Now as the linguistic assessments simply approximate the subjective judgment of decision-makers, we consider the linear triangular membership functions to capture the vagueness of linguistic assessment. The linguistic variables are expressed as positive triangular fuzzy numbers and are shown in figures 5 and 6. the decision makers are asked to use the linguistic variables as shows in figures 5 and 6 to evaluate the importance of the criteria and the ratings of alternatives with respect to qualitative criteria.
now the figure 5 and 6 is used for rating the criteria by the decision-makers and the rating of suppliers on various criteria. the ratings are represented using fuzzy values in Tables 3 and 4