Modeling uncertain data with fuzzy B-splines

Fuzzy numbers are an alternative solution to the problem of uncertain data modeling. The idea of fuzzy B-spline is here introduced: its power relies on the possibility of being used as approximating function both for fuzzy and crisp data. The fuzzy modeling of large collections of noisy data described in this paper, moreover, achieves a very high degree of compression with a relatively low computational complexity both for maintenance and interrogation of the model itself. An extensive description of the modeling technique is given, together with methods for interrogating the model. Experimental results are shown to prove the effectiveness of the proposed approach. © 2000 Elsevier Science B.V. All rights reserved.