State BCK-algebras and State-Morphism BCK-algebras

• Main Authors: Borzooei, R. A, Dvurečenskij, A, Zahiri, O
• Format: Journal Article
• Language: English
• Published: 25.04.2013
• Subjects: Mathematics - Commutative Algebra; Mathematics - Rings and Algebras

In the paper, we define the notion of a state BCK-algebra and a state-morphism BCK-algebra extending the language of BCK-algebras by adding a unary operator which models probabilistic reasoning. We present a relation between state operators and state-morphism operators and measures and states on BCK...