Title
Fuzzy logistic regression with least absolute deviations estimators
Abstract
This study is an investigation of fuzzy logistic regression model for crisp input and fuzzy output data. The response variable is non-precise and is measured by linguistic terms. Especially this research develops least absolute deviations (LAD) method for modeling and compares the results with the least squares estimation (LSE) method. For these, two estimation methods, min---max method and fitting method, are provided in this research. This study presents new goodness-of-fit indices which are called measure of performance based on fuzzy distance $$(M_p)$$(Mp) and index of sensitivity $$(I_S)$$(IS). The study gives two numerical examples in real clinical studies about systematic lupus erythematosus and the other one in the field of nutrition to explain the proposed methods. In addition, we investigate the sensitivity of two estimation methods in the case of outliers by a numerical example.
Year
DOI
Venue
2015
10.1007/s00500-014-1418-2
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Keywords
Field
DocType
least squares estimation
Least squares,Mathematical optimization,Fuzzy logic,Outlier,Least absolute deviations,Statistics,Logistic regression,Mathematics,Estimator
Journal
Volume
Issue
ISSN
19
4
1433-7479
Citations 
PageRank 
References 
6
0.48
5
Authors
5
Name
Order
Citations
PageRank
Mahshid Namdari160.82
Jin Hee Yoon27710.77
Alireza Abadi361.83
S. Mahmoud Taheri49010.84
Seung-Hoe Choi5738.89