Generalized product

Salvatore Greco, Radko Mesiar, Fabio Rindone

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Abstract

Aggregation functions on [0,1] with annihilator 0 can be seen as a generalized product on [0,1]. We study the generalized product on the bipolar scale [–1,1], stressing the axiomatic point of view. Based on newly introduced bipolar properties, such as the bipolar increasingness, bipolar unit element, bipolar idempotent element, several kinds of generalized bipolar product are introduced and studied. A special stress is put on bipolar semicopulas, bipolar quasi-copulas and bipolar copulas.
Original languageEnglish
Title of host publicationInformation Processing and Management of Uncertainty in Knowledge-Based Systems
Subtitle of host publication15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part III
Place of PublicationSwitzerland
PublisherSpringer
Pages289-295
Volume444
ISBN (Print)978-3-319-08851-8
DOIs
Publication statusPublished - Jul 2014

Publication series

NameInformation Processing and Management of Uncertainty in Knowledge-Based Systems
Volume444
ISSN (Print)1865-0929
ISSN (Electronic)1865-0937

Keywords

  • Aggregation function
  • bipolar copula
  • bipolar scale
  • bipolar semicopula
  • symmetric minimum

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