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Modelling imperfect time intervals in a two-dimensional space

Yi Qiang UGent, Matthias Delafontaine UGent, Katrin Asmussen UGent, Birger Stichelbaut UGent, Guy De Tré UGent, Philippe De Maeyer UGent and Nico Van de Weghe UGent (2010) CONTROL AND CYBERNETICS. 39(4). p.983-1010
abstract
Every event has an extent in time, which is usually described by crisp time intervals. However, under some circumstances, temporal extents of events are imperfect, and therefore cannot be adequately modelled by crisp time intervals. Rough sets and fuzzy sets are two frequently used tools for representing imperfect temporal information. In this paper, we apply a two-dimensional representation of crisp time intervals, which is called the Triangular Model (TM), to investigate rough time intervals (RTIs) and fuzzy time intervals (FTIs). With this model, RTIs and FTIs, as well as their temporal relations, can be represented as graphics (i.e. discrete geometries or continuous fields) in a two-dimensional time space. Compared to the traditional linear representation of time intervals, we found that TM provides a more compact and clearer representation of imperfect time intervals and relations. Moreover, temporal queries of imperfect intervals can be graphically addressed in TM, which is closer to human intuition than mathematical expressions. As human minds are more efficient in perceiving and processing graphic representations than numerical representations, we believe TM can be applied as a valuable assistant tool for analysing and reasoning about imperfect time intervals.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
fuzzy time interval, the Triangular Model, fuzzy set, rough time interval, FUZZY INTERVALS, rough set, temporal relation
journal title
CONTROL AND CYBERNETICS
Control Cybern.
volume
39
issue
4
pages
983 - 1010
Web of Science type
Article
Web of Science id
000295512900005
JCR category
AUTOMATION & CONTROL SYSTEMS
JCR impact factor
0.3 (2010)
JCR rank
49/60 (2010)
JCR quartile
4 (2010)
ISSN
0324-8569
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1167612
handle
http://hdl.handle.net/1854/LU-1167612
date created
2011-02-23 16:02:04
date last changed
2015-06-17 09:27:16
@article{1167612,
  abstract     = {Every event has an extent in time, which is usually described by crisp time intervals. However, under some circumstances, temporal extents of events are imperfect, and therefore cannot be adequately modelled by crisp time intervals. Rough sets and fuzzy sets are two frequently used tools for representing imperfect temporal information. In this paper, we apply a two-dimensional representation of crisp time intervals, which is called the Triangular Model (TM), to investigate rough time intervals (RTIs) and fuzzy time intervals (FTIs). With this model, RTIs and FTIs, as well as their temporal relations, can be represented as graphics (i.e. discrete geometries or continuous fields) in a two-dimensional time space. Compared to the traditional linear representation of time intervals, we found that TM provides a more compact and clearer representation of imperfect time intervals and relations. Moreover, temporal queries of imperfect intervals can be graphically addressed in TM, which is closer to human intuition than mathematical expressions. As human minds are more efficient in perceiving and processing graphic representations than numerical representations, we believe TM can be applied as a valuable assistant tool for analysing and reasoning about imperfect time intervals.},
  author       = {Qiang, Yi and Delafontaine, Matthias and Asmussen, Katrin and Stichelbaut, Birger and De Tr{\'e}, Guy and De Maeyer, Philippe and Van de Weghe, Nico},
  issn         = {0324-8569},
  journal      = {CONTROL AND CYBERNETICS},
  keyword      = {fuzzy time interval,the Triangular Model,fuzzy set,rough time interval,FUZZY INTERVALS,rough set,temporal relation},
  language     = {eng},
  number       = {4},
  pages        = {983--1010},
  title        = {Modelling imperfect time intervals in a two-dimensional space},
  volume       = {39},
  year         = {2010},
}

Chicago
Qiang, Yi, Matthias Delafontaine, Katrin Asmussen, Birger Stichelbaut, Guy De Tré, Philippe De Maeyer, and Nico Van de Weghe. 2010. “Modelling Imperfect Time Intervals in a Two-dimensional Space.” Control and Cybernetics 39 (4): 983–1010.
APA
Qiang, Yi, Delafontaine, M., Asmussen, K., Stichelbaut, B., De Tré, G., De Maeyer, P., & Van de Weghe, N. (2010). Modelling imperfect time intervals in a two-dimensional space. CONTROL AND CYBERNETICS, 39(4), 983–1010.
Vancouver
1.
Qiang Y, Delafontaine M, Asmussen K, Stichelbaut B, De Tré G, De Maeyer P, et al. Modelling imperfect time intervals in a two-dimensional space. CONTROL AND CYBERNETICS. 2010;39(4):983–1010.
MLA
Qiang, Yi, Matthias Delafontaine, Katrin Asmussen, et al. “Modelling Imperfect Time Intervals in a Two-dimensional Space.” CONTROL AND CYBERNETICS 39.4 (2010): 983–1010. Print.