Comparison and links between two 2-tuple linguistic models for decision making

This paper deals with linguistic models that may prove useful for representing the information during decision making.Data extraction is a complex problem, especially when dealing with information coming from human beings (linguistic assertions, preferences, feelings, etc.) and several models have emerged to overcome difficulties in expressing the data. Among those models, we are interested in two of them: the 2-tuple semantic model and the 2-tuple symbolic model.In this paper we stress on a comparison between both models and we prove that links can be made between them. An interesting result is obtained: the 2-tuple semantic model can generate a partitioning that is identical to the one that would be generated thanks to the symbolic 2-tuple model. This permits to compare the models and mix the two when there is a need to use one model or another, depending on the applications, and then to reach a consensus. In closing, an example of the use is given to demonstrate the value of the method.