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A flexible rule for evidential combination in Dempster-Shafer theory of evidence
Applied Soft Computing, 2019Dempster’s combination rule in Dempster–Shafer theory of evidence is widely used to combine multiple pieces of evidence. However, when the evidence is severely conflicting, the result could be counter-intuitive.
Wenjun Ma, Yuncheng Jiang, Xudong Luo
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Fundamentals of the Dempster-Shafer theory
SPIE Proceedings, 2012In this paper, I discuss the basic notions of the Dempster Shafer theory. Using a simple engineering example, I highlight sources of confusion in the Dempster Shafer literature, and some questions that arise in the course of applying the Dempster Shafer algorithm. Finally, I discuss the measure theoretic foundation that reveals the intimate connections
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Applied Soft Computing, 2019
There is a strong link between intuitionistic fuzzy set (IFS) and the Dempster–Shafer Theory (DST). It is easy to use this link to provide evident and productive semantics for IFS in terms of DST.
Peide Liu, Hui Gao
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There is a strong link between intuitionistic fuzzy set (IFS) and the Dempster–Shafer Theory (DST). It is easy to use this link to provide evident and productive semantics for IFS in terms of DST.
Peide Liu, Hui Gao
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A novel combination methodology for Dempster-Shafer theory
2017 25th Signal Processing and Communications Applications Conference (SIU), 2017In this study, a new methodology for combining probability masses from different sources is proposed for Dempster-Shafer theory. Unlike the existing works in the literature, this methodology treats the combination problem as an optimization problem and proposes an objective function that uses conflict and entropy measures to solve this problem.
Hasan Ihsan Turhan, Mübeccel Demirekler
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On a Special Class of Dempster-Shafer Theories
2004In this paper we want to draw Reader’s attention to the issue of impact of separate measurement of features (attributes) from which we want to make inferences. It turns out, that the fact of separate measurements implies algorithmic simplifications for many forms of reasoning in DST. Basic theorems and algorithms exploiting this are given.
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On the fuzzy generalization of the Dempster-Shafer theory of evidence
2010 International Conference on Machine Learning and Cybernetics, 2010In this paper we develop the fuzzy generalization of the Dempster-Shafer theory of evidence. Two pairs of fuzzy valued belief and plausibility functions are constructed by a fuzzy T-similarity relation. These functions take values in the fuzzy unit interval, a well known concept in fuzzy topology theory.
Eric C. C. Tsang, Degang Chen 0002
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An approach to assess the value of industrial heritage based on Dempster–Shafer theory
Journal of Cultural Heritage, 2018Industrial heritage associated with political, economic, cultural, social, scientific, technological, and architectural fields has been a crucial concern to nations and governments, since it reveals the way our ancestors lived, records technical progress
Fuying Liu, Qi Zhao, Yulan Yang
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Symbolic Dempster-Shafer Theory
Journal of Computer Research and Development, 2005采用一个全序的符号值集合来代替数值信任度集合[0,1],提出定性Dempster-Shfer理论来处理既有不确定性又有不精确性的推理问题.首先,定义了适合对不确定性进行定性表达和推理的定性mass函数、定性信任函数等概念,并且研究了这些概念之间的基本关系;其次,详细讨论了定性证据合成问题,提出了基于平均策略的证据合成规则.这种定性Dempster-Shfer理论与其他相关理论相比,既通过在定性领域重新定义Dempster-Shfer理论的基本概念,继承了Dempster-Shfer理论在不确定推理方面的主要特点,同时又具有适合对不精确性操作的既有严格定义又符合直观特性的定性算子,因此更适合基于Dempster-Shafer理论框架不精确表示和处理不确定性.
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Categorification of the Dempster Shafer theory
SPIE Proceedings, 2015This paper contains preliminary steps in demonstrating how the Dempster Shafer theory can be placed into the framework of category theory. In the Dempster Shafer setting, the elements of the base set of a probability space are, typically, subsets of some set.
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