?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4069%2F&rft.title=PAHAP%3A+A+Pairwise+Aggregated+Hierarchical+Analysis+of+Ratio-Scale+Preferences&rft.creator=Kang%2C+M.&rft.creator=Stam%2C+A.&rft.description=The+paper+presents+the+Pairwise+Aggregated+Hierarchical+Analysis+of+Ratio-Scale+Preferences+(PAHAP)%2C+a+new+method+for+solving+discrete+alternative+multicriteria+decision+problems.+Following+the+Analytic+Hierarchy+Process+(AHP)%2C+PAHAP+uses+pairwise+preference+judgments+to+assess+the+relative+attractiveness+of+the+alternatives.+By+first+aggregating+the+pairwise+judgment+ratios+of+the+alternatives+across+all+criteria%2C+and+then+synthesizing+based+on+these+aggregate+measures%2C+PAHAP+determines+overall+ratio+scale+priorities+and+rankings+of+the+alternatives+that+are+not+subject+to+rank+reversal%2C+provided+that+certain+weak+consistency+requirements+are+satisfied.+Hence%2C+PAHAP+can+serve+as+a+useful+alternative+to+the+original+AHP+if+rank+reversal+is+undesirable%2C+for+instance+when+the+system+is+open+and+criterion+scarcity+does+not+affect+the+relative+attractiveness+of+the+alternatives.+Moreover%2C+the+single+matrix+of+pairwise+aggregated+ratings+constructed+in+PAHAP+provides+useful+insights+into+the+decision+maker's+preference+structure.+PAHAP+requires+the+same+preference+information+as+the+original+AHP+(or%2C+alternatively%2C+the+same+information+as+the+Referenced+AHP%2C+if+the+criteria+are+compared+based+on+average+(total)+value+of+the+alternatives).+As+it+is+easier+to+implement+and+interpret+than+previously+proposed+variants+of+the+conventional+AHP%2C+which+prevent+rank+reversal%2C+PAHAP+also+appears+attractive+from+a+practitioner's+viewpoint.&rft.publisher=RR-95-006.+Reprinted+from+Decision+Sciences%2C+25(4)+%5BJuly-August+1994%5D.&rft.date=1994&rft.type=Monograph&rft.type=PeerReviewed&rft.format=text&rft.language=en&rft.rights=cc_by&rft.identifier=https%3A%2F%2Fpure.iiasa.ac.at%2Fid%2Feprint%2F4069%2F1%2FRR-95-06.pdf&rft.identifier=++Kang%2C+M.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1359.html%3E+%26+Stam%2C+A.+%3Chttps%3A%2F%2Fpure.iiasa.ac.at%2Fview%2Fiiasa%2F1588.html%3E++(1994).++PAHAP%3A+A+Pairwise+Aggregated+Hierarchical+Analysis+of+Ratio-Scale+Preferences.+++IIASA+Research+Report+(Reprint).+IIASA%2C+Laxenburg%2C+Austria%3A+RR-95-006.+Reprinted+from+Decision+Sciences%2C+25(4)+%5BJuly-August+1994%5D.+++++