Assessing an organization's competitiveness is a mu1tiple decision-making (MCDM) problem that usually requires handling a set of criteria together with developing a weighting system. Travel & Tourism Competitiveness Index (TTCI) can be applied as an evaluation tool for measuring the global competitiveness of the Travel & Tourism (T&T) sector in different countries. However, the TTCI is lacking a favorable weighting system because it allows all sub-indexes to be equally important. This is usually not true in the real world. Here arises an imperative issue of how to design a weighting system for the TTCI. Hence, this paper employs Borda count and grey system theory to deal with the task of building a weighting system which is a complex MCDM problem.