States of finite GBL-algebras with monoidal sum

DOI10.1016/j.fss.2016.09.017zbMath1393.06009OpenAlexW2531541396MaRDI QIDQ2013841

Francesco Marigo, Brunella Gerla, Tommaso Flaminio

Publication date: 9 August 2017

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2016.09.017

zbMATH Keywords

statesweighted posetsresiduated latticesGBL-algebras

Mathematics Subject Classification ID

Heyting algebras (lattice-theoretic aspects) (06D20) Other algebras related to logic (03G25) MV-algebras (06D35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Belief functions on distributive lattices
• From classical to intuitionistic probability
• Advanced Łukasiewicz calculus and MV-algebras
• Every state on semisimple MV-algebra is integral
• On the structure of generalized BL-algebras
• Residuated lattices. An algebraic glimpse at substructural logics
• MV-algebras with internal states and probabilistic fuzzy logics
• Embedding theorems for classes of GBL-algebras
• De Finetti's no-Dutch-book criterion for Gödel logic
• Metamathematics of fuzzy logic
• Extending Stone duality to multisets and locally finite MV-algebras.
• Generalized MV-algebras
• Algebraic foundations of many-valued reasoning
• Averaging the truth-value in Łukasiewicz logic
• De Finetti theorem and Borel states in \([0, 1\)-valued algebraic logic]
• The Blok-Ferreirim theorem for normal GBL-algebras and its application
• Belief functions on lattices
• Applications of Finite Duality to Locally Finite Varieties of BL-Algebras
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]