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Bipolar semicopulas
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DOI：10.1016/j.fss.2014.10.011.png)
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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]. (C) 2014 Elsevier B.V. All rights reserved.
Keyword:
Semicopula
Bipolar semicopula
Bipolar universal integrals
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