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Estimation of fuzzy parameters based on neural networks using trapezoidal data | ||
| Journal of New Researches in Mathematics | ||
| مقاله 4، دوره 8، شماره 36، آذر و دی 2022، صفحه 43-60 اصل مقاله (995.54 K) | ||
| نوع مقاله: research paper | ||
| نویسندگان | ||
razieh naderkhani1؛ Mohammad Hassan Behzadi 2؛ tahereh Razzaghnia  3؛ rahman farnoosh 4
| ||
| 1department of statistics, scence and research branch,islamic azad university, tehran,iran | ||
| 2Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran | ||
| 3Department of statistics, North Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 4Faculty of Mathematics, Iran University of Science and Technology, Tehran, Iran | ||
| چکیده | ||
| Fuzzy regression is a generalized regression model that shows the relationship between independent and dependent variables in the fuzzy environment. Fuzzy linear regression analysis is the generalization of regression models that is appropriate using all data based on a specific criterion. This paper uses an adaptive neural fuzzy inference system to analyze and predict a non-parametric fuzzy regression function with non-fuzzy inputs and symmetrical trapezoidal fuzzy outputs. To this end, a new hybrid algorithm is proposed in which fuzzy minimum squares and linear programming are used to optimize secondary weights. Algorithms are applied by multi layer validation to validate models. More precisely, the accuracy of the algorithms with simulations is fully confirmed. Finally, two simulation examples were used to examine the efficiency of the model, in which the data were defined as trapezoidal numbers and by teaching them and specifying the number of rules used, the unknown parameters were estimated. | ||
| کلیدواژهها | ||
| Nonparametric Fuzzy Regression؛ Trapezoidal Fuzzy Numbers؛ Adaptive Fuzzy Neural Inference System (ANFIS)؛ Leans squares error | ||
| مراجع | ||
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