Ellipsoids and Ellipsoid-Shaped Fuzzy Sets as Natural Multi-Variate Generalization of Intervals and Fuzzy Numbers: How to Elicit them from Users, and How to Use them in Data Processing

Authors

Vladik Kreinovich, The University of Texas at El PasoFollow
Jan Beck
Hung T. Nguyen

Publication Date

2-2006

Comments

UTEP-CS-05-13b.

Published in Information Sciences, 2007, Vol. 177, No. 2, pp. 388-407.

Abstract

In this paper, we show that ellipsoids are natural multi-variate generalization of intervals and ellipsoid-shaped fuzzy sets are a natural generalization of fuzzy numbers. We explain how to elicit them from users, and how to use them in data processing.