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The aim of this report is to present a new family of generalized truth values which contain ontological, epistemic and vagueness dimensions and form the ordered structures known as a lattices in mathematics. This set may serve as a basis for constructing different logical systems on the one hand and modeling some epistemic situations and cognitive processes on the other. In particular I sketch some interpretations of special logical operations, classical seminegations, in the field of study a phenomenon of dissociation in neuropsychology.