The natural properties of the aggregation operators and the most elementary ones are the idempotence, the monotonicity and the continuiyt from below. We assume only these properties for the aggregation operator with infinitely many inputs, defined by func- tionals on the family og measurable functions.A family of fuzzy measures is associated with each aggregation operator.The properties of horizontal or vertical pseudo-additivity are recognizable by means of this family of fuzzy measures
Aggregation operators and associated fuzzy measures / Benvenuti, Pietro; Vivona, Doretta; M., Divari. - In: INTERNATIONAL JOURNAL OF UNCERTAINTY, FUZZINESS AND KNOWLEDGE BASED SYSTEMS. - ISSN 0218-4885. - ELETTRONICO. - 9(N.2):(2001), pp. 197-204. [10.1142/S0218488501000739]
Aggregation operators and associated fuzzy measures
BENVENUTI, Pietro;VIVONA, Doretta;
2001
Abstract
The natural properties of the aggregation operators and the most elementary ones are the idempotence, the monotonicity and the continuiyt from below. We assume only these properties for the aggregation operator with infinitely many inputs, defined by func- tionals on the family og measurable functions.A family of fuzzy measures is associated with each aggregation operator.The properties of horizontal or vertical pseudo-additivity are recognizable by means of this family of fuzzy measuresI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
