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Image reduction operators as aggregation functions: Fuzzy transform and undersampling

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posted on 2013-11-01, 00:00 authored by D Paternain, A Jurio, R Mesiar, Gleb BeliakovGleb Beliakov, H Bustince
After studying several reduction algorithms that can be found in the literature, we notice that there is not an axiomatic definition of this concept. In this work we propose the definition of weak reduction operators and we propose the properties of the original image that reduced images must keep. From this definition, we study whether two methods of image reduction, undersampling and fuzzy transform, satisfy the conditions of weak reduction operators.

History

Title of book

Aggregation Functions in Theory and in Practise

Volume

228

Series

Advances in Intelligent Systems and Computing

Pagination

405 - 414

Publisher

Springer Verlag

Location

Berlin, Germany

Place of publication

Germany

ISBN-13

978-3-642-39164-4

Language

eng

Publication classification

B1.1 Book chapter

Copyright notice

2013, Springer Verlag

Editor/Contributor(s)

H Bustince, J Fernandez, R Mesiar, T Calco

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