Research Explorer

Project

Contour lines, companions and zooms: new tools for studying aggregation operators
Code
01P06507
Duration
01 October 2007 → 31 March 2008
Funding
Regional and community funding: Special Research Fund
Research disciplines
  • Natural sciences
    • Analysis
    • Applied mathematics in specific fields
    • Statistics
    • Numerical methods
Keywords
companion contour lines zooms aggregation-operators
 
Project description
 

Monotone functions are used in many fields of science to aggregate multiple numerical inputs into a single numerical output. Invoking three new tools (contour lines, the companion and zooms) we aspire to gain new insights into the geometrical structure and algebraic properties of these aggregation operators. Our goal is threefold: exploration of the concepts, dimensional expansion and application.