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Erschienen in:
2012 | OriginalPaper | Buchkapitel
The Use of Belief Intervals in Operations on Intuitionistic Fuzzy Values
verfasst von : Ludmila Dymova, Pavel Sevastjanov, Kamil Tkacz
Erschienen in: Artificial Intelligence and Soft Computing
Verlag: Springer Berlin Heidelberg
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This paper presents a critical analysis of conventional operations on intuitionistic fuzzy values (
IFVs
) and their applicability to the solution of multiple criteria decision making (
MCDM
) problems in the intuitionistic fuzzy setting. A set of operations on
IFVs
based on the interpretation of intuitionistic fuzzy sets in the framework of the Dempster-Shafer theory of evidence (
DST
) is proposed and analyzed. This interpretation makes it possible to represent mathematical operations on
IFVs
as operations on belief intervals. The corresponding method for aggregation of local criteria presented by
IFVs
in the framework of
DST
is proposed and analyzed. The proposed approach allows us to solve
MCDM
problems without intermediate defuzzification when not only criteria, but their weights are
IFVs
. The advantages of the proposed approach are illustrated by numerical examples.