Detecting and adjusting inconsistencies through a graphical and optimal approach in AHP

It is difficult to rank the alternatives in an ordinal or/and cardinal inconsistent AHP model. There is an iterative method to detect and adjust inconsistencies. In this study it is improved, lots of conditions omitted and it is confirmed by the numerical results by MATLAB. Gower Plot upon the singular value decomposition of paired comparisons matrix is used to detect inconsistencies. The improved optimization model provides suggested adjustments satisfying the bounds determinate by decision maker. After observing suggested numerical changes and Gower Plot the decision maker may revise iteratively the preferences to improve inconsistencies.