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Continuous Utility Representation of Fuzzy Preferences

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Mathematical Topics on Representations of Ordered Structures and Utility Theory

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 263))

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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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Authors and Affiliations

  1. Department of Economics, University of Connecticut, 327 Oak Hall, 365 Fairfield Way, Unit 1063, Storrs, CT, 06269-1063, USA

    Vicki Knoblauch

Authors
  1. Vicki Knoblauch
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Correspondence to Vicki Knoblauch .

Editor information

Editors and Affiliations

  1. Dipartimento di Scienze Economiche, Aziendali, Matematiche e Statistiche, Università degli Studi di Trieste, Trieste, Italy

    Gianni Bosi

  2. Departamento de Estadística, Informática y Matemáticas, Universidad Pública de Navarra, Pamplona, Navarra, Spain

    María J. Campión

  3. Facultad de Economía y Empresa, Departamento de Análisis Económico, Universidad de Zaragoza, Zaragoza, Spain

    Juan C. Candeal

  4. Departamento de Estadística, Informática y Matemáticas, Universidad Pública de Navarra, Pamplona, Spain

    Esteban Indurain

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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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