caa a22 4500 605469938 CHVBK 20210128100325.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s00500-014-1415-5 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1415-5 The statistical inferences of fuzzy regression based on bootstrap techniques [Elektronische Daten] [Woo-Joo Lee, Hye Jung, Jin Yoon, Seung Choi] In this paper, we estimate the parameters of fuzzy regression models and investigate a statistical inferences with crisp inputs and fuzzy outputs for each $$\alpha $$ α -cut. The proposed approaches of statistical inferences are fuzzy least squares (FLS) method and bootstrap technique. FLS is constructed on the basis of minimizing the sum of square of the total difference between observed and estimated outputs. Numerical examples are illustrated to perform the hypotheses test and to provide the percentile confidence regions by proposed approach. Springer-Verlag Berlin Heidelberg, 2014 Fuzzy regression nationallicence Fuzzy least squares method nationallicence Bootstrap method nationallicence Lee Woo-Joo Department of Mathematics, Yonsei University, Seoul, Republic of Korea aut Jung Hye Department of Mathematics, Yonsei University, Seoul, Republic of Korea aut Yoon Jin School of Mathematics and Statistics, Sejong University, Seoul, Republic of Korea aut Choi Seung School of Liberal Arts and Science, Korea Aerospace University, Goyang, Republic of Korea aut Soft Computing Springer Berlin Heidelberg 19/4(2015-04-01), 883-890 1432-7643 19:4<883 2015 19 500 https://doi.org/10.1007/s00500-014-1415-5 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/s00500-014-1415-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lee Woo-Joo Department of Mathematics, Yonsei University, Seoul, Republic of Korea aut NATIONALLICENCE 700 1- Jung Hye Department of Mathematics, Yonsei University, Seoul, Republic of Korea aut NATIONALLICENCE 700 1- Yoon Jin School of Mathematics and Statistics, Sejong University, Seoul, Republic of Korea aut NATIONALLICENCE 700 1- Choi Seung School of Liberal Arts and Science, Korea Aerospace University, Goyang, Republic of Korea aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/4(2015-04-01), 883-890 1432-7643 19:4<883 2015 19 500