Power stable aggregation functions

  • Authors:

  • Anna Kolesárová;Radko Mesiar;Tatiana Rückschlossová

  • Affiliations:

  • Institute of Information Engineering, Automation and Mathematics, Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Radlinského 9, 812 37 Bratislava 1, S ...;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Radlinského 11, 813 68 Bratislava 1, Slovakia and Centre of Ex ...;Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Radlinského 11, 813 68 Bratislava 1, Slovakia

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2014

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Abstract

We discuss and exemplify binary power stable aggregation functions on the interval [0,1], i.e., log-ratio invariant aggregation functions. For continuous power stable aggregation functions we introduce several methods of constructing dependence functions. We also study dependence functions yielding symmetry, idempotency and some other properties. Finally, continuous associative power stable aggregation functions are completely characterized.