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Mathematical programming method for estimating intuitionistic fuzzy regression parameters and its application in property market pricing | ||
| Caspian Journal of Mathematical Sciences | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 08 مرداد 1405 | ||
| نوع مقاله: Research Articles | ||
| شناسه دیجیتال (DOI): 10.22080/cjms.2026.31006.1808 | ||
| نویسنده | ||
| Elham Hosseinzadeh* | ||
| Department of Mathematics, Kosar University of Bojnord, Bojnord, Iran. | ||
| تاریخ دریافت: 14 دی 1404، تاریخ بازنگری: 26 تیر 1405، تاریخ پذیرش: 06 مرداد 1405 | ||
| چکیده | ||
| In this paper, we propose a novel method to fit a fuzzy linear regression model with crisp inputs and intuitionistic fuzzy outputs, where the model parameters are considered as intuitionistic fuzzy numbers. To estimate the regression coefficients, a nonlinear programming model is formulated based on a new distance measure defined between intuitionistic fuzzy numbers. This nonlinear model is then transformed into a goal programming model by introducing appropriate deviation variables, and subsequently converted to a linear programming problem solvable efficiently by the simplex method. To demonstrate the effectiveness of the proposed approach, an applicative example related to property market pricing is presented. | ||
| کلیدواژهها | ||
| Fuzzy linear regression؛ Intuitionistic fuzzy number؛ goal programming؛ House prices | ||
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آمار تعداد مشاهده مقاله: 7 |
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