Equilibrium Linguistic Computation Method for Fuzzy Group Decision-Making

This paper proposes an equilibrium computation method using linguistic variables based on the conflicting bifuzzy sets. The linguistic terms were defined and associated with the triangular fuzzy number as well as labeling system in the early stages. Then, the negation operator was introduced and the bifuzzy approaches were employed to derive the aggregation equilibrium linguistic judgement for evaluation purposes. Some modification of the linguistic geometric averaging operator was also introduced in order to suit our proposed method. Finally, a hypothetical example is given to illustrate the application of our proposed computation method. The results showed that the method is highly beneficial in terms of applicability and offers a new dimension to problem solving technique for the fuzzy group decision-making environment.