A class of aggregation functions encompassing two-dimensional OWA operators
In this paper we prove that, under suitable conditions, Atanassovs K? K ? 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? K ? operators. On the other hand, by analyzing the properties of Atanassovs 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.
owa operators interval-valued fuzzy sets k? k ? operators k? k ? k? k ? k ? generalized k? k ? operators k? k ? k? k ? k ? dispersion