Fuzzy-based optimization for instrumental variables “relationship between poverty and inequality in MENA”

IF 2.7 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2025-07-07 DOI:10.1016/j.fss.2025.109538

Besma Belhadj , Mejda Bouanani , Firas Kaabi

引用次数: 0

Abstract

In this paper, we propose an alternative fuzzy approach to instrumental variables. Instrumental variable estimators can be conceptually challenging and susceptible to misuse. The fuzzy alternative approach presented in this paper reformulates the instrumental variables method and transforms it into a fuzzy optimization approach. Fuzzy optimization techniques are introduced to handle situations where information cannot be precisely quantified or described using clear linguistic terms. As an illustration of the proposed method, we measure and analyze the relationship between poverty and inequality in MENA countries.

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基于模糊优化的工具变量“中东和北非地区贫困与不平等关系”

在本文中，我们提出了另一种模糊方法来处理工具变量。工具变量估计器在概念上具有挑战性，并且容易被误用。本文提出的模糊替代方法是对工具变量法的重新表述，并将其转化为模糊优化方法。引入模糊优化技术来处理信息不能精确量化或使用清晰的语言术语描述的情况。为了说明所提出的方法，我们测量和分析了中东和北非国家贫困与不平等之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.