The Concave and Decomposition Integrals: A Review and Future Directions: AGOP Conference 2019 in Olomouc

Ehud Lehrer

doi:10.1007/978-3-030-19494-9_2

The Concave and Decomposition Integrals: A Review and Future Directions: AGOP Conference 2019 in Olomouc

Ehud Lehrer^*

^*Corresponding author for this work

School of Mathematical Sciences

INSEAD

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

5 Scopus citations

Abstract

The concave and decomposition-integrals for capacities defined over finite spaces are introduced. The decomposition integral is based on allowable decompositions of a random variable and it generalizes the Choquet, concave, Shilkret and Pan integrals. Further research directions are given at the end of the paper.

Original language	English
Title of host publication	New Trends in Aggregation Theory
Editors	Radomír Halaš, Marek Gagolewski, Marek Gagolewski, Radko Mesiar
Publisher	Springer Verlag
Pages	15-25
Number of pages	11
ISBN (Print)	9783030194932
DOIs	https://doi.org/10.1007/978-3-030-19494-9_2
State	Published - 2019
Event	International Summer School on Aggregation Functions, AGOP 2019 - Olomouc, Czech Republic Duration: 1 Jul 2019 → 4 Jul 2019

Publication series

Name	Advances in Intelligent Systems and Computing
Volume	981
ISSN (Print)	2194-5357
ISSN (Electronic)	2194-5365

Conference

Conference	International Summer School on Aggregation Functions, AGOP 2019
Country/Territory	Czech Republic
City	Olomouc
Period	1/07/19 → 4/07/19

Access to Document

10.1007/978-3-030-19494-9_2

Cite this

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title = "The Concave and Decomposition Integrals: A Review and Future Directions: AGOP Conference 2019 in Olomouc",

abstract = "The concave and decomposition-integrals for capacities defined over finite spaces are introduced. The decomposition integral is based on allowable decompositions of a random variable and it generalizes the Choquet, concave, Shilkret and Pan integrals. Further research directions are given at the end of the paper.",

author = "Ehud Lehrer",

note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; International Summer School on Aggregation Functions, AGOP 2019 ; Conference date: 01-07-2019 Through 04-07-2019",

year = "2019",

doi = "10.1007/978-3-030-19494-9_2",

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isbn = "9783030194932",

series = "Advances in Intelligent Systems and Computing",

publisher = "Springer Verlag",

pages = "15--25",

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booktitle = "New Trends in Aggregation Theory",

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Lehrer, E 2019, The Concave and Decomposition Integrals: A Review and Future Directions: AGOP Conference 2019 in Olomouc. in R Halaš, M Gagolewski, M Gagolewski & R Mesiar (eds), New Trends in Aggregation Theory. Advances in Intelligent Systems and Computing, vol. 981, Springer Verlag, pp. 15-25, International Summer School on Aggregation Functions, AGOP 2019, Olomouc, Czech Republic, 1/07/19. https://doi.org/10.1007/978-3-030-19494-9_2

The Concave and Decomposition Integrals: A Review and Future Directions: AGOP Conference 2019 in Olomouc. / Lehrer, Ehud.
New Trends in Aggregation Theory. ed. / Radomír Halaš; Marek Gagolewski; Marek Gagolewski; Radko Mesiar. Springer Verlag, 2019. p. 15-25 (Advances in Intelligent Systems and Computing; Vol. 981).

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

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The Concave and Decomposition Integrals: A Review and Future Directions: AGOP Conference 2019 in Olomouc

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