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Aggregation with T-Norms and LexiT-Orderings and Their Connections with the Leximin Principle

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Fuzzy Information Processing (NAFIPS 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 831))

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Abstract

We analyze the impact of applying families of T-norm and LexiT-ordering aggregation functions in the context of egalitarian reasoning. We compare both of them with the minimum and lexicographic minimum aggregation functions, which are well-known functions used in the aggregation approach in the decision making problem. For this task, we consider three logical properties in the Social Choice theory and Economics: Hammond Equity, Strong Pareto and Anonymity. It is known that lexicographic minimum satisfies all of these properties. We present in this paper some conditions to T-norms and LexiT-orderings satisfy these logical properties or restrictions of them.

This research is supported by CNPq and CAPES.

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Authors and Affiliations

  1. Department of Computer Science, Federal University of Ceará, Fortaleza, Brazil

    Henrique Viana & João Alcântara

Authors
  1. Henrique Viana
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  2. João Alcântara
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Correspondence to Henrique Viana .

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Editors and Affiliations

  1. Department of Teleinformatics Engineering, Federal University of Ceará, Fortaleza, Ceará, Brazil

    Guilherme A. Barreto

  2. Department of Statistics & Applied Mathematics, Federal University of Ceará, Fortaleza, Ceará, Brazil

    Ricardo Coelho

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Viana, H., Alcântara, J. (2018). Aggregation with T-Norms and LexiT-Orderings and Their Connections with the Leximin Principle. In: Barreto, G., Coelho, R. (eds) Fuzzy Information Processing. NAFIPS 2018. Communications in Computer and Information Science, vol 831. Springer, Cham. https://doi.org/10.1007/978-3-319-95312-0_16

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  • DOI: https://doi.org/10.1007/978-3-319-95312-0_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95311-3

  • Online ISBN: 978-3-319-95312-0

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