6533b832fe1ef96bd129a21a

RESEARCH PRODUCT

Conditioning on MV-algebras and additive measures —I

Siegfried Weber

subject

AlgebraArtificial IntelligenceLogicTwo-element Boolean algebraFuzzy setFuzzy numberBoolean expressionStone's representation theorem for Boolean algebrasBoolean algebras canonically definedComplete Boolean algebraFuzzy logicMathematics

description

Abstract We present a lattice-ordered semigroup approach for the foundation of conditional events which covers the special situations where the underlying (unconditional) events are Boolean or fuzzy, respectively. Our proposal is quite different from other, ring theoretical, approaches. The problem of extending additivity of uncertainty measures from unconditional to conditional events will be discussed.

https://doi.org/10.1016/s0165-0114(97)00173-5