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This chapter defines a new concept and framework for constructing fusion rules for evidences. This framework is based on a referee function, which does a decisional arbitrament conditionally to basic decisions provided by the several…

Artificial Intelligence · Computer Science 2009-03-30 Frederic Dambreville

The endeavor of stock trend forecasting is principally focused on predicting the future trajectory of the stock market, utilizing either manual or technical methodologies to optimize profitability. Recent advancements in machine learning…

Computational Engineering, Finance, and Science · Computer Science 2025-02-19 Mingjie Wang , Juanxi Tian , Mingze Zhang , Jianxiong Guo , Weijia Jia

This paper tends to define the quantitative relationship between the stock price and time as a time function. Based on the empirical evidence that the log-return of a stock is the series of white noise, a mathematical model of the integral…

Statistical Finance · Quantitative Finance 2023-02-22 Shengfeng Mei , Hong Gao

In this paper, the Dempster-Shafer method is employed as the theoretical basis for creating data classification systems. Testing is carried out using three popular (multiple attribute) benchmark datasets that have two, three and four…

Machine Learning · Computer Science 2014-09-03 Qi Chen , Amanda Whitbrook , Uwe Aickelin , Chris Roadknight

The aim of this paper is the analysis and selection of stock trading systems that combine different models with data of different nature, such as financial and microeconomic information. Specifically, based on previous work by the authors…

Computational Finance · Quantitative Finance 2025-12-03 Juan C. King , Jose M. Amigo

The paper presents a novel view of the Dempster-Shafer belief function as a measure of diversity in relational data bases. It is demonstrated that under the interpretation The Dempster rule of evidence combination corresponds to the join…

Artificial Intelligence · Computer Science 2017-04-11 Mieczysław A. Kłopotek , Sławomir T. Wierzchoń

Dempster-Shafer Theory (DST) provides a powerful framework for modeling uncertainty and has been widely applied to multi-attribute classification tasks. However, traditional DST-based attribute fusion-based classifiers suffer from…

Machine Learning · Computer Science 2025-10-08 Qiying Hu , Yingying Liang , Qianli Zhou , Witold Pedrycz

In this paper we consider and analyze the behavior of two combinational rules for temporal (sequential) attribute data fusion for target type estimation. Our comparative analysis is based on Dempster's fusion rule proposed in…

Artificial Intelligence · Computer Science 2007-05-23 Jean Dezert , Albena Tchamova , Florentin Smarandache , Pavlina Konstantinova

We demonstrate that the forecasting combination puzzle is a consequence of the methodology commonly used to produce forecast combinations. By the combination puzzle, we refer to the empirical finding that predictions formed by combining…

Econometrics · Economics 2023-08-11 David T. Frazier , Ryan Covey , Gael M. Martin , Donald Poskitt

A considerable body of work in AI has been concerned with aggregating measures of confirmatory and disconfirmatory evidence for a common set of propositions. Claiming classical probability to be inadequate or inappropriate, several…

Artificial Intelligence · Computer Science 2013-04-15 Benjamin N. Grosof

The theory of belief functions is an effective tool to deal with the multiple uncertain information. In recent years, many evidence combination rules have been proposed in this framework, such as the conjunctive rule, the cautious rule, the…

Artificial Intelligence · Computer Science 2017-07-26 Kuang Zhou , Arnaud Martin , Quan Pan

This study investigates empirically whether the degree of stock market efficiency is related to the prediction power of future price change using the indices of twenty seven stock markets. Efficiency refers to weak-form efficient market…

Statistical Finance · Quantitative Finance 2009-11-13 Cheoljun Eom , Gabjin Oh , Woo-Sung Jung

It is often reported in forecast combination literature that a simple average of candidate forecasts is more robust than sophisticated combining methods. This phenomenon is usually referred to as the "forecast combination puzzle". Motivated…

Methodology · Statistics 2015-05-05 Wei Qian , Craig A. Rolling , Gang Cheng , Yuhong Yang

In the current versions of the Dempster-Shafer theory, the only essential restriction on the validity of the rule of combination is that the sources of evidence must be statistically independent. Under this assumption, it is permissible to…

Artificial Intelligence · Computer Science 2013-04-12 Lotfi Zadeh , Anca Ralescu

A random set is a generalisation of a random variable, i.e. a set-valued random variable. The random set theory allows a unification of other uncertainty descriptions such as interval variable, mass belief function in Dempster-Shafer theory…

Numerical Analysis · Mathematics 2018-11-27 Truong-Vinh Hoang , Hermann G. Matthies

In this paper the behavior of three combinational rules for temporal/sequential attribute data fusion for target type estimation are analyzed. The comparative analysis is based on: Dempster's fusion rule proposed in Dempster-Shafer Theory;…

Artificial Intelligence · Computer Science 2009-10-09 Albena Tchamova , Jean Dezert , Florentin Smarandache

We first discuss certain problems with the classical probabilistic approach for assessing forensic evidence, in particular its inability to distinguish between lack of belief and disbelief, and its inability to model complete ignorance…

Probability · Mathematics 2017-02-02 Timber Kerkvliet , Ronald Meester

Due to their accuracies, methods based on ensembles of regression trees are a popular approach for making predictions. Some common examples include Bayesian additive regression trees, boosting and random forests. This paper focuses on…

Methodology · Statistics 2019-11-15 Suofei Wu , Jan Hannig , Thomas C. M. Lee

Research on environmental risk modeling relies on numerous indicators to quantify the magnitude and frequency of extreme climate events, their ecological, economic, and social impacts, and the coping mechanisms that can reduce or mitigate…

Information Theory · Computer Science 2026-01-29 Abdullah Konak

The predictive advantage of combining several different predictive models is widely accepted. Particularly in time series forecasting problems, this combination is often dynamic to cope with potential non-stationary sources of variation…

Machine Learning · Statistics 2021-04-06 Vitor Cerqueira , Luis Torgo , Carlos Soares , Albert Bifet
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