Abstract
A fuzzy mapping from X to Y is a fuzzy set on X × Y. The concept is extended to fuzzy mappings of fuzzy sets on X to Y, fuzzy function and its inverse, fuzzy parametric functions, fuzzy observation, and control. Set theoretical relations are obtained for fuzzy mappings, fuzzy functions, and fuzzy parametric functions. It is shown that under certain conditions a precise control goal can be attained with fuzzy observation and control as long as the observations become sufficiently precise when the goal is approached.
Keywords
Fuzzy classificationDefuzzificationFuzzy set operationsFuzzy logicFuzzy numberMathematicsFuzzy setFuzzy mathematicsNeuro-fuzzyParametric statisticsFuzzy control systemMembership functionFuzzy subalgebraComputer scienceArtificial intelligenceStatistics
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Publication Info
- Year
- 1972
- Type
- article
- Volume
- SMC-2
- Issue
- 1
- Pages
- 30-34
- Citations
- 869
- Access
- Closed
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Cite This
Sheldon S. L. Chang,
L. A. Zadeh
(1972).
On Fuzzy Mapping and Control.
IEEE Transactions on Systems Man and Cybernetics
, SMC-2
(1)
, 30-34.
https://doi.org/10.1109/tsmc.1972.5408553
Identifiers
- DOI
- 10.1109/tsmc.1972.5408553