Fuzzy multiple criteria decision making based on ideal and anti-ideal concepts

This paper presents a novel fuzzy multiple criteria decision making (MCDM) based on the concepts of ideal and anti-ideal points. The concepts of fuzzy set theory and hierarchical structure analysis are used to develop a weighted suitability decision matrix to evaluate the weighted suitability of different alternatives versus various criteria. The distance of different alternatives versus positive ideal solution and negative ideal solution are then obtained by using the proposed ranking method. Finally, the relative approximation values of various alternatives versus positive ideal solution are ranked to determine the best alternative.