Fuzzy Sets and Systems
Volume 70, Number 1 (1995), Pages 15-29.
Abstract
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 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.