Multi-criteria decision-making and extracting fuzzy linguistic summaries based on intuitionistic fuzzy sets

In this paper, we used Chen and Tan´s method for handling multi-criteria fuzzy decision-making problems, where the characteristic of the alternatives are represented by intuitionistic fuzzy sets. The method allows the degrees of membership and non-membership of each alternative with respect to a set of criteria to be represented by intuitionistic fuzzy sets, respectively. Based on the structure of a fuzzy statement, a new method to extract Q, S and T of a linguistic data summary is discussed. The proposed method uses a new function weighting ldquoreal degreerdquo, which not only due to the fact that it use intuitionistic fuzzy set theory rather fuzzy set theory, but also due to the fact that the function can deal with the uncertainty well. Some patterns, which can conduct the decision-making, can be obtained from the linguistic summaries. Two example are given to illustrate the process.