Name
Abstract | ||
|---|---|---|
In this paper we prove that, under suitable conditions, Atanassov's K"@a operators, which act on intervals, provide the same numerical results as OWA operators of dimension two. On one hand, this allows us to recover OWA operators from K"@a operators. On the other hand, by analyzing the properties of Atanassov's operators, we can generalize them. In this way, we introduce a class of aggregation functions - the generalized Atanassov operators - that, in particular, include two-dimensional OWA operators. We investigate under which conditions these generalized Atanassov operators satisfy some properties usually required for aggregation functions, such as bisymmetry, strictness, monotonicity, etc. We also show that if we apply these aggregation functions to interval-valued fuzzy sets, we obtain an ordered family of fuzzy sets. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.ins.2010.01.022 | Inf. Sci. |
Keywords | Field | DocType |
aggregation function,suitable condition,fuzzy set,owa operator,interval-valued fuzzy set,two-dimensional owa operator,numerical result,generalized atanassov operator,dispersion,satisfiability | Discrete mathematics,Monotonic function,Fuzzy set,Operator (computer programming),Operator theory,Mathematics | Journal |
Volume | Issue | ISSN |
180 | 10 | 0020-0255 |
Citations | PageRank | References |
24 | 1.37 | 11 |
Authors | ||
8 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Humberto Bustince Sola | 1 | 974 | 44.53 |
| Tomasa Calvo | 2 | 468 | 44.21 |
| B. De Baets | 3 | 929 | 71.49 |
| János C. Fodor | 4 | 718 | 77.37 |
| Radko Mesiar | 5 | 3778 | 472.41 |
| Javier Montero | 6 | 896 | 77.44 |
| Daniel Paternain | 7 | 237 | 26.18 |
| Ana Pradera | 8 | 159 | 16.09 |