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Means on discrete product lattices

Beliakov, Gleb, Bustince, Humberto, Fernandez, Javier and Paternain, Daniel 2010, Means on discrete product lattices, in ESTYLF 2010 : Proceedings of the XIII Spanish Conference on Technologies and Fuzzy Logic, Universidad de Huelva, Huelva, Spain, pp. 315-319.

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Title Means on discrete product lattices
Author(s) Beliakov, Gleb
Bustince, Humberto
Fernandez, Javier
Paternain, Daniel
Conference name Congress on Fuzzy Logic Technologies (15th : 2010, Huelva, Spain)
Conference location Huelva, Spain
Conference dates 3-5 Feb. 2010
Title of proceedings ESTYLF 2010 : Proceedings of the XIII Spanish Conference on Technologies and Fuzzy Logic
Editor(s) Rubio, Antonio Peregrin
Fernandez, Jesus Alcala
Velo, Francisco Jose Moreno
Hernandez, Francisco Alfredo Marquez
Publication date 2010
Conference series Congress on Fuzzy Logic Technologies
Start page 315
End page 319
Total pages 5
Publisher Universidad de Huelva
Place of publication Huelva, Spain
Keyword(s) aggregation functions
mean
median
lattice
Summary We investigate the problem of averaging values on lattices, and in particular on discrete product lattices. This problem arises in image processing when several color values given in RGB, HSL, or another coding scheme, need to be combined. We show how the arithmetic mean and the median can be constructed by minimizing appropriate penalties. We also discuss which of them coincide with the Cartesian product of the standard mean and median.
ISBN 9788492944026
Language eng
Field of Research 080108 Neural, Evolutionary and Fuzzy Computation
Socio Economic Objective 970108 Expanding Knowledge in the Information and Computing Sciences
HERDC Research category E1 Full written paper - refereed
HERDC collection year 2010
Copyright notice ©2010, Universidad de Huelva
Persistent URL http://hdl.handle.net/10536/DRO/DU:30033710

Document type: Conference Paper
Collections: School of Information Technology
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