Uncertainty from the point of view of probability theory, algebra, self-adjoint operators, and quantum structuresSupervisor: doc. Mgr. Gejza Jenča, PhD.
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|Project description:||Using the most progressive algebraic and probabilistic methods we describe in details both partial and total algebraic structures, namely effect algebras and pseudo effect algebras and their generalizations appropriate, to describe uncertainty in quantum structures and to find their relations to both partially and lattice ordered groups and residuated structures. The uncertainty will be studied from probabilistic, algebraic, categorical, topological, quantum--statistical, state operators on MV-algebras, and from one of self-adjoint and aggregation operators points of view.|
|Kind of project:||APVV - Všeobecná výzva ()|
|Department:||Department of Mathematics and Constructive Geometry (FCE), Institute of Computer Science and Mathematics (FEEIT)|
|Project status:||Successfully completed|
|Project start date :||01. 07. 2012|
|Project close date:||31. 12. 2015|
|Number of workers in the project:||4|
|Number of official workers in the project:||0|