| EUSFLAT- LFA 2005 ON SOME CHARACTERIZATIONS OF COMPLETE FUZZY PREORDERS (2009) | |||||||||||||||
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| We study different characterizations for the transitivity of reflexive fuzzy relations under completeness. We depart from some properties equivalent to the definition of a crisp preorder. We study if the same conditions characterize the transitivity of reflexive relations in the fuzzy set context. Instead of restricting ourselves to t-norms, we work in the more general setting of conjunctors. We consider two different completeness conditions: strong completeness and absence of incomparability. | |||||||||||||||
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