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

Abstract

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

Keywords

• fuzzy algebra
• intuitionistic fuzzy numbers
• multiple-attribute decision making
• probabilistic dominance relationship
• hesitant intuitionistic fuzzy numbers