S. M Ghasemi Nejad - Department of Mathematics, Payame Noor University, P.O.Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran
R. A. Borzooei - Department of Mathematics, Shahid Beheshti University, Tehran, Iran

The notion of state is analogue of probability theory based on multiple valued algebras. States on basic algebras were introduc ed by Chajda[9]. Now, in this paper, we de ne the concepts of Bosbach and Rie can States and state-morphisms on implication basic algebras and we investigate their properties and related results. We prove that, Bosbach and Rie can states coincide each other on basic algebras, under certain conditions. In the sequel, the relations between Bosbach states and state-morphisms are discussed

Basic algebra, implication basic algebra, Bosbach state, riecan state, state-morphism.