IDEAS home Printed from https://ideas.repec.org/a/spr/jbecon/v86y2016i1d10.1007_s11573-015-0786-0.html
   My bibliography  Save this article

NAUTILUS framework: towards trade-off-free interaction in multiobjective optimization

Author

Listed:
  • Kaisa Miettinen

    (University of Jyvaskyla, Department of Mathematical Information Technology)

  • Francisco Ruiz

    (Universidad de Málaga)

Abstract

In this paper, we present a framework of different interactive NAUTILUS methods for multiobjective optimization. In interactive methods, the decision maker iteratively sees solution alternatives and provides one’s preferences in order to find the most preferred solution. We question the widely used setting that the solutions shown to the decision maker should all be Pareto optimal which implies that improvement in any objective function necessitates allowing impairment in some others. Instead, in NAUTILUS we enable the decision maker to make a free search without having to trade-off by starting from an inferior solution and iteratively approaching the Pareto optimal set by allowing all objective functions to improve. The framework presented consists of different modules for preference elicitation and optimization. Four main NAUTILUS method variants are introduced as well as ideas of utilizing the framework in a flexible way to derive further variants.

Suggested Citation

  • Kaisa Miettinen & Francisco Ruiz, 2016. "NAUTILUS framework: towards trade-off-free interaction in multiobjective optimization," Journal of Business Economics, Springer, vol. 86(1), pages 5-21, January.
    • Handle: RePEc:spr:jbecon:v:86:y:2016:i:1:d:10.1007_s11573-015-0786-0
    DOI: 10.1007/s11573-015-0786-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11573-015-0786-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s11573-015-0786-0?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. Abel, Ami & Korhonen, Pekka, 1996. "Using aspiration levels in an interactive interior multiobjective linear programming algorithm," European Journal of Operational Research, Elsevier, vol. 89(1), pages 193-201, February.
    2. Aloysius, John A. & Davis, Fred D. & Wilson, Darryl D. & Ross Taylor, A. & Kottemann, Jeffrey E., 2006. "User acceptance of multi-criteria decision support systems: The impact of preference elicitation techniques," European Journal of Operational Research, Elsevier, vol. 169(1), pages 273-285, February.
    3. Kaisa Miettinen & Dmitry Podkopaev & Francisco Ruiz & Mariano Luque, 2015. "A new preference handling technique for interactive multiobjective optimization without trading-off," Journal of Global Optimization, Springer, vol. 63(4), pages 633-652, December.
    4. Luque, Mariano & Miettinen, Kaisa & Eskelinen, Petri & Ruiz, Francisco, 2009. "Incorporating preference information in interactive reference point methods for multiobjective optimization," Omega, Elsevier, vol. 37(2), pages 450-462, April.
    5. Miettinen, Kaisa & Eskelinen, Petri & Ruiz, Francisco & Luque, Mariano, 2010. "NAUTILUS method: An interactive technique in multiobjective optimization based on the nadir point," European Journal of Operational Research, Elsevier, vol. 206(2), pages 426-434, October.
    6. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    7. Ehtamo, Harri & Kettunen, Eero & Hamalainen, Raimo P., 2001. "Searching for joint gains in multi-party negotiations," European Journal of Operational Research, Elsevier, vol. 130(1), pages 54-69, April.
    8. Ruiz, Ana B. & Sindhya, Karthik & Miettinen, Kaisa & Ruiz, Francisco & Luque, Mariano, 2015. "E-NAUTILUS: A decision support system for complex multiobjective optimization problems based on the NAUTILUS method," European Journal of Operational Research, Elsevier, vol. 246(1), pages 218-231.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Eyvindson, Kyle & Repo, Anna & Mönkkönen, Mikko, 2018. "Mitigating forest biodiversity and ecosystem service losses in the era of bio-based economy," Forest Policy and Economics, Elsevier, vol. 92(C), pages 119-127.
    2. Ana B. Ruiz & Francisco Ruiz & Kaisa Miettinen & Laura Delgado-Antequera & Vesa Ojalehto, 2019. "NAUTILUS Navigator: free search interactive multiobjective optimization without trading-off," Journal of Global Optimization, Springer, vol. 74(2), pages 213-231, June.
    3. Bhupinder Singh Saini & Michael Emmerich & Atanu Mazumdar & Bekir Afsar & Babooshka Shavazipour & Kaisa Miettinen, 2022. "Optimistic NAUTILUS navigator for multiobjective optimization with costly function evaluations," Journal of Global Optimization, Springer, vol. 83(4), pages 865-889, August.
    4. Bekir Afsar & Johanna Silvennoinen & Francisco Ruiz & Ana B. Ruiz & Giovanni Misitano & Kaisa Miettinen, 2024. "An experimental design for comparing interactive methods based on their desirable properties," Annals of Operations Research, Springer, vol. 338(2), pages 835-856, July.
    5. Maciej Nowak & Tadeusz Trzaskalik, 2022. "A trade-off multiobjective dynamic programming procedure and its application to project portfolio selection," Annals of Operations Research, Springer, vol. 311(2), pages 1155-1181, April.

    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. Ana B. Ruiz & Francisco Ruiz & Kaisa Miettinen & Laura Delgado-Antequera & Vesa Ojalehto, 2019. "NAUTILUS Navigator: free search interactive multiobjective optimization without trading-off," Journal of Global Optimization, Springer, vol. 74(2), pages 213-231, June.
    2. Kaisa Miettinen & Dmitry Podkopaev & Francisco Ruiz & Mariano Luque, 2015. "A new preference handling technique for interactive multiobjective optimization without trading-off," Journal of Global Optimization, Springer, vol. 63(4), pages 633-652, December.
    3. Miettinen, Kaisa & Eskelinen, Petri & Ruiz, Francisco & Luque, Mariano, 2010. "NAUTILUS method: An interactive technique in multiobjective optimization based on the nadir point," European Journal of Operational Research, Elsevier, vol. 206(2), pages 426-434, October.
    4. Korhonen, Pekka J. & Wallenius, Jyrki & Genc, Tolga & Xu, Peng, 2021. "On rational behavior in multi-attribute riskless choice," European Journal of Operational Research, Elsevier, vol. 288(1), pages 331-342.
    5. Ruiz, Ana B. & Sindhya, Karthik & Miettinen, Kaisa & Ruiz, Francisco & Luque, Mariano, 2015. "E-NAUTILUS: A decision support system for complex multiobjective optimization problems based on the NAUTILUS method," European Journal of Operational Research, Elsevier, vol. 246(1), pages 218-231.
    6. Bhupinder Singh Saini & Michael Emmerich & Atanu Mazumdar & Bekir Afsar & Babooshka Shavazipour & Kaisa Miettinen, 2022. "Optimistic NAUTILUS navigator for multiobjective optimization with costly function evaluations," Journal of Global Optimization, Springer, vol. 83(4), pages 865-889, August.
    7. Jiménez, Mariano & Bilbao-Terol, Amelia & Arenas-Parra, Mar, 2021. "Incorporating preferential weights as a benchmark into a Sequential Reference Point Method," European Journal of Operational Research, Elsevier, vol. 291(2), pages 575-585.
    8. Piercy, Craig A. & Steuer, Ralph E., 2019. "Reducing wall-clock time for the computation of all efficient extreme points in multiple objective linear programming," European Journal of Operational Research, Elsevier, vol. 277(2), pages 653-666.
    9. Ziho Kang & Thomas Morin, 2016. "Multi-Attribute Decision Making in a Bidding Game with Imperfect Information and Uncertainty," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 63-81, January.
    10. Seow Eng Ong & Davin Wang & Calvin Chua, 2023. "Disruptive Innovation and Real Estate Agency: The Disruptee Strikes Back," The Journal of Real Estate Finance and Economics, Springer, vol. 67(2), pages 287-317, August.
    11. Herrmann, Tabea & Hübler, Olaf & Menkhoff, Lukas & Schmidt, Ulrich, 2016. "Allais for the poor," Kiel Working Papers 2036, Kiel Institute for the World Economy (IfW Kiel).
    12. Christiane Goodfellow & Dirk Schiereck & Steffen Wippler, 2013. "Are behavioural finance equity funds a superior investment? A note on fund performance and market efficiency," Journal of Asset Management, Palgrave Macmillan, vol. 14(2), pages 111-119, April.
    13. Berg, Joyce E. & Rietz, Thomas A., 2019. "Longshots, overconfidence and efficiency on the Iowa Electronic Market," International Journal of Forecasting, Elsevier, vol. 35(1), pages 271-287.
    14. Reckers, Philip M.J. & Sanders, Debra L. & Roark, Stephen J., 1994. "The Influence of Ethical Attitudes on Taxpayer Compliance," National Tax Journal, National Tax Association;National Tax Journal, vol. 47(4), pages 825-836, December.
    15. Bier, Vicki & Gutfraind, Alexander, 2019. "Risk analysis beyond vulnerability and resilience – characterizing the defensibility of critical systems," European Journal of Operational Research, Elsevier, vol. 276(2), pages 626-636.
    16. Sitinjak Elizabeth Lucky Maretha & Haryanti Kristiana & Kurniasari Widuri & Sasmito Yohanes Wisnu Djati, 2019. "Investor behavior based on personality and company life cycle," HOLISTICA – Journal of Business and Public Administration, Sciendo, vol. 10(2), pages 23-38, August.
    17. Theo Arentze & Tao Feng & Harry Timmermans & Jops Robroeks, 2012. "Context-dependent influence of road attributes and pricing policies on route choice behavior of truck drivers: results of a conjoint choice experiment," Transportation, Springer, vol. 39(6), pages 1173-1188, November.
    18. van den Bergh, J.C.J.M. & Botzen, W.J.W., 2015. "Monetary valuation of the social cost of CO2 emissions: A critical survey," Ecological Economics, Elsevier, vol. 114(C), pages 33-46.
    19. Frank D. Hodge & Roger D. Martin & Jamie H. Pratt, 2006. "Audit Qualifications of Income†Decreasing Accounting Choices," Contemporary Accounting Research, John Wiley & Sons, vol. 23(2), pages 369-394, June.
    20. Philippe Fevrier & Sebastien Gay, 2005. "Informed Consent Versus Presumed Consent The Role of the Family in Organ Donations," HEW 0509007, University Library of Munich, Germany.

    More about this item

    Keywords

    Interactive methods; Multicriteria optimization; Pareto optimality;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    Statistics

    Access and download statistics

    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:spr:jbecon:v:86:y:2016:i:1:d:10.1007_s11573-015-0786-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.