ارائه یک مدل رگرسیونی جدید با رویکرد برنامه‌ریزی آرمانی فازی نوع-2 بازه‌ای مقدار

Subject Areas : Statistics

Mikaeel Mokhtari ¹ , Mohammad Hassan Behzadi ² , توفیق الهویرانلو ³

1 - Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran.
2 - 1Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran
3 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.

Received: 2021-12-12 Accepted : 2022-01-24 Published : 2024-01-18

Keywords: برنامه‌ریزی‌آرمانی فازی نوع- 2 بازه‌ای, عدم قطعیت احتمالی و فازی, ضرایب رگرسیونی فازی نوع-2 بازه‌ای, قدر مطلق انحرافات فازی, مشاهدات فازی دور افتاده,

Abstract :

Use of ambiguous and imprecise words (such as somewhat, more or less, relatively much) in human speech and judgments, randomness of some events, inability of current tools to measurement of qualitative variables (such as satisfaction, quality, feeling) have caused most of the data and measurements to be accompanied with some degree of uncertainty. In this regard, fuzzy regression models by combining statistical methods with fuzzy approaches via creating functional relationship between input and output variables provide efficient tools for analyzing various types of uncertainty (especially probablistic uncertainty and fuzzy uncertainty). In the present study, in order to fill the gap of type-1 fuzzy regression, a new regression model (two-stage) based on interval type-2 fuzzy goal programming approach is provide. To estimate the fuzzy regression coefficients, we introduce a new fuzzy least absolute errors procedure then propose a new framework for solving interval typ-2 fuzzy goal programming problems through new auxiliary variables. Furthermore, to evaluate the performance of the proposed approach, we provide several new criteria based on fuzzy similarity and distance measures. Finally, in order to illustrate the theoretical results of proposed model and explain how it can be used to derive the interval type-2 fuzzy regression model, we introduce two numerical examples.

References:


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