Choquet integrals of weighted intuitionistic fuzzy information

Authors:
Zeshui Xu
Affiliations:
Antai School of Economic and Management, Shanghai Jiaotong University, Shanghai 200052, China and Institute of Sciences, PLA University of Science and Technology, Nanjing 210007, China
Venue:
Information Sciences: an International Journal
Year:
2010

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Abstract

The Choquet integral is a very useful way of measuring the expected utility of an uncertain event [G. Choquet, Theory of capacities, Annales de l'institut Fourier 5 (1953) 131-295]. 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.