A grey relational projection method for multi attribute decision making based on three trapezoidal fuzzy numbers

Multi-criteria decision making (MCDM) problems have been solved involving various types of fuzzy sets. We know that interval type-2 fuzzy sets (IT2FSs) are the most representative known fuzzy sets since they have the ability to capture both type of linguistic uncertainties associated with a word namely, the intra-personal and inter-personal uncertainties respectively. Here for MCDM problems, we will use the three trapezoidal fuzzy numbers (TT2FNs) which are more effective in capturing the uncertainty than IT2FSs, just like triangular fuzzy numbers has a better representational power than simple interval numbers. Moreover, Entropy method is employed for evaluating the values of unknown attribute weights. The ranking method employed here is the grey correlation projection method (GRPM), obtained by joining grey relational method (GRM) and projection method (PM) respectively. Lastly an example will be given to check the productivity of the suggested method.