The purpose of this paper is to compare a Utility/Value Function(UVF) model with a Fuzzy Choquet`s Integral(FCI) model, which are designed to find out optimal preferred solutions for Multi-Attribute Decision-Making(MADM) problems with many attributes and alternatives. The basic idea of these models is essentially subgrouping of attributes and successively eliminating inefficient solutions. But the difference between these two models lies in the fact that the UVF model is based upon pairwise comparisons of alternatives and the FCI model is based upon decision-maker`s judgements about the relative importance of subgroups of attributes. However, in the UVF model, the transitivity should be maintained in the preference comparison of alternatives that are given. In the FCI model, the degree of preferential dependence on the attributes should, also, be obtained accurately.