by Gottfried, Björn
Abstract:
Qualitative Reasoning is characterised by making knowledge explicit in order to arrive at efficient reasoning techniques. It contrasts with often intractable quantitative models. Whereas quantitative models require computations on continuous spaces, qualitative models work on discrete spaces. A problem arises in discrete spaces concerning transitions between neighbouring qualitative concepts. A given arrangement of objects may comprise relations which correspond to such transitions, e.g. an object may be neither left of nor right of another object but precisely aligned with it. Such singularities are sometimes undesirable and influence underlying reasoning mechanisms. We shall show how to deal with singular relations in a way that is more closely related to commonsense reasoning than treating singularities as basic qualitative concepts.
Reference:
Gottfried, Björn, "Singularities in Qualitative Reasoning", In AISC 2004, Artificial Intelligence and Symbolic Computation, Springer, no. 3249, Linz, Austria, pp. 276–280, 2004.
Bibtex Entry:
@INPROCEEDINGS{Gottfried2004,
author = {Gottfried, Bj{\"o}rn},
title = {{Singularities in Qualitative Reasoning}},
booktitle = {AISC 2004, Artificial Intelligence and Symbolic Computation},
year = {2004},
editor = {Buchberger, Bruno and Campbell, John A.},
number = {3249},
series = {LNCS 3249},
pages = {276--280},
address = {Linz, Austria},
month = {September22--24},
publisher = {Springer},
abstract = {Qualitative Reasoning is characterised by making knowledge explicit
in order to arrive at efficient reasoning techniques. It contrasts
with often intractable quantitative models. Whereas quantitative
models require computations on continuous spaces, qualitative models
work on discrete spaces. A problem arises in discrete spaces concerning
transitions between neighbouring qualitative concepts. A given arrangement
of objects may comprise relations which correspond to such transitions,
e.g. an object may be neither left of nor right of another object
but precisely aligned with it. Such singularities are sometimes undesirable
and influence underlying reasoning mechanisms. We shall show how
to deal with singular relations in a way that is more closely related
to commonsense reasoning than treating singularities as basic qualitative
concepts.},
doi = {10.1007/b100361},
isbn = {978-3-540-23212-4},
owner = {pmania},
timestamp = {2012.11.06},
url = {http://www.tzi.de/~bjoerng/Gottfried2004b.pdf}
}