Abstract
Aggregation functions are employed to combine inputs that are typically interpreted as degrees of membership in fuzzy sets, degrees of preference, strength of evidence or support of a hypothesis. The behavior of each aggregation function can be associated to the area of distributive justice, which refers to fairness in the way data are distributed. Two important theories of distributive justice commonly considered are the utilitarianism and egalitarianism, but some alternative theories, as the sufficientarianism, has gained attention recently. This paper presents three different versions of sufficientarianism as aggregation functions: the weak, axiological and strong sufficientarianism. Additionally, we introduce new logical properties related to the sufficientarianism and show which of these new aggregation functions satisfy them. In particular, we prove the axiological aggregation functions introduced here satisfy an important logical property whereas the weak sufficientarian functions do not. On the other hand, we also show the strong sufficientarian aggregation functions may lead to the loss of logical properties.
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References
Beliakov, G., Pradera, A., Calvo, T.: Aggregation Functions: A Guide for Practitioners. Studies in Fuzziness and Soft Computing. Springer, Heidelberg (2009). https://doi.org/10.1007/978-3-540-73721-6
Casal, P.: Why sufficiency is not enough. Ethics 117(2), 296–326 (2007)
Chung, H.: Prospect utilitarianism: a better alternative to sufficientarianism. Philos. Stud. 174(8), 1911–1933 (2016). https://doi.org/10.1007/s11098-016-0775-3
Cook, K.S., Hegtvedt, K.A.: Distributive justice, equity, and equality. Annu. Rev. Sociol. 9(1), 217–241 (1983)
Detyniecki, M.: Fundamentals on aggregation operators. This manuscript is based on Detyniecki’s doctoral thesis and can be downloaded from (2001). http://www.cs.berkeley.edu/~marcin/agop.pdf
Frankfurt, H.: Equality as a moral ideal. Ethics 98(1), 21–43 (1987)
Hirose, I.: Axiological sufficientarianism. In: Fourie, C., Annette, R. (eds.) How Much Is Enough? Sufficiency and Thresholds in Health Care (2014)
Mill, J.S.: Utilitarianism. In: Seven Masterpieces of Philosophy, pp. 337–383. Routledge (2016)
Rawls, J.: Justice as Fairness: A Restatement. Harvard University Press, Cambridge (2001)
Rawls, J.: A Theory of Justice. Harvard University Press, Cambridge (2009)
Rescher, N.: Distributive Justice. Information and Interdisciplinary Subjects Series. University Press of America, G - Reference (1982)
Segall, S.: What is the point of sufficiency? J. Appl. Philos. 33(1), 36–52 (2016)
Sen, A.: Utilitarianism and welfarism. J. Philos. 76(9), 463–489 (1979)
Shields, L.: The prospects for sufficientarianism. Utilitas 24, 101–117 (2012)
Smart, J.J.C., Williams, B.: Utilitarianism: For and Against. Cambridge University Press, Cambridge (1973)
Tungodden, B.: Egalitarianism: Is Leximin the Only Option? Working papers, Norwegian School of Economics and Business Administration (1999)
Williams, B.: A Critique of Utilitarianism. Cambridge University Press, Cambridge (1973)
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Viana, H., Alcântara, J. (2020). Aggregation with Weak, Axiological and Strong Sufficientarian Functions. In: Cerri, R., Prati, R.C. (eds) Intelligent Systems. BRACIS 2020. Lecture Notes in Computer Science(), vol 12320. Springer, Cham. https://doi.org/10.1007/978-3-030-61380-8_15
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