论文信息 - Fuzzy least-squares linear regression analysis using shape preserving operations

Fuzzy least-squares linear regression analysis using shape preserving operations

Abstract In this paper, we introduce a new class of fuzzy linear regression model with fuzzy input – fuzzy output data using shape preserving arithmetic operations on L – R fuzzy numbers for least-squares fitting. A mixed nonlinear programming approach is used to derive the satisfying solution. This answers one of Diamond's questions [Inform. Sci. 46 (1988) 141].

[1] Dug Hun Hong,et al. Shape preserving multiplications of fuzzy numbers , 2001, Fuzzy Sets Syst..

[2] J. Kacprzyk,et al. Fuzzy regression analysis , 1992 .

[3] Phil Diamond,et al. Fuzzy least squares , 1988, Inf. Sci..

[4] P. Diamond,et al. Extended fuzzy linear models and least squares estimates , 1997 .

[5] Radko Mesiar,et al. Shape preserving additions of fuzzy intervals , 1997, Fuzzy Sets Syst..

[6] Lotfi A. Zadeh,et al. Fuzzy Sets , 1996, Inf. Control..

[7] Dug Hun Hong,et al. Fuzzy system reliability analysis by the use of Tω (the weakest t-norm) on fuzzy number arithmetic operations , 1997, Fuzzy Sets Syst..

[8] Dug Hun Hong,et al. Fuzzy linear regression analysis for fuzzy input-output data using shape-preserving operations , 2001, Fuzzy Sets Syst..