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In this article, we expand the Muirhead mean (MM) operator and dual Muirhead mean (DMM) operator with positive interval numbers (PINs) to propose the interval numbers MM (INMM) operator, interval numbers weighted MM (INWMM) operator, interval numbers DMM (INDMM) operator and interval numbers weight ed DMM (INWDMM) operator. Then the MADM models are proposed with INWMM and INWDMM operators. Finally, we give a real example for evaluating the financial investment risk.
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