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arXiv 0709.1701cs.AI
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不确定条件下定性信念的扩充

Enrichment of Qualitative Beliefs for Reasoning under Uncertainty

Huazhong Univ of Sci. and Tech.(华中科技大学);University of New Mexico(新墨西哥大学);ONERA(法国航空航天研究院)

Xinde Li, Xinhan Huang, Florentin Smarandache, Jean Dezert

摘要:

本文论述了丰富的定性信念功能下的不确定性推理和组合信息表示的自然语言通过语言标签。在这项工作中,两种可能的丰富(定量和/或定性)的语言标签被认为是和运营商(加法,乘法,除法等)处理他们提出和解释。我们将它们表示为$qe$ -算子,$qe$代表“定性富集”算子。这些算子可以看作是最近在DSmT中提出的经典定性算子($q$ -算子)的直接推广。$q$ -算子也在本文中进行了详细的证明。语言标记的数量富集是$[0,\infty)$中的一个数值支持度,而语言标记的质量富集是在一个有限的有序语言值集合中取值。定量富集不如定性富集精确,但预计更接近人类专家在表达具有支持度的语言标签时可以轻松提供的内容。给出了两个简单的例子来说明如何融合的定性丰富的信念分配。

英文摘要:

This paper deals with enriched qualitative belief functions for reasoning under uncertainty and for combining information expressed in natural language through linguistic labels. In this work, two possible enrichments (quantitative and/or qualitative) of linguistic labels are considered and operators (addition, multiplication, division, etc) for dealing with them are proposed and explained. We denote them $qe$-operators, $qe$ standing for "qualitative-enriched" operators. These operators can be seen as a direct extension of the classical qualitative operators ($q$-operators) proposed recently in the Dezert-Smarandache Theory of plausible and paradoxist reasoning (DSmT). $q$-operators are also justified in details in this paper. The quantitative enrichment of linguistic label is a numerical supporting degree in $[0,\infty)$, while the qualitative enrichment takes its values in a finite ordered set of linguistic values. Quantitative enrichment is less precise than qualitative enrichment, but it is expected more close with what human experts can easily provide when expressing linguistic labels with supporting degrees. Two simple examples are given to show how the fusion of qualitative-enriched belief assignments can be done.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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