[Crm-sig] A question about relations between time intervals with fuzzy borders
Bernhard Schiemann
Bernhard.Schiemann at informatik.uni-erlangen.de
Fri Jul 31 18:45:31 EEST 2009
Dear all,
In CRM, E2 Temporal Entities are located on the timeline by E53
Time-Spans, which may have fuzzy borders. At the same time, Allen's
interval relations are defined on E2 through the properties
P114-P120, and in their scope notes it is stated that they "can be
calculated". However, Allen's interval relations and inference rules
are only well-defined on intervals with "clear cut" borders, not with
fuzzy ones.
Currently there seems to be some unclarity and ambiguity regarding
the right classification of and inferencing over E2 and P114-P120.
Some examples are illustrated in the attached figure: While the
relationship between X2 and X3 can be clearly classified as P117(I)
occurs during, the situation is totally unclear in the case of X4 and
X5. Even for X1 and X2 three properties --- P118 overlaps in time
with, P119 meets in time with and P120 occurs before --- (may) hold,
dependending on the the view on the fuzzy borders. Allen's
relations, though, are thought of as mutually exclusive.
Obviously, the problem lies in the interaction of the fuzzy borders
and Allen's relations: which temporal extent should be used for
calculation? The minimal or the maximal extent or something in
between?
One possible solution could be to ignore the fuzziness of E52
Time-spans and just annotate the relations which can be trusted
(minimal extent). Has anybody an idea about a best practice about
the P114-P120 relations?
So, to sum up, the main problem is to compute Allen's relations on
time-spans with fuzzy borders. To the best of our knowledge Allen
himself did not make a suggestion for this kind of problem. Does
anybody someone know about publications on this problem?
Best regards,
Martin Scholz, Dipl-Inf.
Artificial Intelligence Division
Department of Computer Science
University of Erlangen-Nuremberg
Haberstr. 2
91058 Erlangen
martin.scholz at informatik.uni-erlangen.de
--
*************************************************************
Bernhard Schiemann, Dipl. Ing.
Artificial Intelligence Division
Department of Computer Science
University of Erlangen-Nuremberg
Haberstr. 2, D-91058 Erlangen, Germany
Tel.: +49-9131-85-28984
Fax : +49-9131-85-28986
Email: schiemann at informatik.uni-erlangen.de
http://www8.informatik.uni-erlangen.de/inf8/en/schiemann.html
To verify my keys, please use gpg keyserver:
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