MCDM based on new membership and non-membership accuracy functions on trapezoidal-valued intuitionistic fuzzy numbers

Ranking of trapezoidal-valued intuitionistic fuzzy numbers (TVIFNs) plays an important role in multi-criteria decision making (MCDM) based on the TVIFNs. The main objective of this paper is to introduce new membership and non-membership accuracy functions on the classes of interval-valued intuitionistic fuzzy numbers (IVIFNs) and TVIFNs by which the orderings on IVIFNs and TVIFNs are done. This paper reveals the better part of the proposed accuracy functions than the existing or previous functions. Further, some operations on IVIFNs and TVIFNs are defined. Finally, a new method is proposed to solve the MCDM problem based on the multi-criteria trapezoidal-valued intuitionistic fuzzy index matrix and illustrated through numerical examples.