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.
History
Journal
Fuzzy sets and systems
Volume
160
Pagination
65 - 75
Location
Amsterdam, Netherlands
ISSN
0165-0114
eISSN
1872-6801
Language
eng
Publication classification
C1 Refereed article in a scholarly journal; C Journal article