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Algorithms for Generating Sets of Gambles for Decision Making with Lower Previsions

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Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2020)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 12482))

Abstract

\(\varGamma \)-maximin, \(\varGamma \)-maximax, maximality and interval dominance are well-known criteria for decision making using lower previsions when precise probabilities are not available. This study proposes algorithms for generating a set of gambles that has a precise number of \(\varGamma \)-maximin (or \(\varGamma \)-maximax) gambles that can be used to generate random decision problems for benchmarking algorithms for finding \(\varGamma \)-maximin (or \(\varGamma \)-maximax) gambles. Since \(\varGamma \)-maximin and \(\varGamma \)-maximax imply maximality and interval dominance, the algorithms can also be used as an alternative algorithm for generating random decision problems with pre-determined numbers of maximal and interval dominant gambles.

Supported by Data Science Research Center, Department of Statistics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand.

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Acknowledgement

This research is supported by Data Science Research Center, Department of Statistics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand. The author would like to thank Prof. Matthias Troffaes and Assoc. Prof. Camila C.S. Caiado for their helps and suggestions.

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Authors and Affiliations

  1. Data Science Research Center, Department of Statistics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand

    Nawapon Nakharutai

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  1. Nawapon Nakharutai
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Correspondence to Nawapon Nakharutai .

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Editors and Affiliations

  1. Japan Advanced Institute of Science and Technology, Nomi, Ishikawa, Japan

    Van-Nam Huynh

  2. University of Hyogo, Kobe, Japan

    Tomoe Entani

  3. Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani, Thailand

    Chawalit Jeenanunta

  4. Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan

    Masahiro Inuiguchi

  5. Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani, Thailand

    Pisal Yenradee

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Nakharutai, N. (2020). Algorithms for Generating Sets of Gambles for Decision Making with Lower Previsions. In: Huynh, VN., Entani, T., Jeenanunta, C., Inuiguchi, M., Yenradee, P. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2020. Lecture Notes in Computer Science(), vol 12482. Springer, Cham. https://doi.org/10.1007/978-3-030-62509-2_6

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  • DOI: https://doi.org/10.1007/978-3-030-62509-2_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-62508-5

  • Online ISBN: 978-3-030-62509-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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