AGGREGATION OPERATORS AND ASSOCIATED FUZZY MEASURES-Reference-Cited by-同舟云学术

AGGREGATION OPERATORS AND ASSOCIATED FUZZY MEASURES

Published:2001-04 Issue:02 Volume:09 Page:197-204
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

BENVENUTI PIETRO¹,VIVONA DORETTA¹,DIVARI MARIA¹

Affiliation:

1. Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università di Roma "La Sapienza" — Via A. Scarpa, 16, 00161 Roma, Italy

Abstract

The natural properties of the aggregation operators and the most elementary ones are the idempotence, the monotonicity and the continuity from below. We assume only these properties for the aggregation operators with infinitely many inputs, defined by functionals on the family of 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488501000739

Reference9 articles.

1. On the Structure of Semigroups on a Compact Manifold With Boundary

2. Uninorm aggregation operators

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