Construction of aggregation functions from data using linear programming

Beliakov, Gleb 2009, Construction of aggregation functions from data using linear programming, Fuzzy sets and systems, vol. 160, no. 1, pp. 65-75, doi: 10.1016/j.fss.2008.07.004.

Attached Files
Name Description MIMEType Size Downloads

Title Construction of aggregation functions from data using linear programming
Author(s) Beliakov, GlebORCID iD for Beliakov, Gleb
Journal name Fuzzy sets and systems
Volume number 160
Issue number 1
Start page 65
End page 75
Total pages 11
Publisher Elsevier
Place of publication Amsterdam, Netherlands
Publication date 2009-01
ISSN 0165-0114
Keyword(s) aggregation operators
fuzzy sets
quasi-arithmetic means
triangular norms
least absolute deviation
Summary This article examines the construction of aggregation functions from data by minimizing the least absolute deviation criterion. We formulate various instances of such problems as linear programming problems. We consider the cases in which the data are provided as intervals, and the outputs ordering needs to be preserved, and show that linear programming formulation is valid for such cases. This feature is very valuable in practice, since the standard simplex method can be used.
Language eng
DOI 10.1016/j.fss.2008.07.004
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
HERDC collection year 2009
Copyright notice ©2008, Elsevier B.V.
Persistent URL

Connect to link resolver
Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved.

Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 78 times in TR Web of Science
Scopus Citation Count Cited 82 times in Scopus
Google Scholar Search Google Scholar
Access Statistics: 817 Abstract Views, 6 File Downloads  -  Detailed Statistics
Created: Mon, 12 Apr 2010, 19:02:53 EST by Sandra Dunoon

Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact