Distance Measures between Interval Valued Intuitionistic Fuzzy Sets and Application in Multi-Criteria Decision Making.

The main purpose of this work is the study of distance measures between interval valued intuitionistic fuzzy sets (IVIFSs). Thus, some distances from literature are presented and two new measures are proposed. The latter prove their efficiency in pattern recognition and show their superiority in some cases of counter intuitive compared with those from literature, which motivate its application to multi-criteria decision making (MCDM) problems to compute distance degrees between alternatives and ideal solutions and to find the appropriate solution.Comparisons between distance results are performed following their application to MCDM methods under IVIFSs environment.