Abstract
We define continuity for utility functions representing fuzzy preferences and prove that, as in the case of crisp preferences, fuzzy preferences representable by a utility function are representable by a continuous utility function.
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Knoblauch, V. (2020). Continuous Utility Representation of Fuzzy Preferences. In: Bosi, G., Campión, M., Candeal, J., Indurain, E. (eds) Mathematical Topics on Representations of Ordered Structures and Utility Theory. Studies in Systems, Decision and Control, vol 263. Springer, Cham. https://doi.org/10.1007/978-3-030-34226-5_16
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DOI: https://doi.org/10.1007/978-3-030-34226-5_16
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