Uncertainty Theory and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 31 May 2025 | Viewed by 47

Special Issue Editors


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Guest Editor
School of Economics and Management, North China Electric Power University, Beijing 102206, China
Interests: uncertainty theory; uncertain differential equations; reliability

Special Issue Information

Dear Colleagues,

Something is called random if its frequency of occurrence is known. Otherwise, it is called uncertain. In order to rationally deal with these phenomena, there exist two mathematical systems: probability theory and uncertainty theory. Probability theory is a branch of mathematics concerned with the analysis of random phenomena, while uncertainty theory is a branch of mathematics concerned with the analysis of uncertain phenomena. In order to use them to handle some quantity (e.g., stock price) in practice, the first action is to produce a distribution function representing the possibility that the quantity falls on the left side of the current point. If you believe the distribution function is close enough to the future frequency, then you should use probability theory. Otherwise, you have to use uncertainty theory. Numerous empirical studies show that the real world is far from frequency stable. This fact makes the distribution function obtained in practice usually deviate from the future frequency even when numerous observed data are available, which consequently provides motivation to learn and use uncertainty theory. This Special Issue explores the practical uses of uncertainty theory in fields like finance, engineering, and healthcare. It shows how uncertainty can be quantified and integrated into statistical models to enhance the accuracy and reliability of predictions and decisions.

Moreover, this Special Issue presents case studies and examples to demonstrate how uncertainty theory can be implemented to solve complex problems in real-world scenarios. This Special Issue welcomes all submissions related to uncertainty theory and applications.

Dr. Zhe Liu
Dr. Hua Ke
Guest Editors

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Keywords

  • uncertainty theory
  • uncertain differential equations
  • reliability
  • fuzzy logic
  • Bayesian statistics
  • decision-making
  • multi-agent
  • uncertainty theory
  • uncertain dynamic systems
  • uncertain statistics
  • uncertain programming
  • uncertain logic
  • uncertain differential equation
  • uncertain inference

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