document: An improved fuzzy MCDM model based on ideal and anti-ideal concepts Liang presented -LRB- 1999 -RRB- a fuzzy multiple criteria decision making -LRB- MCDM -RRB- method based on the concepts of ideal and anti-ideal points . Despite its merits , Liang method has the following limitations : -LRB- i -RRB- the objective criteria are converted into dimensionless indices and the subjective criteria are not converted , which may prevent compatibility for these criteria , -LRB- ii -RRB- the formulas for converting objective criteria are not reliable , and -LRB- iii -RRB- 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
doc_bio_tags: O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: fuzzy mcdm model dimensionless indices fuzzy number ranking
abstractive_keyphrases: ideal concepts anti-ideal concepts multicriterion decision-making