Name
Abstract | ||
|---|---|---|
In this paper we characterize all idempotent uninorms defined on a finite ordinal scale. It is proved that any such discrete idempotent uninorm is uniquely determined by a decreasing function from the set of scale elements not greater than the neutral element to the set of scale elements not smaller than the neutral element, and vice versa. Based on this one-to-one correspondence, the total number of discrete idempotent uninorms on a finite ordinal scale of n + 1 elements is equal to 2(n). |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1142/S021848850900570X | INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS |
Keywords | Field | DocType |
Finite ordinal scale, discrete idempotent uninorm, decreasing function, symmetry | Limit ordinal,Discrete mathematics,Ordinal Scale,Ordinal number,Operator (computer programming),Idempotence,Idempotent matrix,Mathematics | Journal |
Volume | Issue | ISSN |
17 | 1 | 0218-4885 |
Citations | PageRank | References |
32 | 1.39 | 9 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bernard De Baets | 1 | 2994 | 300.39 |
| János Fodor | 2 | 296 | 24.21 |
| Daniel Ruiz-Aguilera | 3 | 345 | 25.56 |
| Joan Torrens | 4 | 1259 | 92.67 |