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Choquet integrals of weighted intuitionistic fuzzy information. (English) Zbl 1186.68469
Summary: The Choquet integral is a very useful way of measuring the expected utility of an uncertain event [G. Choquet, Ann. Inst. Fourier 5, 131–295 (1953/54; Zbl 0064.35101)]. In this paper, we use the Choquet integral to propose some intuitionistic fuzzy aggregation operators. The operators not only consider the importance of the elements or their ordered positions, but also can reflect the correlations among the elements or their ordered positions. It is worth pointing out that most of the existing intuitionistic fuzzy aggregation operators are special cases of our operators. Moreover, we propose the interval-valued intuitionistic fuzzy correlated averaging operator and the interval-valued intuitionistic fuzzy correlated geometric operator to aggregate interval-valued intuitionistic fuzzy information, and apply them to a practical decision-making problem involving the prioritization of information technology improvement projects.

##### MSC:
 68T37 Reasoning under uncertainty in the context of artificial intelligence 28E10 Fuzzy measure theory 94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
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