Computational aspects of fuzzy arithmetics based on Archimedean t-norms

Abstract

For fuzzy multiplication and division of (L, R)-numbers we derive approximation formulas by including the exact results using (L, R)-numbers. This permits an error control and meets user's ideas on tractable solutions better than the level sets approach does. As potential application the resolution of linear systems is considered. © 2001 Elsevier Science B.V. All rights reserved.