Weak effect algebras
From Mathfuzzlog
Authors: |
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Title: | Weak effect algebras | |
Journal: | Algebra Universalis | |
Volume | 58 | |
Number | ||
Pages: | 129 - 143 | |
Year: | 2008 |
Abstract
Article on the interrelation between effect algebras, which play a role in quantum physics, and BL-algebras, the algebraic counterpart of Hájek's Basic Fuzzy Logic. In particular, weak effect algebras are introduced; any BL-algebra can be understood as a weak effect algebra. For a subclass of the weak effect algebras, a structure theory is developed, generalizing and simplifying the analysis of BL-algebras