Membership induced on manifolds by vector fields and flows

Kevin N. Otto*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

6 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)15-29
Number of pages15
JournalFuzzy Sets and Systems
Issue number1
Publication statusPublished - 24 Feb 1995
MoE publication typeA1 Journal article-refereed


  • Engineering
  • Operators
  • Topology


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