Koen C. Maes, Susanne Saminger, Bernard De Baets,
"On the characterization of self-dual aggregation operators"
: Proceedings of Joint 4th Int. Conf. in Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, Barcelona (Spain), Seite(n) 159-164, 2005
Original Titel:
On the characterization of self-dual aggregation operators
Sprache des Titels:
Englisch
Original Buchtitel:
Proceedings of Joint 4th Int. Conf. in Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, Barcelona (Spain)
Original Kurzfassung:
Two different characterizations of self-dual aggregation operators are available in the literature: one based on C(x,y)=x/(x+1-y) and one based on the arithmetic mean. In this contribution, we fit the existing approaches into a more general framework and characterize N-invariant aggregation operators, with N an involutive negator. Special attention is drawn to the equivalence classes that arise during the construction process.