The main goal of this paper is to discuss the generalized Bosbach states on EQ-algebras. The notions of generalized Bosbach states of type I and generalized Bosbach states of type II (resp. III, IV, V, VI and VII) are proposed. The equivalent characterizations of these generalized Bosbach states on special EQ-algebras are given. The properties of these generalized Bosbach states and the relationship between them are investigated.
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