In multi-criteria decision making, it is common to make use of weighted sum approaches that include steps such asidentifying the criteria options; identifying the weights of each criterion; rating the options against the criteria;multiplying by the weighting; and summing over the weighted criteria. In the options criteria rating process, it isassumed that the criteria are independent and mutually exclusive. This method is commonly used and widelyaccepted, but its limitation is that in some cases, the independence assumption does not hold among criteria or it isdifficult to identify a set of mutually independent criteria. The ignorance of higher-order interaction among criteriamay lead to unreasonable option choices, especially when the power of higher-order interaction is very strong. Thusthe cross effect of criteria will play an important role in this type of decision making analysis. In this paper, theConsistent Weight Identification Method, (CWIM), a DOE-related weighting identification approach, is put forwardand higher-order interactive influences are studied in multi-attribute decision making. In addition, its application isdemonstrated in the context of multi-objective optimization problems.
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