Bosbach states on fuzzy structures
Soft Computing - A Fusion of Foundations, Methodologies and Applications
De Finetti theorem and Borel states in [0,1]-valued algebraic logic
International Journal of Approximate Reasoning
MV-algebras with internal states and probabilistic fuzzy logics
International Journal of Approximate Reasoning
On varieties of MV-algebras with internal states
International Journal of Approximate Reasoning
Soft Computing - A Fusion of Foundations, Methodologies and Applications
International Journal of Approximate Reasoning
State operators on generalizations of fuzzy structures
Fuzzy Sets and Systems
State-morphism algebras---General approach
Fuzzy Sets and Systems
Generalized Bosbach and Riečan states on nucleus-based-Glivenko residuated lattices
Archive for Mathematical Logic
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Recently Flaminio and Montagna (Proceedings of the 5th EUSFLAT Conference, II: 201---206. Ostrava, 2007), (Inter. J. Approx. Reason. 50:138---152, 2009) introduced the notion of a state MV-algebra as an MV-algebra with internal state. We have two kinds: state MV-algebras and state-morphism MV-algebras. These notions were also extended for state BL-algebras in (Soft Comput. doi: 10.1007/s00500-010-0571-5 ). In this paper, we completely describe subdirectly irreducible state-morphism BL-algebras and this generalizes an analogous result for state-morphism MV-algebras presented in (Ann. Pure Appl. Logic 161:161---173, 2009).