Problems of Interval-Based Qualitative Reasoning11

Peter Struss

doi:10.1016/B978-1-4832-1447-4.50024-9

Problems of Interval-Based Qualitative Reasoning¹1

Peter Struss

Siemens AG

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

5 Scopus citations

Abstract

This paper analyzes the power and limitations of common approaches to qualitative reasoning which derive qualitative descriptions from quantitative models. A mathematical formalization of qualitative reasoning methods is developed which is based on a variant of interval mathematics. It is shown that these methods applied to sets of equations are complete but not sound. Moreover, their solutions are not stable with respect to simple variations in the underlying set of equations.

Original language	English
Title of host publication	Readings in Qualitative Reasoning About Physical Systems
Publisher	Elsevier Inc.
Pages	288-305
Number of pages	18
ISBN (Print)	1558600957, 9781483214474
DOIs	https://doi.org/10.1016/B978-1-4832-1447-4.50024-9
State	Published - 17 Sep 2013
Externally published	Yes

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10.1016/B978-1-4832-1447-4.50024-9

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AB - This paper analyzes the power and limitations of common approaches to qualitative reasoning which derive qualitative descriptions from quantitative models. A mathematical formalization of qualitative reasoning methods is developed which is based on a variant of interval mathematics. It is shown that these methods applied to sets of equations are complete but not sound. Moreover, their solutions are not stable with respect to simple variations in the underlying set of equations.

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Problems of Interval-Based Qualitative Reasoning¹1

Abstract

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