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PhD. Topics

Mathematical Institute

Topic
Classification of aggregation functions on ordered sets
PhD. program
Mathematics (PF UPJŠ, Mathematics (1113))
Year of admission
2026
Name of the supervisor
RNDr. Jozef Pócs, PhD.
Contact:
Receiving school
Faculty of Science, Pavol Jozef Šafárik University Košice
Annotation
The objective of this work is the axiomatic study and analysis of aggregation functions defined on ordered sets. The aim is to classify these functions with regard to the algebraic properties of the structures on which they are defined and their possible applications in decision theory.