Extensions of the TOPSIS for group decision-making under fuzzy environment

摘要: The aim of this paper is to extend the TOPSIS fuzzy environment. Owing vague concepts frequently represented in decision data, crisp value are inadequate model real-life situations. In paper, rating each alternative and weight criterion described by linguistic terms which can be expressed triangular numbers. Then, a vertex method proposed calculate distance between two According concept TOPSIS, closeness coefficient defined determine ranking order all alternatives calculating distances both positive-ideal solution (FPIS) negative-ideal (FNIS) simultaneously. Finally, an example shown highlight procedure at end paper.