Fuzzy relations and evaluatorsSupervisor: prof. RNDr. Martin Kalina, PhD.
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|Project description:||Evaulators are the mean topic of the project. We will investigate several kinds of evaluators their constructions, properties and applications mainly for construction of similarities. An important property of certain kinds of evaluators is the Ttransitivity (which is connected with the dominance). We will investigate these properties. Further, we focus our interest to fuzzy relations, mainly to modelling of similarity relations to the topological aspects but also to their constructions. Special evaluators are states in lattices, whose main property is the additivity. We will study joint and conditional states in different quantum structures. A generalization of evaluators for n inputs, where n is a variable, are aggregation functions. In this area we will study mainly some construction methods.|
|Kind of project:||VEGA ()|
|Department:||Department of Mathematics and Constructive Geometry (FCE)|
|Project status:||Not approved|
|Project start date :||01. 01. 2009|
|Project close date:||31. 12. 2011|
|Number of workers in the project:||2|
|Number of official workers in the project:||0|