DocumentCode
330346
Title
A new resolution of fuzzy regression analysis
Author
Alex, Rajan ; Wang, P.Z.
Author_Institution
Dept. of Math, West Texas A&M Univ., Canyon, TX, USA
Volume
2
fYear
1998
fDate
11-14 Oct 1998
Firstpage
2019
Abstract
In this paper, we describe a method for fuzzy regression analysis. Earlier work on regression analysis using fuzzy models made heavy emphasis on the type of membership function used in fuzzifying the predictor and the response variables. Our proposed solution of fuzzy regression analysis does not depend on the type of fuzzy function used to fuzzify the given data. The fuzzy regression analysis is essentially to answer the question: What is the predicted value of the response variable y for a given set of n values of the predictor variables? The first step is to fuzzify each value of the involved variables to a fuzzy number. Then establish a fuzzy relationship between the independent variables and the dependent variable without taking into consideration the particular type of fuzzy number that has been assigned to the data. Through an example we illustrate the application of the fuzzy modeling
Keywords
fuzzy set theory; statistical analysis; fuzzy modeling; fuzzy number; fuzzy regression analysis; predictor fuzzification; response variables fuzzification; Feeds; Fuzzy sets; Linear regression; Mathematics; Multi-layer neural network; Neural networks; Predictive models; Regression analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Systems, Man, and Cybernetics, 1998. 1998 IEEE International Conference on
Conference_Location
San Diego, CA
ISSN
1062-922X
Print_ISBN
0-7803-4778-1
Type
conf
DOI
10.1109/ICSMC.1998.728194
Filename
728194
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