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Dempster-Shafer structure is effective in classical settings for connecting set-valued hypotheses and representing structured ignorance, yet its practical use is limited by combination growth over focal sets and high conflict management. We…

人工智能 · 计算机科学 2025-10-21 Qianli Zhou , Hao Luo , Lipeng Pan , Yong Deng , Eloi Bosse

When we merge information in Dempster-Shafer Theory (DST), we are faced with anomalous behavior: agents with equal expertise and credibility can have their opinion disregarded after resorting to the belief combination rule of this theory.…

人工智能 · 计算机科学 2024-08-20 Francisco Aragão , João Alcântara

Developing a general information processing model in uncertain environments is fundamental for the advancement of explainable artificial intelligence. Dempster-Shafer theory of evidence is a well-known and effective reasoning method for…

人工智能 · 计算机科学 2024-09-02 Qianli Zhou , Tianxiang Zhan , Yong Deng

It is explored that available credible evidence fusion schemes suffer from the potential inconsistency because credibility calculation and Dempster's combination rule-based fusion are sequentially performed in an open-loop style. This paper…

人工智能 · 计算机科学 2025-04-08 Chaoxiong Ma , Yan Liang , Huixia Zhang , Hao Sun

Data analysis based on information from several sources is common in economic and biomedical studies. This setting is often referred to as the data fusion problem, which differs from traditional missing data problems since no complete data…

统计方法学 · 统计学 2022-04-07 Wei Li , Shanshan Luo , Wangli Xu

Determining the reliability of evidence sources is a crucial topic in Dempster-Shafer theory (DST). Previous approaches have addressed high conflicts between evidence sources using discounting methods, but these methods may not ensure the…

人工智能 · 计算机科学 2024-11-05 Juntao Xu , Tianxiang Zhan , Yong Deng

Mountain river torrents and snow avalanches generate human and material damages with dramatic consequences. Knowledge about natural phenomenona is often lacking and expertise is required for decision and risk management purposes using…

人工智能 · 计算机科学 2011-01-20 Jean-Marc Tacnet , Mireille Batton-Hubert , Jean Dezert

In real life, lots of information merges from time to time. To appropriately describe the actual situations, lots of theories have been proposed. Among them, Dempster-Shafer evidence theory is a very useful tool in managing uncertain…

人工智能 · 计算机科学 2021-05-18 Yuanpeng He

In this paper, we generalize the belief function on complex plane from another point of view. We first propose a new concept of complex mass function based on the complex number, called complex basic belief assignment, which is a…

人工智能 · 计算机科学 2019-07-11 Fuyuan Xiao

The sure thing principle and the law of total probability are basic laws in classic probability theory. A disjunction fallacy leads to the violation of these two classical probability laws. In this paper, a new quantum dynamic belief…

人工智能 · 计算机科学 2017-03-08 Zichang He , Wen Jiang

This paper suggests a new interpretation of the Dempster-Shafer theory in terms of probabilistic interpretation of plausibility. A new rule of combination of independent evidence is shown and its preservation of interpretation is…

人工智能 · 计算机科学 2017-04-07 Mieczysław Kłopotek

How to handle uncertainty in medical diagnosis is an open issue. In this paper, a new decision making methodology based on Z-numbers is presented. Firstly, the experts' opinions are represented by Z-numbers. Z-number is an ordered pair of…

人工智能 · 计算机科学 2017-05-09 Dong Wu , Xiang Liu , Feng Xue , Hanqing Zheng , Yehang Shou , Wen Jiang

Dempster's rule is a fundamental tool for combining belief functions from distinct and reliable sources. However, its intersection-based semantics imposes strong structural restrictions, which limits its flexibility in handling complex…

人工智能 · 计算机科学 2026-05-19 Qianli Zhou , Ye Cui , Zhen Li , Witold Pedrycz , Yong Deng

Smets proposes the Pignistic Probability Transformation (PPT) as the decision layer in the Transferable Belief Model (TBM), which argues when there is no more information, we have to make a decision using a Probability Mass Function (PMF).…

人工智能 · 计算机科学 2022-07-19 Qianli Zhou , Yusheng Huang , Yong Deng

In this paper a new mathematical procedure is presented for combining different pieces of evidence which are represented in the interval form to reflect our knowledge about the truth of a hypothesis. Evidences may be correlated to each…

人工智能 · 计算机科学 2013-04-05 L. W. Chang , Rangasami L. Kashyap

While Evidence Theory (also known as Dempster-Shafer Theory, or Belief Functions Theory) is being increasingly used in data fusion, its potentialities in the Social and Life Sciences are often obscured by lack of awareness of its…

人工智能 · 计算机科学 2025-03-31 Guido Fioretti

One of the most important aspects in any treatment of uncertain information is the rule of combination for updating the degrees of uncertainty. The theory of belief functions uses the Dempster rule to combine two belief functions defined by…

人工智能 · 计算机科学 2013-04-05 Michael S. K. M. Wong , P. Lingras

Missing data arises when certain values are not recorded or observed for variables of interest. However, most of the statistical theory assume complete data availability. To address incomplete databases, one approach is to fill the gaps…

统计方法学 · 统计学 2023-08-15 Luis Alejandro Masmela-Caita , Thais Paiva Galletti , Marcos Oliveira Prates

The authors propose a robust semi-parametric empirical likelihood method to integrate all available information from multiple samples with a common center of measurements. Two different sets of estimating equations are used to improve the…

统计方法学 · 统计学 2012-10-03 Hsiao-Hsuan Wang , Yuehua Wu , Yuejiao Fu , Xiaogang Wang

The integration of data and knowledge from several sources is known as data fusion. When data is only available in a distributed fashion or when different sensors are used to infer a quantity of interest, data fusion becomes essential. In…

机器学习 · 计算机科学 2023-12-11 Peng Wu , Tales Imbiriba , Victor Elvira , Pau Closas