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Valuation of Crisp and Intuitionistic Fuzzy Information

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Operations Research Proceedings 2017

Part of the book series: Operations Research Proceedings ((ORP))

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Abstract

The standard model of information valuation as presented by Emery, Organization planning and control systems: theory and technology, Macmillan Pub Co., London, 1969, [1] and Laux, Grundfragen der Organisation: Delegation Anreiz und Kontrolle, Springer, Berlin, 1979, [2] is based on Bayesian statistics. This approach is limited to the processing of a crisp objective function as well as a crisp decision field. It is assumed that information is solely obtained in order to improve prior state probabilities. In this paper, we first present and discuss variations of the standard model, including considerations of potential negative information values. Second, we want to take vague information into account by implementing intuitionistic fuzzy logic.

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References

  1. Emery, J. T. (1969). Organization planning and control systems: Theory and technology. London: Macmillan Pub Co.

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  2. Laux, H. (1979). Grundfragen der Organisation: Delegation Anreiz und Kontrolle. Berlin: Springer.

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  3. Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96. https://doi.org/10.1016/S0165-0114(86)80034-3.

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  4. Metzger, O., & Spengler, T. (2017). Subjektiver Erwartungsnutzen und intuitionistische Fuzzy Werte. In T. Spengler, W. Fichtner, M. J. Geiger, H. Rommelfanger, & O. Metzger (Eds.), Entscheidungsunterstuetzung in Theorie und Praxis (pp. 109–137). Wiesbaden: Springer Gabler. https://doi.org/10.1007/978-3-658-17580-1_6.

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Correspondence to Olga Metzger .

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Metzger, O., Spengler, T., Volkmer, T. (2018). Valuation of Crisp and Intuitionistic Fuzzy Information. In: Kliewer, N., Ehmke, J., Borndörfer, R. (eds) Operations Research Proceedings 2017. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-89920-6_16

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