Multiple-Attribute Decision Making Based on the Probabilistic Dominance Relationship with Fuzzy Algebras

In multiple-attribute decision-making (MADM) problems, ranking the alternatives is an important step for making best decision. Intuitionistic fuzzy numbers (IFNs) are a powerful tool expressing uncertainty and vagueness in MADM problems. However, existing methods IFNs do not consider probabilistic dominance relationship between alternatives, which can lead to inconsistent inaccurate rankings. this paper, we propose new method based on algebras. The proposed able handle incomplete uncertain information generate consistent accurate