Bustince, HumbertoCalvo Sánchez, TomasaDe Baets, BernardFodor, JánosMesiar, RadkoMontero De Juan, Francisco JavierPaternain Dallo, DanielPradera, A.2023-06-202023-06-202010Bustince, H., Calvo, T., De Baets, B., Fodor, J., Mesiar, R., Montero, J., Paternain, D., Pradera, A.: A class of aggregation functions encompassing two-dimensional OWA operators. Information Sciences. 180, 1977-1989 (2010). https://doi.org/10.1016/j.ins.2010.01.0220020-025510.1016/j.ins.2010.01.022https://hdl.handle.net/20.500.14352/42257In 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.engjournal articlehttps//doi.org/10.1016/j.ins.2010.01.022http://www.sciencedirect.com/science/article/pii/S0020025510000447restricted access004.8OWA operatorsInterval-valued fuzzy setsKa operatorsGeneralized Ka operatorsDispersionInteligencia artificial (Informática)1203.04 Inteligencia Artificial