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Abstract Studying vector optimization problems has been considered as one of the most interesting, intriguing and complex topics in the field of optimization; its assets and importance are derived from its close relation with the real-world problems that involve more than one objective to be optimized simultaneously. They possess numerous applications in industry, planning and economy. Many studies and theses have discussed this type of problems. If it comes to real problems, we have to cope with the issue of “uncertainty” which experts may face due to lack of some information during formulating the mathematical modeling of these problems. Employing the fuzzy set theory and rough set theory is one of the commonly seized techniques to express this imprecision. The main purpose of this study is to introduce effective methods to treat the vector optimization problems under diverse fuzzy and rough circumstances. |