T
Thomas Vetterlein
Researcher at Johannes Kepler University of Linz
Publications - 87
Citations - 926
Thomas Vetterlein is an academic researcher from Johannes Kepler University of Linz. The author has contributed to research in topics: Commutative property & Fuzzy logic. The author has an hindex of 13, co-authored 82 publications receiving 832 citations. Previous affiliations of Thomas Vetterlein include Medical University of Vienna & Slovak Academy of Sciences.
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Pseudoeffect Algebras. I. Basic Properties
TL;DR: Several kinds of Riesz-like properties for pseudoeffect algebras are defined for the purpose of a structure theory and shown how they are interrelated.
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Pseudoeffect Algebras. II. Group Representations
TL;DR: In this article, the relation of pseudoeffect to pseudo-MV algebras is made clear, and the &ell-group representation theorem for the latter structure is re-proved.
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Congruences and States on Pseudoeffect Algebras
TL;DR: In this article, it was shown that any interval pseudoeffect algebra maps homomorphically into an effect algebra whose states are in a one-to-one correspondence to the states of the original algebra.
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Fuzzy Arden Syntax: A fuzzy programming language for medicine
TL;DR: Fuzzy Arden Syntax offers the possibility to formulate conveniently Medical Logic Modules (MLMs) based on the principle of a continuously graded applicability of statements, and ad hoc decisions about sharp value boundaries can be avoided.
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Algebras in the Positive Cone of po-Groups
TL;DR: A number of algebras that are especially known in the field of quantum structures and that in particular arise from the positive cones of partially ordered groups are systemize, establishing the exact relations between all mentioned structures.