Abstract
In this paper, we study the Ferrers property of relations in the context of fuzzy preference modelling. A logical approach leads us to the notion of T-Ferrers relations, while a relational approach brings us to T-biorders. We characterize the t-norms for which both notions coincide. We also describe the kind of completeness exhibited by reflexive T-Ferrers relations or reflexive T-biorders. Finally, we investigate the relationship between the T-Ferrers properties of a reflexive fuzzy relation R and the corresponding strict preference relation P, and the relationship between R and P being T-biorders.
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Díaz, S., De Baets, B., Montes, S. (2003). T-Ferrers Relations versus T-biorders. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_32
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DOI: https://doi.org/10.1007/3-540-44967-1_32
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