We give a definition of solutions of ordinary differential equations in n containing parameters which are described by changing in time fuzzy sets. They are defined as fuzzy subsets of the space of absolutely continuous functions. We introduce a hypograph metric in the space of fuzzy sets and prove
Differential Inclusions for fuzzy maps
β Scribed by Yuanguo Zhu; Ling Rao
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 93 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
We introduce the problems of di erential inclusions for fuzzy maps, and study the existence of solutions to these problems by the continuous selection theorem and ΓΏxed point theorems, respectively.
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