A goal programming approach to fuzzy linear regression with fuzzy input-output data

作者：Hassanpour H^*; Maleki H R; Yaghoobi M A

来源：Soft Computing, 2011, 15(8): 1569-1580.

DOI：10.1007/s00500-010-0688-6

• Fuzzy linear regression
• Goal programming
• Fuzzy number
• h-Level set

Fuzzy linear regression is an active area of research. In the literature, fuzziness is considered in outputs and/or in inputs. This paper focuses on both fuzzy inputs and fuzzy outputs. First, some approximations for multiplication of two triangular fuzzy numbers are introduced. Then, to evaluate the fuzzy linear regression, the best approximation is selected to minimize a suitable function via goal programming. An important feature of the proposed model is that it takes into account the centers of fuzzy data as well as their spreads. Moreover, it is flexible to deal with both symmetric and non-symmetric data. Furthermore, it can handle the crisp inputs and trapezoidal fuzzy outputs easily. To show the efficiency of the proposed model, some numerical examples are solved and compared with some earlier methods.

• 出版日期2011-8