From the point of view of multiobjective decision making (MODM), the hierarchy structure of AMP is divided into two parts: the hierarcy order combined weighty from total objective level to the last level but one (criterion level), which is regarded as the decision maker's (DM) preference to each criterion, and the hierarchical order odd weight matrix R(x) from the last level (alternative set R) to the criterion level, •whidh is regarded as the decision making matrix Y(x) of multiple attribution decision making(MADM) problem or the optimal membership degree A(x) of fuzzy multiple attribution decision making (FMADM) problem. Thus, ARE
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