Abstrakt: In this paper we prove that, under suitable conditions, Atanassov’s Ka 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 Ka 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.
Stichwort: OWA operators; interval-valued fuzzy sets; Ka operators;generalized Ka operators; dispersion
