Name
Abstract | ||
|---|---|---|
The endograph metric plays an important role in fuzzy number theory. The endograph metric on the fuzzy number space E1 is known to be separable but not complete. This paper deals with the completion of E1 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 E1 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. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/FSKD.2008.597 | FSKD (1) |
Keywords | DocType | Volume |
non-compact fuzzy number space,fuzzy number space e,fuzzy set theory,important role,analytic theorem,endograph metric,fuzzy number theory,fuzzy number,fuzzy number spaces f,number theory,fuzzy number space,paper deal | Conference | 1 |
ISBN | Citations | PageRank |
978-0-7695-3305-6 | 1 | 0.38 |
References | Authors | |
1 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Taihe Fan | 1 | 35 | 8.18 |
| Lihong Fan | 2 | 3 | 1.21 |