In multiple attribute decision-making problems, many interval number ranking methods do not focus on interval numbers that include non-positive ones and cannot represent decision-makers’ different attitudes. In this study, the… Click to show full abstract
In multiple attribute decision-making problems, many interval number ranking methods do not focus on interval numbers that include non-positive ones and cannot represent decision-makers’ different attitudes. In this study, the information of interval numbers including non-positive ones was mined after expressing them in the rectangular coordinate system. On this basis, the symmetry axis compensation factor, which was also the risk appetite index, and the equivalent function of the goal interval number (EFGIN) were deduced. Thus, the ranking method of interval numbers was defined, along with its application procedures. Furthermore, the feasibility and effectiveness of this method were verified through examples. This method could rank interval numbers including non-positive ones intuitively and simply, which can also represent decision-makers’ multiple attitudes with different risk appetites.
               
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