States on EQ -algebras
R. A. Borzooei, Batoul Ganji Saffar · Journal of Intelligent & Fuzzy Systems · 2015
Abstract The notion of state is an analogue to probability measure and it has been studied for different types of structures such as MV -algebras, BL -algebras and BCK algebra. In this paper we define the notion of state on EQ -algebras which is algebraic structure of higher order fuzzy logic and we investigate some properties of them. Then we characterize representable class of state EQ -algebras.