An improved fuzzy MCDM model based on ideal and anti-ideal concepts

Liang presented a fuzzy multiple criteria decision making (MCDM) method based on the concepts of ideal and anti-ideal points. Despite its merits, Liang method has the following limitations: (i) the objective criteria are converted into dimensionless indices and the subjective criteria are not converted, which may prevent compatibility for these criteria, (ii) the formulas for converting objective criteria are not reliable, and (iii) an unreliable ranking method, i.e. maximizing set and minimizing set, is applied to rank the fuzzy numbers. This paper applies the Hsu and Chen method and suggests a fuzzy number ranking method to propose an improved fuzzy MCDM model based on ideal and anti-ideal concepts to overcome the shortcomings of the Liang method. Numerical examples demonstrate the effectiveness and feasibility of the proposed ranking method and the improved model, respectively.