Kybernetika 48 no. 3, 453-464, 2012

Generated fuzzy implicators and fuzzy preference structures

Vladislav Biba and Dana Hliněná


The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet $(p,i,j)$, which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.


t-norm, generated fuzzy implication, fuzzy preference structure, fuzzy implications


60A05, 08A72, 28E10


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