Fuzzy linear regression and its applications to forecasting in uncertain environment.

*(English)*Zbl 0566.62099Linear regression has been used for many years in developing mathematical models for application in marketing, management, and sales forecasting. In this paper, two different sales forecasting techniques are discussed.

The first technique involves non-fuzzy abstract methods of linear regression and econometrics. A study of the international market sales of cameras, done in 1968 by J. S. Armstrong [Long-range forecasting for a consumer durable in an international market. Diss. MIT (1968)], utilized these non-fuzzy forecasting techniques. The second sales forecasting technique uses fuzzy linear regression introduced by H. Tanaka, S. Uejima and K. Asai [see IEEE Trans. Syst. Man Cybern. SMC-12, 903-907 (1982; Zbl 0501.90060)].

In this paper, a study of the computer and peripheral equipment sales in the United States is discussed using fuzzy linear regression. Moreover, fuzzy linear regression is applied to forecasting in an uncertain environment. Finally, some possible improvements and suggestions for further study are mentioned.

The first technique involves non-fuzzy abstract methods of linear regression and econometrics. A study of the international market sales of cameras, done in 1968 by J. S. Armstrong [Long-range forecasting for a consumer durable in an international market. Diss. MIT (1968)], utilized these non-fuzzy forecasting techniques. The second sales forecasting technique uses fuzzy linear regression introduced by H. Tanaka, S. Uejima and K. Asai [see IEEE Trans. Syst. Man Cybern. SMC-12, 903-907 (1982; Zbl 0501.90060)].

In this paper, a study of the computer and peripheral equipment sales in the United States is discussed using fuzzy linear regression. Moreover, fuzzy linear regression is applied to forecasting in an uncertain environment. Finally, some possible improvements and suggestions for further study are mentioned.

##### MSC:

62P20 | Applications of statistics to economics |

##### Keywords:

sales forecasting techniques; non-fuzzy forecasting techniques; fuzzy linear regression; uncertain environment##### Software:

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\textit{B. Heshmaty} and \textit{A. Kandel}, Fuzzy Sets Syst. 15, 159--191 (1985; Zbl 0566.62099)

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##### References:

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