A4 Conference proceedings

Comparison of similarity measures for generalized trapezoidal fuzzy numbers


Open Access publication

Publication Details
Authors: Talášek Tomáš, Stoklasa Jan
Publication year: 2019
Language: English
Title of parent publication: Proceedings of the 37th International Conference on Mathematical Methods in Economics
Start page: 482
End page: 486
Number of pages: 5
ISBN: 978-80-7394-760-6
JUFO-Level of this publication: 0
Open Access: Open Access publication

Abstract

In the last ten years, several new similarity measures for generalized trape- zoidal fuzzy numberswere proposed in the literature. These similarity measures differ in the combination of properties of fuzzy numbers that are taken into consideration (e.g. center of gravity, height, area, perimeter, distance of significant values, etc. of the compared fuzzy numbers). The performance of these similarity measures was, so far, investigated only on several specifically chosen examples. A thorough com- parison of the performance of these different similarity measures is still not available in the literature. This paper investigates the relationships between the new similarity measures using a numerical experiment. The effect of the different heights of the compared generalized fuzzy numbers is also considered. As such, the paper provides first insights into the shared features of the similarity measures.


Last updated on 2020-20-03 at 10:03