IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v311y2023i2p679-689.html
   My bibliography  Save this article

The transport problem for non-additive measures

Author

Listed:
  • Torra, Vicenç

Abstract

Non-additive measures, also known as fuzzy measures, capacities, and monotonic games, are increasingly used in different fields. Applications have been built within computer science and artificial intelligence related to e.g., decision making, image processing, machine learning for both classification, and regression. Tools for measure identification have been built. In short, as non-additive measures are more general than additive ones (i.e., than probabilities), they have better modeling capabilities allowing to model situations and problems that cannot be modeled by the latter. See e.g., the application of non-additive measures and the Choquet integral to model both Ellsberg paradox and Allais paradox. Because of that, there is an increasing need to analyze non-additive measures.

Suggested Citation

  • Torra, Vicenç, 2023. "The transport problem for non-additive measures," European Journal of Operational Research, Elsevier, vol. 311(2), pages 679-689.
    • Handle: RePEc:eee:ejores:v:311:y:2023:i:2:p:679-689
    DOI: 10.1016/j.ejor.2023.03.016
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221723002229
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2023.03.016?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mayag, Brice & Bouyssou, Denis, 2020. "Necessary and possible interaction between criteria in a 2-additive Choquet integral model," European Journal of Operational Research, Elsevier, vol. 283(1), pages 308-320.
    2. Mesiar, R. & Kolesárová, A. & Bustince, H. & Dimuro, G.P. & Bedregal, B.C., 2016. "Fusion functions based discrete Choquet-like integrals," European Journal of Operational Research, Elsevier, vol. 252(2), pages 601-609.
    3. Beliakov, Gleb, 2022. "Knapsack problems with dependencies through non-additive measures and Choquet integral," European Journal of Operational Research, Elsevier, vol. 301(1), pages 277-286.
    4. Pereira, Miguel Alves & Figueira, José Rui & Marques, Rui Cunha, 2020. "Using a Choquet integral-based approach for incorporating decision-maker’s preference judgments in a Data Envelopment Analysis model," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1016-1030.
    5. Gilboa,Itzhak, 2009. "Theory of Decision under Uncertainty," Cambridge Books, Cambridge University Press, number 9780521517324, January.
    6. Jianzhong Du & Siyang Gao & Chun-Hung Chen, 2022. "A Simulation Optimization Approach forPrecision Medicine," Springer Proceedings in Business and Economics, in: Hui Yang & Robin Qiu & Weiwei Chen (ed.), AI and Analytics for Public Health, pages 281-289, Springer.
    7. Yasuo Narukawa & Vicenç Torra & Michio Sugeno, 2016. "Choquet integral with respect to a symmetric fuzzy measure of a function on the real line," Annals of Operations Research, Springer, vol. 244(2), pages 571-581, September.
    8. Chateauneuf, Alain & Jaffray, Jean-Yves, 1989. "Some characterizations of lower probabilities and other monotone capacities through the use of Mobius inversion," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 263-283, June.
    9. Daniel Abril & Guillermo Navarro-Arribas & Vicenç Torra, 2012. "Choquet integral for record linkage," Annals of Operations Research, Springer, vol. 195(1), pages 97-110, May.
    10. Ding-Zhu Du & Panos Pardalos & Xiaodong Hu & Weili Wu, 2022. "Greedy Approximation and Submodular Optimization," Springer Optimization and Its Applications, in: Introduction to Combinatorial Optimization, chapter 0, pages 293-322, Springer.
    11. Ding-Zhu Du & Panos Pardalos & Xiaodong Hu & Weili Wu, 2022. "Nonsubmodular Optimization," Springer Optimization and Its Applications, in: Introduction to Combinatorial Optimization, chapter 0, pages 349-381, Springer.
    12. Pedro R. S. Antunes & Beniamin Bogosel, 2022. "Parametric shape optimization using the support function," Computational Optimization and Applications, Springer, vol. 82(1), pages 107-138, May.
    13. Ding-Zhu Du & Panos M. Pardalos & Xiaodong Hu & Weili Wu, 2022. "Introduction to Combinatorial Optimization," Springer Optimization and Its Applications, Springer, number 978-3-031-10596-8, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gong, Zaiwu & Guo, Weiwei & Słowiński, Roman, 2021. "Transaction and interaction behavior-based consensus model and its application to optimal carbon emission reduction," Omega, Elsevier, vol. 104(C).
    2. Takao Asano & Hiroyuki Kojima, 2022. "Choquet Integrals and Belief Functions," KIER Working Papers 1077, Kyoto University, Institute of Economic Research.
    3. Gregório, Beatriz Cagigal & Pereira, Miguel Alves & Costa, Ana Sara, 2024. "Multi-criteria decision-aiding for public hospitals: The role of interactions among pairs of access and quality criteria," Omega, Elsevier, vol. 126(C).
    4. Takao Asano & Hiroyuki Kojima & Kaname Miyagishima, 2022. "A Simple Axiomatization of Neo-Additive Choquet Expected Utility Theory on a Finite State Space," KIER Working Papers 1080, Kyoto University, Institute of Economic Research.
    5. Beliakov, Gleb, 2022. "Knapsack problems with dependencies through non-additive measures and Choquet integral," European Journal of Operational Research, Elsevier, vol. 301(1), pages 277-286.
    6. Nicola Ranger & Falk Nieh�rster, 2011. "Deep uncertainty in long-term hurricane risk: scenario generation and implications for future climate experiments," GRI Working Papers 51, Grantham Research Institute on Climate Change and the Environment.
    7. Crès, Hervé & Tvede, Mich, 2022. "Aggregation of opinions in networks of individuals and collectives," Journal of Economic Theory, Elsevier, vol. 199(C).
    8. Kemal Ozbek, 2024. "Expected utility, independence, and continuity," Theory and Decision, Springer, vol. 97(1), pages 1-22, August.
    9. Basieva, Irina & Khrennikova, Polina & Pothos, Emmanuel M. & Asano, Masanari & Khrennikov, Andrei, 2018. "Quantum-like model of subjective expected utility," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 150-162.
    10. Dietz, Simon, 2012. "The treatment of risk and uncertainty in the US social cost of carbon for regulatory impact analysis," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 6, pages 1-12.
    11. Carvalho, M., 2012. "Static vs Dynamic Auctions with Ambiguity Averse Bidders," Other publications TiSEM 1f078e67-88ec-46e3-ae18-1, Tilburg University, School of Economics and Management.
    12. Michèle Cohen & Alain Chateauneuf & Eric Danan & Thibault Gajdos & Raphaël Giraud & Meglena Jeleva & Fabrice Philippe & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2011. "Tribute to Jean-Yves Jaffray," Theory and Decision, Springer, vol. 71(1), pages 1-10, July.
    13. Maximilian Blesch & Philipp Eisenhauer, 2021. "Robust decision-making under risk and ambiguity," Papers 2104.12573, arXiv.org, revised Oct 2021.
    14. Guanyi Wang, 2024. "Robust Network Targeting with Multiple Nash Equilibria," Papers 2410.20860, arXiv.org, revised Nov 2024.
    15. Heyen, Daniel, 2018. "Ambiguity aversion under maximum-likelihood updating," LSE Research Online Documents on Economics 80342, London School of Economics and Political Science, LSE Library.
    16. Brice Mayag & Michel Grabisch & Christophe Labreuche, 2009. "A characterization of the 2-additive Choquet integral through cardinal information," Post-Print halshs-00445132, HAL.
    17. Pereira, Miguel Alves & Figueira, José Rui & Marques, Rui Cunha, 2020. "Using a Choquet integral-based approach for incorporating decision-maker’s preference judgments in a Data Envelopment Analysis model," European Journal of Operational Research, Elsevier, vol. 284(3), pages 1016-1030.
    18. Ranger, Nicola & Niehörster, Falk, 2011. "Deep uncertainty in long-term hurricane risk: scenario generation and implications for future climate experiments," LSE Research Online Documents on Economics 37587, London School of Economics and Political Science, LSE Library.
    19. Michel Grabisch, 2015. "Bases and transforms of set functions," Post-Print halshs-01169287, HAL.
    20. Stephen C. Newbold & Charles Griffiths & Chris Moore & Ann Wolverton & Elizabeth Kopits, 2013. "A Rapid Assessment Model For Understanding The Social Cost Of Carbon," Climate Change Economics (CCE), World Scientific Publishing Co. Pte. Ltd., vol. 4(01), pages 1-40.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:311:y:2023:i:2:p:679-689. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.