A new approach to normalization of interval and fuzzy weights

  • Authors:

  • P. Sevastjanov;L. Dymova;P. Bartosiewicz

  • Affiliations:

  • Institute of Computer and Information Science, Technical University of Czestochowa, Dabrowskiego 73, 42-200 Czestochowa, Poland;Institute of Computer and Information Science, Technical University of Czestochowa, Dabrowskiego 73, 42-200 Czestochowa, Poland;Institute of Computer and Information Science, Technical University of Czestochowa, Dabrowskiego 73, 42-200 Czestochowa, Poland

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2012

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Abstract

A new approach to normalization of interval and fuzzy weights based on the so-called ''interval extended zero'' method is proposed. The three desirable intuitively obvious properties of the normalization procedure are defined. The main of them is based on the assumption that the sum of normalized interval or fuzzy weights should be an interval or a fuzzy value centered around 1 with a minimal width. The advantages of a new approach are illustrated with the use of numerical examples. It is shown that a new approach performs better than known methods for normalization of interval and fuzzy weights as it provides the results with the properties which are close to the desirable ones.