Title :
Aggregation Operators and the Lipschitzian Condition
Author :
Jacas, J. ; Recasens, J.
Author_Institution :
Univ. Politecnica de Catalunya, Barcelona
Abstract :
Lipschitzian and kernel aggregation operators with respect to the natural T-indistinguishability operator Et and their powers are studied. A t-norm T is proved to be E T -Lipschitzian, and is interpreted as a fuzzy point and a fuzzy map as well. Given an Archimedean t-norm T with additive generator t, the quasi-arithmetic mean generated by t is proved to be the most stable aggregation operator with respect to T.
Keywords :
fuzzy set theory; inference mechanisms; Lipschitzian condition; additive generator; fuzzy map; kernel aggregation operators; natural T-indistinguishability operator; quasiarithmetic mean; Algebra; Fuzzy logic; Fuzzy reasoning; Kernel; Power generation; Stability; Topology;
Conference_Titel :
Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
Conference_Location :
London
Print_ISBN :
1-4244-1209-9
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2007.4295514
