A4 Conference proceedings

Linguistic approximation of values close to the gain/loss threshold


Open Access publication

Publication Details
Authors: Stoklasa Jan, Talášek, Tomáš
Publication year: 2017
Language: English
Title of parent publication: 35th International Conference Mathematical Methods in Economics MME 2017 Conference Proceedings
Start page: 726
End page: 731
Number of pages: 6
ISBN: 978-80-7435-678-0
JUFO-Level of this publication: 0
Open Access: Open Access publication

Abstract

Linguistic approximation (LA) is a natural last step of linguistic fuzzy modelling, providing linguistic labels (with their meaning known to the decision makers and understood well by them). Linguistic approximation techniques are based on approximation and hence the nature of the approximated output of mathematical model can be altered a bit by the application of these methods. LA can be considered beneficial in linguistic fuzzy modelling, as long as the interpretability and understandability of the provided linguistic outputs outweighs the possible loss/distortion of information. In many cases the distortion of information might be small and as such completely acceptable. Recently, however, Stoklasa and Talášek (2015) pointed out that when specific thresholds are of importance in the decision-making situation (e.g. the border between gains and losses), LA can distort the outcome of the decisionmaking situation by providing a loss label for a gain and vice-versa. In this paper, we investigate the phenomenon under different linguistic scales used for the approximation and provide a thorough discussion of this phenomenon in the context of linguistic approximation.


Last updated on 2018-19-10 at 07:55