Abstract
Fundamental operators of set theory, fuzzy sets and uncertain information processing explore a unipolar scale of the unit interval [0,1]. However, it is known that human beings also handle other types of scale including a bipolar one that can be expressed on the interval [-1,1]. This scale is of particular interest since it supports a representation of symmetric phenomena encountered in human behavior. In the paper, we investigate fundamental aspects of information aggregation operators from the standpoint of their symmetric behavior. Likewise, classical set operators are analyzed within the same setting. New type of aggregation operators - balanced operators - are defined and discussed.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
Author information
Authors and Affiliations
Editor information
Rights and permissions
About this chapter
Cite this chapter
Homenda, W., Pedrycz, W. Symmetrization Of Fuzzy Operators: Notes On Data Aggregation. In: K. Halgamuge, S., Wang, L. (eds) Computational Intelligence for Modelling and Prediction. Studies in Computational Intelligence, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10966518_1
Download citation
DOI: https://doi.org/10.1007/10966518_1
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26071-4
Online ISBN: 978-3-540-32402-7
eBook Packages: EngineeringEngineering (R0)