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A Review of Fuzzy Sets in Decision Sciences: Achievements, Limitations and Perspectives

In: Multiple Criteria Decision Analysis

Author

Listed:
  • Didier Dubois

    (IRIT, CNRS & Université de Toulouse)

  • Patrice Perny

    (LIP6, Université P. et M. Curie)

Abstract

We try to provide a tentative assessment of the role of fuzzy sets in decision analysis. We discuss membership functions, aggregation operations, linguistic variables, fuzzy intervals and valued preference relations. The importance of the notion of bipolarity and the potential of qualitative evaluation methods are also pointed out. We take a critical standpoint on the state of the art, in order to highlight the actual achievements and try to better assess what is often considered debatable by decision scientists observing the fuzzy decision analysis literature.

Suggested Citation

  • Didier Dubois & Patrice Perny, 2016. "A Review of Fuzzy Sets in Decision Sciences: Achievements, Limitations and Perspectives," International Series in Operations Research & Management Science, in: Salvatore Greco & Matthias Ehrgott & José Rui Figueira (ed.), Multiple Criteria Decision Analysis, edition 2, chapter 0, pages 637-691, Springer.
    • Handle: RePEc:spr:isochp:978-1-4939-3094-4_16
    DOI: 10.1007/978-1-4939-3094-4_16
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    Cited by:

    1. Figueira, José Rui & Oliveira, Henrique M. & Serro, Ana Paula & Colaço, Rogério & Froes, Filipe & Robalo Cordeiro, Carlos & Diniz, António & Guimarães, Miguel, 2023. "A multiple criteria approach for building a pandemic impact assessment composite indicator: The case of COVID-19 in Portugal," European Journal of Operational Research, Elsevier, vol. 309(2), pages 795-818.
    2. Robert Huber & Hang Xiong & Kevin Keller & Robert Finger, 2022. "Bridging behavioural factors and standard bio‐economic modelling in an agent‐based modelling framework," Journal of Agricultural Economics, Wiley Blackwell, vol. 73(1), pages 35-63, February.

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