Handling fuzzy decision making problem based on linguistic information and intersection concept

Multi-criteria decision-making (MCDM) is one of the most widely used decision methodologies. Because every kind of MCDM approach has its strong point and weakness, it is hard to make sure that what kind of MCDM approach is suitable to a specific problem. Therefore, a new decision making method is proposed in this paper based on linguistic information and intersection concept which is called linguistic intersection method (LIM). The linguistic variables are used to express the opinion of each decision-maker. There are four MCDM methods such as TOPSIS, ELECTRE, PROMETHEE, and VIKOR are included in the linguistic intersection method. First, each MCDM approach is used to determine the ranking order of all alternatives in accordance with the linguistic evaluations by decision-makers. And then, the intersection set is determined for the better alternatives of all methods. Third, the final ranking order of alternatives in the intersection set can be determined by the proposed method. This study presented an example to implement and compare the proposed method with individual linguistic MCDM method. Finally, some conclusions and future research will be discussed at the end of this paper.