Why Unary Quality Indicators Are Not Inferior to Binary Quality Indicators

  • Authors:
  • Giovanni Lizárraga;Marco Jimenez Gomez;Mauricio Garza Castañon;Jorge Acevedo-Davila;Salvador Botello Rionda

  • Affiliations:
  • Corporación Mexicana de Investigación en Materiales S.A. de C.V. Ciencia y Tecnología 790, Saltillo, México;Corporación Mexicana de Investigación en Materiales S.A. de C.V. Ciencia y Tecnología 790, Saltillo, México;Corporación Mexicana de Investigación en Materiales S.A. de C.V. Ciencia y Tecnología 790, Saltillo, México;Corporación Mexicana de Investigación en Materiales S.A. de C.V. Ciencia y Tecnología 790, Saltillo, México;Center of Research in Mathematics., Guanajuato, México

  • Venue:
  • MICAI '09 Proceedings of the 8th Mexican International Conference on Artificial Intelligence
  • Year:
  • 2009

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Abstract

When evaluating the quality of non---dominated sets, two families of quality indicators are frequently used: unary quality indicators (UQI) and binary quality indicators (BQI). For several years, UQIs have been considered inferior to BQIs. As a result, the use of UQIs has been discouraged, even when in practice they are easier to use. In this work, we study the reasons why UQIs are considered inferior. We make a detailed analysis of the correctness of these reasons and the implicit assumptions in which they are based. The conclusion is that, contrary to what is widely believed, unary quality indicators are not inferior to binary ones.