The concept of semicopula plays a fundamental role in the aggregation theory on interval [0,1]. Semicopulas are applied, for example, in the definition of universal integrals. We present an extension of the notion of semicopula to the case of symmetric bipolar interval [-1,1]. We call this extension bipolar semicopula. The last definition can be used to obtain a simplified definition of the bipolar universal integral. Moreover, bipolar semicopulas allow for an extension of theory of quasi-copulas to the interval [-1,1].

Bipolar semicopulas.

GRECO, Salvatore;
2015-01-01

Abstract

The concept of semicopula plays a fundamental role in the aggregation theory on interval [0,1]. Semicopulas are applied, for example, in the definition of universal integrals. We present an extension of the notion of semicopula to the case of symmetric bipolar interval [-1,1]. We call this extension bipolar semicopula. The last definition can be used to obtain a simplified definition of the bipolar universal integral. Moreover, bipolar semicopulas allow for an extension of theory of quasi-copulas to the interval [-1,1].
2015
Bipolar semicopula; Bipolar universal integrals; Semicopula
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/18131
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