caa a22 4500 605470421 CHVBK 20210128100327.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00500-014-1328-3 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1328-3 A weighted goal programming approach to fuzzy linear regression with crisp inputs and type-2 fuzzy outputs [Elektronische Daten] [E. Hosseinzadeh, H. Hassanpour, M. Arefi] 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. Springer-Verlag Berlin Heidelberg, 2014 Type-2 fuzzy set nationallicence Linear regression nationallicence Uncertainty nationallicence Type-2 fuzzy number nationallicence Goal programming nationallicence Linguistic variable nationallicence Hosseinzadeh E. Department of Mathematics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran aut Hassanpour H. Department of Mathematics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran aut Arefi M. Department of Statistics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran aut Soft Computing Springer Berlin Heidelberg 19/5(2015-05-01), 1143-1151 1432-7643 19:5<1143 2015 19 500 https://doi.org/10.1007/s00500-014-1328-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1328-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hosseinzadeh E. Department of Mathematics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran aut NATIONALLICENCE 700 1- Hassanpour H. Department of Mathematics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran aut NATIONALLICENCE 700 1- Arefi M. Department of Statistics, Faculty of Mathematical Science and Statistics, University of Birjand, Birjand, Islamic Republic of Iran aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/5(2015-05-01), 1143-1151 1432-7643 19:5<1143 2015 19 500