scholarly journals Linear regression analysis for fuzzy input and output data using the extension principle

2003 ◽  
Vol 45 (12) ◽  
pp. 1849-1859 ◽  
Author(s):  
Hsien-Chung Wu
Author(s):  
Kazuhisa Takemura ◽  

Fuzzy linear regression analysis using the least squares method under linear constraint, where input data, output data, and coefficients are represented by triangular fuzzy numbers, was proposed and compared to possibilistic linear regression analysis proposed by Sakawa and Yano (1992) using fuzzy rating data in a psychological study. Major findings of the comparison were as follows: (1) Under the proposed analysis, the width between the maximum and minimum of the predicted model was nearer to the width of the dependent variable than that of possibilistic linear regression analysis, (2) the representative prediction by the proposed analysis was also nearer to that of the dependent variable, compared to that of possibilistic linear regression analysis.


2019 ◽  
Vol 2 (3) ◽  
pp. 159
Author(s):  
Ahmad Rajaul Masrur ◽  
Hajjatul Mabbruroh ◽  
Darwis Darwis

Low productivity in home industry which produces featured product in rural area in Pamekasan cannot cover entire market target nationally or internationally. Featured Product of Rural Area (PRUKADes) is the first program of 4 priority planned by Ministry of Village, Disadvantaged Regions and Trasmigration (Kemendes PDTT) aims to increase village competitiveness and company’s productivity in order the villagers gain higher income. Based on the statistic analytical test, a result is valid if r is bigger than r in table. In addition, data is considered reliable because the value of Cronbach's Alpha is 0,77 or more than  0,6. From double linear regression analysis, the value is 0,800. It shows that there is a strong relationship between home industry productivity (X) through X1 (workers quality), X2 (managing skill), and X3 (Input and Output process) and the increasing featured product of rural area in Pamekasan (Y). The value is 64,0%  and it is quite big. The rest is 36,0% and it is influenced by other factors that excluded from this research. Entirely, the research is done by F test F (ensemble regressed coefficient); that is, there is a relationship between home industry productivity (X) and the increase of featured product in rural area in Pamekasan (Y


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