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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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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