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POSSIBILISTIC LOGISTIC REGRESSION MODEL
WITH MINIMUM FUZZINESS

مؤلف البحث
Ramadan Hamed1, Aly El-Hefnawy2, Maha M. El-Ashram3 and Hesham A. Abdalla4
مجلة البحث
In Mohd Tahir Ismail and Adli Mustafa (eds) 5th Asian Mathematical Conference Proceedings
المشارك في البحث
تصنيف البحث
3
عدد البحث
Volume III
موقع البحث
http://math.usm.my/academic-staff/mohd-tahir-ismail/
سنة البحث
2009
صفحات البحث
621-628
ملخص البحث

Parameter estimation for logistic regression is usually based on maximizing the likelihood function. For large well-balanced datasets ML estimation is a satisfactory approach. Unfortunately, ML can fail completely or at least produce poor results in terms of estimated probabilities and confidence intervals of parameters, specially for small datasets. This study extends logistic regression model to fuzzy logistic regression model by suggesting a new approach based on fuzzy concepts to estimate the model parameters. The proposed approach is expected to be an effective alternative to ML in case of small samples. A mathematical programming model which minimizes the total spread of the estimated probabilities of the logistic model is suggested and its performance is evaluated versus ML approach by a Monte Carlo simulation study. Results show that the new proposed model outperforms ML in case of small sample size.