Group Decision Making Using Fuzzy Linguistic Preference Relations under Uncertain Environment

When facing problems, evaluators use fuzzy preference relations to express their opinions toward attributes or alternatives. Studies on fuzzy preference relations have been gained much attention recently, but the values of constructing fuzzy preference relations are crisp. This paper thus proposes the evaluators the consistent fuzzy linguistic preference relations (Fuzzy LinPreRa) parameterized with fuzzy linguistic variables rather than crisp values to compare the alternatives/attributes. Furthermore, an approach for group decision making based on the Fuzzy LinPreRa method is presented. The proposed method enables evaluators to deal with some uncertainty or vagueness and ensures a more convincing and effective decision making. A practical example is demonstrated to illustrate this method.