Intuitionistic fuzzy preference relations

We consider properties of intuitionistic fuzzy preference relations. We study preservation of a preference relation by lattice operations, composition and some Atanassov’s operators like F, , P, , Q, , where , 2 [0,1]. We also define semi-properties of intuitionistic fuzzy relations, namely reflexivity, irreflexivity, connectedness, asymmetry, transitivity. Moreover, we study under which assumptions intuitionistic fuzzy preference relations fulfil these properties. In all these cases, if possible, we try to give characterizations of adequate properties.

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