Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Symbolic and Quantitative Approaches to Reasoning with Uncertainty
复制标题
不确定性推理的符号和定量方法
DOI：
10.1007/978-3-642-02906-6_36
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Ma J
中科院分区：
文献类型：
--
作者：
Ma J
本文提出了一种新的代数表示的非阿基米德领域的模型分层/排名的知识库。非阿基米德表示是以非阿基米德多项式的形式。在非阿基米德表示下，容易归纳和比较最常用的排序策略。此外，优先合并运营商使用非阿基米德表示的框架。结果表明，这些合并算子满足Delaware，Dubois和Lang提出的优先合并性质，并证明了文献中的几个优先合并算子是该框架的特例.此外，Benferhat，Lagrue和Rossit的不可分割的秩基的平均主义融合也来自非阿基米德表示。
In this paper, a new algebraic representation by the non-Archimedean fields is proposed to model stratified/ranked knowledge bases. The non-Archimedean representation is in the form of the non-Archimedean polynomials. With the non-Archimedean representation, the most widely used ordering strategies are easily induced and compared. Moreover, a framework of prioritized merging operators using the non-Archimedean representation is presented. It is shown that these merging operators satisfy the prioritized merging properties proposed by Delgrande, Dubois and Lang. In addition, several prioritized merging operators in the literature are proved to be special cases of the framework. Furthermore, the egalitarist fusion of incommensurable ranked bases by Benferhat, Lagrue and Rossit is also derived from the non-Archimedean representation.