Foundations for an algebraic theory of conditioning

DOI10.1016/0165-0114(91)90092-5zbMath0745.06005OpenAlexW2047309341MaRDI QIDQ1175735

Irwin R. Goodman, Nguyen Trung Hung

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0165-0114(91)90092-5

zbMATH Keywords

Boolean ringscosetsconditional probabilityvon Neumann regular ringsmeasure-free conditional objects

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50) Ring-theoretic properties of Boolean algebras (06E20)

Related Items (3)

The logical view of conditioning and its application to possibility and evidence theories ⋮ Conditioning on MV-algebras and additive measures. I ⋮ Evaluation of combinations of conditioned information: A history

Cites Work

• An algebraic synthesis of the foundations of logic and probability
• Boole's logic and probability. A critical exposition from the standpoint of contemporary algebra, logic and probability theory
• An algebra of conditional events
• The axioms and algebra of intuitive probability
• Implicative Boolean algebra
• Certain Classes of Ideals in Polynomial Rings
• A Characterization of Implicative Boolean Rings
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