Journal article
Fuzzy dynamical systems
Fuzzy Sets and Systems, Vol.7(3), pp.275-296
1982
Abstract
A fuzzy dynamical system on an underlying complete, locally compact metric state space X is defined axiomatically in terms of a fuzzy attainability set mapping on X. This definition includes as special cases crisp single and multivalued dynamical systems on X. It is shown that the support of such a fuzzy dynamical system on X is a crisp multivalued dynamical system on X, and that such a fuzzy dynamical system can be considered as a crisp dynamical system on a state space of nonempty compact fuzzy subsets of X. In addition fuzzy trajectories are defined, their existence established and various properties investigated.
Details
- Title
- Fuzzy dynamical systems
- Authors/Creators
- P.E. Kloeden (Author/Creator)
- Publication Details
- Fuzzy Sets and Systems, Vol.7(3), pp.275-296
- Publisher
- Elsevier B.V.
- Identifiers
- 991005541459107891
- Copyright
- © 1982 Published by Elsevier B.V.
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 4 Electrical Engineering, Electronics & Computer Science
- 4.61 Artificial Intelligence & Machine Learning
- 4.61.56 Fuzzy Decision-Making
- Web Of Science research areas
- Computer Science, Theory & Methods
- Mathematics, Applied
- Statistics & Probability
- ESI research areas
- Engineering