RT Journal Article
T1 A class of aggregation functions encompassing two-dimensional OWA operators
A1 Bustince, Humberto
A1 Calvo Sánchez, Tomasa
A1 De Baets, Bernard
A1 Fodor, János
A1 Mesiar, Radko
A1 Montero De Juan, Francisco Javier
A1 Paternain Dallo, Daniel
A1 Pradera, A.
AB 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.
PB Elsevier Science Inc
SN 0020-0255
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42257
UL https://hdl.handle.net/20.500.14352/42257
LA eng
NO Bustince, 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.2010.01.022
DS Docta Complutense
RD 12 abr 2025