based on the controller switching model focusing on the driver's collision avoidance maneuver, and finds that the driver appropriately switches the "control law" according to the sensory information.
Journal ArticleDOI
Fuzzy polynomial neural networks: hybrid architectures of fuzzy modeling
TL;DR: The obtained experimental results reveal that the proposed networks exhibit high accuracy and generalization capabilities in comparison to other similar fuzzy models.
References
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Book
Fuzzy Sets and Systems: Theory and Applications
Didier Dubois,Henri Prade +1 more
TL;DR: This book effectively constitutes a detailed annotated bibliography in quasitextbook style of the some thousand contributions deemed by Messrs. Dubois and Prade to belong to the area of fuzzy set theory and its applications or interactions in a wide spectrum of scientific disciplines.
Journal ArticleDOI
Polynomial Theory of Complex Systems
TL;DR: The approach taken in this paper to approximating the decision hypersurface, and hence the input-output relationship of a complex system, is to fit a high-degree multinomial to the input properties using a multilayered perceptronlike network structure.
Journal ArticleDOI
Fuzzy data analysis by possibilistic linear models
TL;DR: Since fuzzy data can be regarded as distribution of possibility, fuzzy data analysis by possibilistic linear models is proposed in this paper and can be considered as fuzzy interval analysis.
Journal ArticleDOI
Fuzzy linear regression and its applications to forecasting in uncertain environment
Behrooz Heshmaty,Abraham Kandel +1 more
TL;DR: A study of the computer and peripheral equipment sales in the United States is discussed using fuzzy linear regression, which is applied to forecasting in an uncertain environment.
Related Papers (5)
Possibilistic linear systems and their application to the linear regression model
H. Tanaka,Junzo Watada +1 more