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Pseudo-Additions and Shift Invariant Aggregation Functions

  • Andrea StupňanováEmail author
  • Doretta Vivona
  • Maria Divari
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 981)

Abstract

Shift invariant aggregation functions are related to the shifts based on the standard addition \(+\) and their complete characterization is well known. We discuss the aggregation functions invariant with respect to a pseudo-addition \(\oplus \). Our study has two directions. In the first one, we discuss \(\oplus \)-shift invariant aggregation functions with respect to a fixed pseudo-addition \(\oplus \). In the second one, for a fixed aggregation function A, we discuss pseudo-additions \(\oplus \) such that A is \(\oplus \)-shift invariant.

Keywords

Aggregation function Pseudo-addition Shift invarriantness 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Faculty of Civil EngineeringSlovak University of Technology in BratislavaBratislavaSlovak Republic
  2. 2.Faculty of Civil and Industrial EngineeringSapienza - University of RomeRomeItaly

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