Consistency Properties for Fuzzy Choice Functions: An Analysis with the Łukasiewicz T-Norm

Susana Díaz, José Alcantud, Susana Montes
2018 Axioms  
We focus on the relationships among some consistency axioms in the framework of fuzzy choice functions. In order to help disclose the role of the t-norm in existing analyses, we start to study the situation that arises when we replace the standard t-norm with other t-norms. Our results allow us to 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 standard t-norm does not guarantee a better
more » ... arantee a better performance.
doi:10.3390/axioms7040078 fatcat:kjcfibuvdjgolofhy53bkkylwe