E-T-lipschitzian and E-T-kernel aggregation operators
Lipschitzian and kernel aggregation operators with respect to natural T-indistinguishability operators E-T 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. (C) 2007 Elsevier Inc. All rights reserved.
aggregation operator indistinguishability operator natural indistinguishability operator lipschitzian condition kernel condition