Trapezoidal approximation and aggregation

  • Authors:
  • Adrian Ban;Lucian Coroianu;Przemysław Grzegorzewski

  • Affiliations:
  • Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania;Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania and Department of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, ...;Systems Research Institute, Polish Academy of Sciences, Newelska 6, 01-447 Warsaw, Poland and Faculty of Mathematics and Information Science, Warsaw University of Technology, Plac Politechniki 1, ...

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2011

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Abstract

Trapezoidal approximation of fuzzy numbers is discussed in relation to data aggregation. An important problem whether it is better to simplify initial data before using an aggregation operator or conversely, to aggregate original fuzzy values and then to simplify the output is addressed.