analytic hierarchy process (ahp) has been criticized considerably for possible rank reversal phenomenon caused by the addition or deletion of an alternative. while in many cases this is a perfectly valid phenomenon, there are also many cases where ranks should be preserved. our findings indicate that using the geometric mean reduces the variance in ratings substantially; hence, yielding lower i...

Heronianmean (HM) has the characteristic of capturing the correlations of the aggregated arguments and the neutrosophic set can express the incomplete, indeterminate and inconsistent information, in this paper, we applied the Heronian mean to the neutrosophic set, and proposed some Heronian mean operators. Firstly, we presented some operational laws and their properties of single valued neutros...

In this paper, we present multi-attribute decision-making problem with neutrosophic assessment. We assume that the information about attribute weights is incompletely known or completely unknown. The ratings of alternatives with respect to each attributes are considered as single-valued neutrosophic set to catch up imprecise or vague information. Neutrosophic set is characterized by three indep...

With respect to different confidence on evaluation result from different decision-makers to the hybrid multi-attribute with risk, an approach to group decisionmaking based on prospect theory and projection theory is proposed. Firstly, a tuple is established to record the evaluation result and the hybrid decision information. Then the element of the tuple is changed into a single triangular fuzz...