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<p>Uncertainty theory, established on the foundational axioms of normality, duality, subadditivity, and product, is a new branch of mathematics and it is particularly applicable in scenarios where the distribution function is not close enough to observed frequencies, a common occurrence in financial markets. Consequently, the field of uncertain finance has been actively explored and advanced by numerous scholars. This paper presents a comprehensive state-of-the-art review of recent advances in uncertain finance. Through a systematic literature review methodology, we conducted an extensive search in the Web of Science database, covering publications from January 2009 to April 2025. Our search strategy yielded a total of 162 relevant articles focusing on uncertain finance, which form the basis of this review. The study systematically summarizes the key theoretical models and findings in the field of uncertain finance. Furthermore, it provides an analysis of potential future research directions and emerging trends in this domain.</p>

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Uncertain finance: a systematic review of recent advances

  • 期刊论文

  • 发表日期：

    2025年7月14日

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  • Xiangfeng Yang,
  • Haoxuan Li

摘要

Uncertainty theory, established on the foundational axioms of normality, duality, subadditivity, and product, is a new branch of mathematics and it is particularly applicable in scenarios where the distribution function is not close enough to observed frequencies, a common occurrence in financial markets. Consequently, the field of uncertain finance has been actively explored and advanced by numerous scholars. This paper presents a comprehensive state-of-the-art review of recent advances in uncertain finance. Through a systematic literature review methodology, we conducted an extensive search in the Web of Science database, covering publications from January 2009 to April 2025. Our search strategy yielded a total of 162 relevant articles focusing on uncertain finance, which form the basis of this review. The study systematically summarizes the key theoretical models and findings in the field of uncertain finance. Furthermore, it provides an analysis of potential future research directions and emerging trends in this domain.