A method for comparing intervals with interval bounds

Authors:
Pavel Sevastjanov;Pavel Bartosiewicz;Kamil Tkacz
Affiliations:
Institute of Computer & Information Sciences, Czestochowa University of Technology, Czestochowa, Poland;Institute of Computer & Information Sciences, Czestochowa University of Technology, Czestochowa, Poland;Institute of Computer & Information Sciences, Czestochowa University of Technology, Czestochowa, Poland
Venue:
PPAM'11 Proceedings of the 9th international conference on Parallel Processing and Applied Mathematics - Volume Part II
Year:
2011

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Abstract

There are different methods for interval comparison used in modeling, optimization and decision making in interval setting. These methods make it possible to compare intervals with real valued bounds. Nevertheless, in practice, for example in the rule-base evidential reasoning in interval setting, the problem of comparing intervals with interval bounds arises. In this report, a method for comparison of intervals with interval bounds is proposed and illustrated using numerical examples. This method is based on the mathematical tools of the Dempster-Shafer theory of evidence.