Fuzzy numbers and intuitionistic fuzzy numbers are introduced in the literature to model problems involving incomplete and imprecise numerical quantities. Researchers from all over the world have been working in ranking of intuitionistic fuzzy numbers since 1985, but till date there is no common methodology that rank any two arbitrary intuitionistic fuzzy numbers. In order to improve the familiar ranking methods, a new non-hesitance score function for the theory of interval-valued intuitionistic fuzzy sets is introduced and the necessity for defining a new non-hesitance score function is explained using illustrative examples. In this paper, a new multi-criteria decision-making algorithm is established for decision problems involving interval-valued intuitionistic fuzzy numbers. Further the practicality of the proposed method is shown by solving an interval-valued intuitionistic fuzzy MCDM problem. Finally, an illustrative example is given to demonstrate the practicality and effectiveness of the proposed approach.
Intuitionistic fuzzy number Interval-valued intuitionistic fuzzy number Non-hesitance score MCDM IFMCDM
Yang Y, Liang C, Ji S (2015) Comments on fuzzy multicriteria decision making method based on the improved accuracy function for interval-valued intuitionistic fuzzy sets by Ridvan Sahin. Soft Comput. doi:10.1007/s00500-015-1988-7Google Scholar
Ye J (2009) Multicriteria fuzzy decision making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment. Exp Syst Appl 36(6):6899–6902CrossRefGoogle Scholar
Zhang F, Xu S (2015) Remarks to fuzzy multicriteria decision making method based on the improved accuracy function for interval-valued intuitionistic fuzzy sets. Soft Comput. doi:10.1007/s00500-015-1932-xGoogle Scholar