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A possibilistic view on set and multiset comparison

Antoon Bronselaer UGent, Axel Hallez UGent and Guy De Tré UGent (2009) CONTROL AND CYBERNETICS. 38(2). p.341-366
abstract
Comparative evaluation operators for sets and multisets are proposed from a possibilistic point of view. In general, an evaluator estimates the possibility of (non) co-reference of two arbitrary (sub)-objects. Such operators can be used in a hierarchical possibilistic framework for finding co-referent objects with a complex structure. This paper first discusses properties of evaluators in general and continues with studying operators for sets and multisets, thereby making a clear distinction between hard and soft evaluators. Hard evaluators are based on evaluation of derived (multi)sets, while soft evaluators use a low level evaluator to incorporate co-reference at element level. The two important parts of such a soft evaluator are an injective element mapping and an aggregation function. An algorithm to provide the injective mapping is presented and discussed. For the aggregation step, ordered weighted conjunction is studied by introducing parameterized fuzzy quantifiers to calculate weight vectors. An advanced learning strategy is introduced to train the optimal parameter matrix.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (proceedingsPaper)
publication status
published
subject
keyword
evaluator, co-reference, multisets, sets, RECORD-LINKAGE, BAGS
journal title
CONTROL AND CYBERNETICS
Control Cybern.
editor
Guy De Tré UGent and Slawomir Zadrozny
volume
38
issue
2
issue title
Fuzzy logic and soft computing in processing of imperfect information
pages
341 - 366
conference name
Special Session on the Application of Fuzzy Logic and Soft Computing in Flexible Quering held at the IFSA 2007 World Congress
conference location
Cancun, MEXICO
conference start
2007-07-18
conference end
2007-07-21
Web of Science type
Proceedings Paper
Web of Science id
000279808100004
JCR category
AUTOMATION & CONTROL SYSTEMS
JCR impact factor
0.378 (2009)
JCR rank
47/59 (2009)
JCR quartile
4 (2009)
ISSN
0324-8569
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
748943
handle
http://hdl.handle.net/1854/LU-748943
date created
2009-09-15 11:25:54
date last changed
2016-12-19 15:41:03
@article{748943,
  abstract     = {Comparative evaluation operators for sets and multisets are proposed from a possibilistic point of view. In general, an evaluator estimates the possibility of (non) co-reference of two arbitrary (sub)-objects. Such operators can be used in a hierarchical possibilistic framework for finding co-referent objects with a complex structure. This paper first discusses properties of evaluators in general and continues with studying operators for sets and multisets, thereby making a clear distinction between hard and soft evaluators. Hard evaluators are based on evaluation of derived (multi)sets, while soft evaluators use a low level evaluator to incorporate co-reference at element level. The two important parts of such a soft evaluator are an injective element mapping and an aggregation function. An algorithm to provide the injective mapping is presented and discussed. For the aggregation step, ordered weighted conjunction is studied by introducing parameterized fuzzy quantifiers to calculate weight vectors. An advanced learning strategy is introduced to train the optimal parameter matrix.},
  author       = {Bronselaer, Antoon and Hallez, Axel and De Tr{\'e}, Guy},
  editor       = {De Tr{\'e}, Guy and Zadrozny, Slawomir},
  issn         = {0324-8569},
  journal      = {CONTROL AND CYBERNETICS},
  keyword      = {evaluator,co-reference,multisets,sets,RECORD-LINKAGE,BAGS},
  language     = {eng},
  location     = {Cancun, MEXICO},
  number       = {2},
  pages        = {341--366},
  title        = {A possibilistic view on set and multiset comparison},
  volume       = {38},
  year         = {2009},
}

Chicago
Bronselaer, Antoon, Axel Hallez, and Guy De Tré. 2009. “A Possibilistic View on Set and Multiset Comparison.” Ed. Guy De Tré and Slawomir Zadrozny. Control and Cybernetics 38 (2): 341–366.
APA
Bronselaer, A., Hallez, A., & De Tré, G. (2009). A possibilistic view on set and multiset comparison. (G. De Tré & S. Zadrozny, Eds.)CONTROL AND CYBERNETICS, 38(2), 341–366. Presented at the Special Session on the Application of Fuzzy Logic and Soft Computing in Flexible Quering held at the IFSA 2007 World Congress.
Vancouver
1.
Bronselaer A, Hallez A, De Tré G. A possibilistic view on set and multiset comparison. De Tré G, Zadrozny S, editors. CONTROL AND CYBERNETICS. 2009;38(2):341–66.
MLA
Bronselaer, Antoon, Axel Hallez, and Guy De Tré. “A Possibilistic View on Set and Multiset Comparison.” Ed. Guy De Tré & Slawomir Zadrozny. CONTROL AND CYBERNETICS 38.2 (2009): 341–366. Print.