A weighted goal programming approach to fuzzy linear regression with crisp inputs and type-2 fuzzy outputs

Verfasser / Beitragende:
[E. Hosseinzadeh, H. Hassanpour, M. Arefi]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/5(2015-05-01), 1143-1151
Format:
Artikel (online)
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024 7 0 |a 10.1007/s00500-014-1328-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1328-3 
245 0 2 |a A weighted goal programming approach to fuzzy linear regression with crisp inputs and type-2 fuzzy outputs  |h [Elektronische Daten]  |c [E. Hosseinzadeh, H. Hassanpour, M. Arefi] 
520 3 |a Many researches have been carried out in fuzzy linear regression the past three decades. However, almost all of them are limited to type-1 fuzzy data. A fuzzy linear regression model with type-2 fuzzy output data and type-2 fuzzy coefficients is studied in this paper. A linear programming model based on goal programming is proposed to calculate the regression coefficients. To evaluate the proposed model, we present some indices based on the standard deviation, the correlation coefficient, and the standard error of estimate. The proposed method is illustrated by some numerical examples. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Type-2 fuzzy set  |2 nationallicence 
690 7 |a Linear regression  |2 nationallicence 
690 7 |a Uncertainty  |2 nationallicence 
690 7 |a Type-2 fuzzy number  |2 nationallicence 
690 7 |a Goal programming  |2 nationallicence 
690 7 |a Linguistic variable  |2 nationallicence 
700 1 |a Hosseinzadeh  |D E.  |u Department of Mathematics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran  |4 aut 
700 1 |a Hassanpour  |D H.  |u Department of Mathematics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran  |4 aut 
700 1 |a Arefi  |D M.  |u Department of Statistics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/5(2015-05-01), 1143-1151  |x 1432-7643  |q 19:5<1143  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1328-3  |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/s00500-014-1328-3  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hosseinzadeh  |D E.  |u Department of Mathematics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Hassanpour  |D H.  |u Department of Mathematics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Arefi  |D M.  |u Department of Statistics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/5(2015-05-01), 1143-1151  |x 1432-7643  |q 19:5<1143  |1 2015  |2 19  |o 500