A novel three-way decision based on linguistic evaluation

Three-way decision method is a kind of new developed uncertain decision theory, in which a set of objects can be divided into three regions, called the acceptance, rejection and uncertainty regions, respectively. However, seldom researches that involve the fusion of linguistic information and three-way decisions are found. In this paper, we propose a novel decision method, called linguistic three-way decisions, in which the alternatives are rated in linguistic forms and divided into acceptance, rejection and uncertainty regions. The alternatives in the uncertainty region are especially discussed. The linguistic terms are transformed into fuzzy numbers and then aggregated. Finally, a linguistic recommendation example is provided to illustrate the practicality and validity of the proposed methods.