Classical and Fuzzy Neighborhood Relations of the Temporal Qualitative Algebra

S. Badaloni, M. Falda
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引用次数: 3

Abstract

In this paper we study the problem of representing different forms of imperfect temporal knowledge. Imperfection in knowledge can be present in the forms of coarse knowledge about temporal events or even in the form of incomplete, imprecise, vague or uncertain temporal information. The two orthogonal notions of coarseness and fuzziness seem to be quite adequate to manage these two kinds of temporal ignorance and they can be combined to develop a more general model. The first part of the present study is dedicated to the definition of a new Neighborhood Temporal Qualitative Algebra nQA starting from Freksa's work about Allen's Algebra neighborhood relations. Freksa's Algebra is merged with the Convex Point Algebra and all the neighborhood relations needed to close the nQA Algebra are computed automatically. The Algebra nQA is tractable. In the second part of the paper, the fuzziness notion is considered and combined with that of conceptual neighborhood. The algebra nQAfuz is defined as a fuzzy extension of the algebra nQA, and the conditions of its tractability are studied.
时间定性代数的经典与模糊邻域关系
本文研究了不完全时态知识的不同形式的表示问题。知识的不完全性可以表现为对时间事件的粗略认识,甚至可以表现为不完整、不精确、模糊或不确定的时间信息。粗糙和模糊这两个正交的概念似乎足以处理这两种时间无知,它们可以结合起来形成一个更一般的模型。本研究的第一部分从Freksa关于Allen代数邻域关系的工作开始,致力于定义一种新的邻域时间定性代数(nQA)。将Freksa代数与凸点代数合并,并自动计算闭合nQA代数所需的所有邻域关系。代数nQA是可处理的。论文的第二部分考虑了模糊概念,并将其与概念邻域概念相结合。将代数nQAfuz定义为代数nQA的模糊扩展,并研究了其可跟踪性的条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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