%0 Journal Article
%A SHAO Liangshan1
%A ZHAO Linlin1
%A WEN Tingxin2
%A KONG Xiangbo2
%T Bidirectional projection method with interval-valued intuitionistic fuzzy number
%D 2017
%R 10.3778/j.issn.1002-8331.1503-0171
%J Computer Engineering and Applications
%P 83-86
%V 53
%N 1
%X A multi-criteria fuzzy decision-making method based on interval-valued intuitionistic fuzzy number is proposed for some situations where the information about criteria weights for alternatives is incompletely known, and the attribute values take the form of intuitionistic fuzzy numbers. The vectors of alternative, ideal and critical alternative are defined. A projection measure method is proposed, in which the attribute values are in the form of interval-valued intuitionistic fuzzy set. A non-linear programming model, based on the Jaynes’ maximum entropy principle and alternatives’ fair competition, is established to obtain the attribute weights. A new relative closeness degree formula based on ideal and critical alternative is presented in order to rank the alternatives. Finally, a numerical example is given to verify the effectiveness and feasibility of the proposed method.
%U http://cea.ceaj.org/EN/10.3778/j.issn.1002-8331.1503-0171