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Content Provider | IEEE Xplore Digital Library |
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Author | Taihe Fan Lihong Fan |
Copyright Year | 2008 |
Description | Author affiliation: Dept. of Math., Zhejiang Sci-Tech Univ., Hangzhou (Taihe Fan) || Dept. of Math., Nanjing Normal Univ., Nanjing (Lihong Fan) |
Abstract | The endograph metric plays an important role in fuzzy number theory. The endograph metric on the fuzzy number space $E^{1}$ is known to be separable but not complete. This paper deals with the completion of $E^{1}$ with respect to the endograph metric. It is shown that the space of all non-compact fuzzy number space F*(R) is the completion of $E^{1}$ with respect to the endograph metric. It is proved that the endograph metric is approximative with respect to order on fuzzy number spaces F*(R), also, the endograph metric is computable. Finally some analytic theorems are given with respect to the endograph metric. |
Starting Page | 362 |
Ending Page | 366 |
File Size | 173846 |
Page Count | 5 |
File Format | |
ISBN | 9780769533056 |
DOI | 10.1109/FSKD.2008.597 |
Language | English |
Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Publisher Date | 2008-10-18 |
Publisher Place | China |
Access Restriction | Subscribed |
Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
Subject Keyword | Fuzzy sets endograph metric H infinity control fuzzy number Extraterrestrial measurements Mathematics Topology Fuzzy systems |
Content Type | Text |
Resource Type | Article |
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