Annals of Operations Research

, Volume 251, Issue 1–2, pp 301–324

Fuzzy approach to decision analysis with multiple criteria and uncertainty in health technology assessment


DOI: 10.1007/s10479-015-1910-9

Cite this article as:
Jakubczyk, M. & Kamiński, B. Ann Oper Res (2017) 251: 301. doi:10.1007/s10479-015-1910-9


Decision making in health technology assessment (HTA) involves multiple criteria (clinical outcomes vs. cost) and risk (criteria measured with estimation error). A survey conducted among Polish HTA experts shows that opinions how to trade off health against money should be treated as fuzzy. We propose an approach that allows to introduce fuzziness into decision making process in HTA. Specifically, in the paper we (i) define a fuzzy preference relation between health technologies using an axiomatic approach; (ii) link it to the fuzzy willingness-to-pay and willingness-to-accept notions and show the survey results in Poland eliciting these; (iii) incorportate uncertainty additionally to fuzziness and define two concepts to support decision making: fuzzy expected net benefit and fuzzy expected acceptability (the counterparts of expected net benefit and cost-effectiveness acceptability curves, CEACs, often used in HTA). Illustrative examples show that our fuzzy approach may remove some problems with other methods (CEACs possibly being non-monotonic) and better illustrate the amount of uncertainty present in the decision problem. Our framework can be used in other multiple criteria decision problems under risk where trade-off coefficients between criteria are subjectively chosen.


Multiple criteria decision making Fuzzy preferences  Uncertainty  Health technology assessment Willingness to pay Preference elicitation 

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Decision Analysis and Support UnitWarsaw School of EconomicsWarsawPoland

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