Title: Membership induced on manifolds by vector fields and flows
Author(s): Kevin N. Otto, Andrew D. Lewis, and Erik K. Antonsson
Detail: Fuzzy Sets and Systems 70(1), pages 15-29, 1995
Journal version: Download

Original manuscript: 1993/05/19

In many engineering and scientific applications, the need arises to perform differential calculations on manifolds. If such calculations involve imprecise data, methods for computing with such data must be determined. Definitions and results are given for memberships on manifolds induced by differentiation along vector fields, and by flows of vector fields with uncertain parameters. Examples are presented which illustrate the concepts.

No online version avaliable.

Andrew D. Lewis (andrew at mast.queensu.ca)