May 26, 2019   5:23 p.m. Dušan
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COMPLETION OF PARTIAL INFORMATION UNDER UNCERTAINTY

Supervisor: doc. Mgr. Andrea Stupňanová, PhD.


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Project description:The main goal of the project will be the extension of aggregation functions from a partially given information about an aggregation process, obtaining aggregation functions with the required properties and satisfying given conditions. We will focus above all on aggregation functions used in probability and statistics, in applications of fuzzy logic in inference processes and in multicriteria decision making. Our investigations have partially started during the solution of the project VEGA 1/3012/06 in the area of 1-Lipschitz aggregation functions, esspecially copulas and quasi-copulas. A new direction in our investigation will be completion of a partially given information on an aggregation process by means of various types of fuzzy integrals, primarily by means of recently introduced level dependent Choquet and Sugeno integrals, but also by general fuzzy integrals based on pseudo-operations. In the final period of the solution of the project we also focus on multi-step aggregation based on generalized integrals and on application of the results in multicriteria decision making. In addition to various types of constructions of aggregation functions with required properties, we will also solve the problem of the uniqueness of the obtained extension and determining the best possible bounds for aggregation functions satisfying given conditions. Finally, we intend to study generalized MV-algebras and also the structure of lattice ordered konoide.
Kind of project:VEGA ()
Department:Department of Mathematics and Constructive Geometry (FCE)
Project identification:1/0198/09-SvF
Project status:Not approved
Project start date :01. 02. 2009
Project close date:31. 12. 2011
Number of workers in the project:3
Number of official workers in the project:0