Generalized Dice measures for multiple attribute decision making under intuitionistic and interval-valued intuitionistic fuzzy environments

This paper proposes Dice measures of intuitionistic fuzzy sets (IFSs) and interval-valued intuitionistic fuzzy sets (IVIFSs) and generalized Dice measures of IFSs and IVIFSs, and then indicates the relations of the generalized Dice measures, Dice measures, and projection measures (asymmetric measures) of IFSs and IVIFSs. Furthermore, we develop the generalized Dice measures-based multiple attribute decision-making methods with intuitionistic and interval-valued intuitionistic fuzzy information. Through the weighted generalized Dice measures between each alternative and the ideal solution (ideal alternative) according to some parameter value selected by decision makers’ preference, all the alternatives can be ranked and the best one can be chosen as well. Finally, an actual example about the selection of manufacturing schemes is provided to demonstrate the applications of the proposed decision-making methods under intuitionistic and interval-valued intuitionistic fuzzy environments, and then, a comparison analysis is conducted between the developed approach and other existing methods to verify the effectiveness and flexibility of the proposed method.