Multi-attribute decision making using grey relational projection method based on interval type-2 trapezoidal fuzzy numbers

Here we present a method to deal with multi-attribute decision making(MADM) problems when the attribute values are modeled in the form of interval type-2 trapezoidal fuzzy numbers (IT2FNs), and the attribute weights are completely unknown. Grey Relation Projection Method (GRPM), which is a combination of "grey relational analysis method" and the "projection method" is employed for ranking the alternatives. The linguistic information is modeled in the form of "interval type-2 trapezoidal fuzzy numbers" (IT2TFN) which are able to capture both the intra personal and inter personal uncertainties associated with a linguistic term. Information Entropy Method (IEM) is used for calculating unknown attribute weights. Lastly, an illustrative example is provided as a verification of the developed approach.