Abstract
In continuation of the research in Alcantud and Díaz [1], we investigate the relationships between consistency axioms in the framework of fuzzy choice functions. In order to help disclose the role of a t-norm in such analyses, we start to study the situation that arises when we use other t-norms instead. We conclude that unless we impose further structure on the domain of application for the choices, the use of the Łukasiewicz t-norm as a replacement for the minimum t-norm does not guarantee a better performance.
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Acknowledgment
The authors are grateful to Humberto Bustince for suggesting this line of research, and to the four anonymous referees for their detailed coments. Susana Díaz and Susana Montes acknowledge financial support by the Spanish Ministerio de Economía y Competitividad under Project TIN2014-59543-P.
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Díaz, S., Alcantud, J.C.R., Montes, S. (2018). Consistency Properties for Fuzzy Choice Functions: An Analysis with the Łukasiewicz t-norm. In: Medina, J., et al. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations. IPMU 2018. Communications in Computer and Information Science, vol 854. Springer, Cham. https://doi.org/10.1007/978-3-319-91476-3_27
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