Fuzzy logistic regression with least absolute deviations estimators

Verfasser / Beitragende:
[Mahshid Namdari, Jin Yoon, Alireza Abadi, S. Taheri, Seung Choi]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/4(2015-04-01), 909-917
Format:
Artikel (online)
ID: 605469857
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024 7 0 |a 10.1007/s00500-014-1418-2  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1418-2 
245 0 0 |a Fuzzy logistic regression with least absolute deviations estimators  |h [Elektronische Daten]  |c [Mahshid Namdari, Jin Yoon, Alireza Abadi, S. Taheri, Seung Choi] 
520 3 |a 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 $$(M_p)$$ ( M p ) and index of sensitivity $$(I_S)$$ ( I S ) . 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Fuzzy logistic regression  |2 nationallicence 
690 7 |a Least absolute deviations estimation  |2 nationallicence 
690 7 |a Least squares estimation  |2 nationallicence 
690 7 |a Linguistic variable  |2 nationallicence 
690 7 |a Measure of performance  |2 nationallicence 
690 7 |a Index of sensitivity  |2 nationallicence 
690 7 |a Possibilistic odds  |2 nationallicence 
700 1 |a Namdari  |D Mahshid  |u Department of Biostatistics, Faculty of Paramedical Sciences and Dental School, Shahid Beheshti University of Medical Sciences, Tehran, Iran  |4 aut 
700 1 |a Yoon  |D Jin  |u School of Mathematics and Statistics, Sejong University, Seoul, South Korea  |4 aut 
700 1 |a Abadi  |D Alireza  |u Department of Health and Community Medicine, School of Medicine, Shahid Beheshti University of Medical Sciences, Tehran, Iran  |4 aut 
700 1 |a Taheri  |D S.  |u Faculty of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran  |4 aut 
700 1 |a Choi  |D Seung  |u School of Liberal Arts and Sciences, Korea Aerospace University, Koyang, South Korea  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/4(2015-04-01), 909-917  |x 1432-7643  |q 19:4<909  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1418-2  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00500-014-1418-2  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Namdari  |D Mahshid  |u Department of Biostatistics, Faculty of Paramedical Sciences and Dental School, Shahid Beheshti University of Medical Sciences, Tehran, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Yoon  |D Jin  |u School of Mathematics and Statistics, Sejong University, Seoul, South Korea  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Abadi  |D Alireza  |u Department of Health and Community Medicine, School of Medicine, Shahid Beheshti University of Medical Sciences, Tehran, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Taheri  |D S.  |u Faculty of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Choi  |D Seung  |u School of Liberal Arts and Sciences, Korea Aerospace University, Koyang, South Korea  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/4(2015-04-01), 909-917  |x 1432-7643  |q 19:4<909  |1 2015  |2 19  |o 500