A new method for normalization of interval weights

Authors:
Pavel Sevastjanov;Pavel Bartosiewicz;Kamil Tkacz
Affiliations:
Institute of Comp. & Information Sci., Czestochowa University of Technology, Czestochowa, Poland;Institute of Comp. & Information Sci., Czestochowa University of Technology, Czestochowa, Poland;Institute of Comp. & Information Sci., Czestochowa University of Technology, Czestochowa, Poland
Venue:
PPAM'09 Proceedings of the 8th international conference on Parallel processing and applied mathematics: Part II
Year:
2009

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Abstract

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