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Multilinear target-based decision analysis with hybrid-information targets and performance levels

Author

Listed:
  • Xinwei Zhang

    (Northwestern Polytechnical University)

  • Qiong Feng

    (Northwestern Polytechnical University)

  • Shurong Tong

    (Northwestern Polytechnical University)

  • Hakki Eres

    (University of Southampton)

Abstract

For several classes of decisions, the use of target-based decision analysis (TBDA) is more appropriate than utility analysis. Recent literature on TBDA mainly focuses on different expression forms of targets and performance levels, and on different types of aggregation operators in terms of multi-attribute preference functions. However, different expression forms are usually introduced separately in literature, which cannot fully support the inherent complexity of problems along with different perception and knowledge levels of decision makers during assessing targets and performance levels. Furthermore, although there are attractive features of multilinear target-based preference functions (MTPFs), its applications are seldom considered because of the complexity of identifying their coefficients. In order to solve these two issues, an integrated approach is proposed for multilinear hybrid-information target-based decision analysis, which can deal with diverse forms of targets and performance levels, and identify the coefficients of MTPFs. First, given targets and performance levels for each attribute being expressed in multiple forms simultaneously, a generalized procedure is proposed to transform different forms into probability distributions, and to measure probability of target achievement for each attribute. Second, a novel procedure to identify the coefficients of MTPFs is proposed. This procedure is based on the multilinear model and 2-additive fuzzy measures, which is based on the equivalence between multilinear model based on fuzzy measures and MTPFs. The approach is applied to a case study involving customer competitive evaluation of smart thermometer patches to demonstrate its feasibility and advantages.

Suggested Citation

  • Xinwei Zhang & Qiong Feng & Shurong Tong & Hakki Eres, 2022. "Multilinear target-based decision analysis with hybrid-information targets and performance levels," Fuzzy Optimization and Decision Making, Springer, vol. 21(4), pages 605-647, December.
    • Handle: RePEc:spr:fuzodm:v:21:y:2022:i:4:d:10.1007_s10700-021-09378-5
    DOI: 10.1007/s10700-021-09378-5
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    References listed on IDEAS

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    1. Kosanoglu, Fuat & Bier, Vicki M., 2020. "Target-oriented utility for interdiction of transportation networks," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    2. Ilia Tsetlin & Robert L. Winkler, 2007. "Decision Making with Multiattribute Performance Targets: The Impact of Changes in Performance and Target Distributions," Operations Research, INFORMS, vol. 55(2), pages 226-233, April.
    3. Keeney,Ralph L. & Raiffa,Howard, 1993. "Decisions with Multiple Objectives," Cambridge Books, Cambridge University Press, number 9780521438834.
    4. Robert Bordley & Marco LiCalzi, 2000. "Decision analysis using targets instead of utility functions," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 23(1), pages 53-74.
    5. Robert F. Bordley & Craig W. Kirkwood, 2004. "Multiattribute Preference Analysis with Performance Targets," Operations Research, INFORMS, vol. 52(6), pages 823-835, December.
    6. Michel Grabisch, 2016. "Set Functions, Games and Capacities in Decision Making," Theory and Decision Library C, Springer, number 978-3-319-30690-2, March.
    7. Feng, Bo & Lai, Fujun, 2014. "Multi-attribute group decision making with aspirations: A case study," Omega, Elsevier, vol. 44(C), pages 136-147.
    8. Marvin H. Berhold, 1973. "The Use of Distribution Functions to Represent Utility Functions," Management Science, INFORMS, vol. 19(7), pages 825-829, March.
    9. Ilia Tsetlin & Robert L. Winkler, 2006. "On Equivalent Target-Oriented Formulations for Multiattribute Utility," Decision Analysis, INFORMS, vol. 3(2), pages 94-99, June.
    10. Karl Borch, 1968. "Decision Rules Depending On The Probability Of Ruin," Oxford Economic Papers, Oxford University Press, vol. 20(1), pages 1-10.
    Full references (including those not matched with items on IDEAS)

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