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Purpose-Owing to the importance of the portfolio problem in mode financial investment fields,the aim of this paper is to rank and choose suitable stocks in stock markets under vague environment.Design/methodology/approach-Many new principles and methods have been introduced to help the investor to deride which stocks are worth to be chosen.In real word,people prefer to express their attributes by using linguistic terms,so the used data are often imprecise and vague.In this paper,the second method of constrained fuzzy analysis hierarchy process (CFAHP) is used to evaluate the r elative weights of the criteria and rank alteatives by fuzzy technique for order preference by similarity to an ideal solution (FTOPSIS).Findings-In this paper,empirical result shows that the proposed method is capable of helping investor to allocate asset in portfolio problems under vague environment.Research limitations/implications-The proposed method gives a new mathematical framework for portfolio selection.Investors can decide the asset allocation by using the combination of CFAHP and FTOPSIS.Practical implications-Besides the benefit of sorting feature,the proposed method can be used to obtain the asset allocation.Social implications-The aim of the portfolio selection theory is to rank and decide the asset allocations.But it is still a difficult task in deciding which assets should be selected under uncertain environment.The proposed method in this paper has been proved to be an effident method to deal with vague information in decision-making programs.Originality/value-This study analyzes the effectiveness of the combined method of CFAHP and TOPSIS in portfolio problem.