On the combination and normalization of interval-valued belief structures
Information Sciences: an International Journal
A new method for solving interval and fuzzy equations: Linear case
Information Sciences: an International Journal
Reasoning with imprecise belief structures
International Journal of Approximate Reasoning
Fuzzy solution of interval linear equations
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
Expert Systems with Applications: An International Journal
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A new method for normalization and combination of intervalvalued belief structures within the framework of Dempster-Shafer theory of evidence based on the so-called "interval extended zero" method is proposed. The two desirable intuitively obvious properties of normalization procedure are defined. The main of them is based on the assumption that the sum of normalized intervals should be an interval centered around 1 with a minimal width. The advantages of a new method are illustrated with use of numerical examples. It is shown that a new method performs better than known methods for combination of interval-valued belief structures as it provides the results with the properties which are close to the desirable ones.