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Conjunctive Aggregation Operatos.

Supervisor: prof. RNDr. Anna Kolesárová, CSc.

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Project description:Construction of 1-Lipschitz aggregation operators or their best bounds from a partial information on their domain. Obtaining the results in special classes of 1-Lipschitz aggregation operators, including quasi--copulas and copulas. Introduction of discrete copulas, investigation of their properties and applications in statistics and stochastic processes. Identification of copulas from data, preparation of a software and its applications for the study of the dependence structure of random variables. Investigation of the relations between copulas and measures of association of random variables. Study of the dominance of aggregation operators and triangular norms. Topologies based on fuzzy nearness in the case of logical uncertainty. Application of aggregation operators and dominance in fuzzy topologies.
Kind of project:VEGA ()
Department:Department of Mathematics (IIEAM FCFT)
Project identification:1/3012/06
Project status:Successfully completed
Project start date :01. 01. 2006
Project close date:31. 12. 2008
Number of workers in the project:1
Number of official workers in the project:0