由Dempster-Shafer理论条件产生的焦点元:一个完整的表征

T. Wickramarathne, K. Premaratne, M. Murthi
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引用次数: 14

摘要

将软证据纳入融合过程提出了相当大的挑战,包括与命题逻辑陈述的物质含义、相互矛盾的证据以及提供软证据的来源范围不同有关的问题。Dempster-Shafer (DS)理论证据更新和融合的条件方法为克服这些挑战提供了一条有希望的途径。然而,由于缺乏直接识别条件焦点元的方法,条件证据更新策略中使用的Fagin-Halpern (FH)条件的计算并不简单。本文的工作通过一个必要和充分条件给出了条件焦点元的完整表征,该必要和充分条件确定了一个命题的显式结构,该命题在条件作用后仍将是焦点元。我们通过几个实验来说明由此产生的计算优势。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Focal elements generated by the Dempster-Shafer theoretic conditionals: A complete characterization
Incorporation of soft evidence into the fusion process poses considerable challenges, including issues related to the material implications of propositional logic statements, contradictory evidence, and non-identical scopes of sources providing soft evidence. The conditional approach to Dempster-Shafer (DS) theoretic evidence updating and fusion provides a promising avenue for overcoming these challenges. However, the computation of the Fagin-Halpern (FH) conditionals utilized in the conditional evidence updating strategies is non-trivial because of the lack of a method to identify the conditional focal elements directly. The work in this paper presents a complete characterization of the conditional focal elements via a necessary and sufficient condition that identifies the explicit structure of a proposition that will remain a focal element after conditioning. We illustrate the resulting computational advantage via several experiments.
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