Generalized product

Salvatore Greco; Radko Mesiar; Fabio Rindone

doi:10.1007/978-3-319-08852-5_30

Generalized product

Salvatore Greco, Radko Mesiar, Fabio Rindone

University of Catania

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	Information Processing and Management of Uncertainty in Knowledge-Based Systems
Subtitle of host publication	15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part III
Place of Publication	Switzerland
Publisher	Springer
Pages	289-295
Volume	444
ISBN (Print)	978-3-319-08851-8
DOIs	https://doi.org/10.1007/978-3-319-08852-5_30
Publication status	Published - Jul 2014

Publication series

Name	Information Processing and Management of Uncertainty in Knowledge-Based Systems
Volume	444
ISSN (Print)	1865-0929
ISSN (Electronic)	1865-0937

Keywords

Aggregation function
bipolar copula
bipolar scale
bipolar semicopula
symmetric minimum

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10.1007/978-3-319-08852-5_30

GRECO_2014_cright_conf_generalized productAccepted author manuscript (Post-print), 75.1 KB

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Greco, S., Mesiar, R., & Rindone, F. (2014). Generalized product. In Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part III (Vol. 444, pp. 289-295). Article Chapter 30 (Information Processing and Management of Uncertainty in Knowledge-Based Systems; Vol. 444). Springer. https://doi.org/10.1007/978-3-319-08852-5_30

Greco, Salvatore ; Mesiar, Radko ; Rindone, Fabio. / Generalized product. Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part III. Vol. 444 Switzerland : Springer, 2014. pp. 289-295 (Information Processing and Management of Uncertainty in Knowledge-Based Systems).

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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.",

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Greco, S, Mesiar, R & Rindone, F 2014, Generalized product. in Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part III. vol. 444, Chapter 30, Information Processing and Management of Uncertainty in Knowledge-Based Systems, vol. 444, Springer, Switzerland, pp. 289-295. https://doi.org/10.1007/978-3-319-08852-5_30

Generalized product. / Greco, Salvatore; Mesiar, Radko; Rindone, Fabio.
Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part III. Vol. 444 Switzerland: Springer, 2014. p. 289-295 Chapter 30 (Information Processing and Management of Uncertainty in Knowledge-Based Systems; Vol. 444).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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Greco S, Mesiar R, Rindone F. Generalized product. In Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014, Proceedings, Part III. Vol. 444. Switzerland: Springer. 2014. p. 289-295. Chapter 30. (Information Processing and Management of Uncertainty in Knowledge-Based Systems). doi: 10.1007/978-3-319-08852-5_30

Generalized product

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