Name
Abstract | ||
|---|---|---|
In this paper it is shown that supremum and infimum of fuzzy numbers can be characterized by membership function method via endograph metric more directly than by using the levelwise metric, it is proved that the endograph metric is approximative with respect to orders on fuzzy number spaces, also, the endograph metric is computable. The result in this paper shows that the fuzzy-number-valued integrals of the kind based on concept like Riemann sum in calculus are computable. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1016/j.ins.2003.08.008 | Inf. Sci. |
Keywords | Field | DocType |
endograph metric,fuzzy number space,fuzzy number,riemann sum,membership function method,fuzzy-number-valued integral,endographic approach,membership function,approximation | T-norm,Discrete mathematics,Convex metric space,Intrinsic metric,Infimum and supremum,Monotone convergence theorem,Essential supremum and essential infimum,Fuzzy number,Mathematics,Injective metric space | Journal |
Volume | Issue | ISSN |
159 | 3-4 | 0020-0255 |
Citations | PageRank | References |
10 | 2.49 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Taihe Fan | 1 | 35 | 8.18 |
| Guojun Wang | 2 | 381 | 24.00 |