Rank Preserved Aggregation Rules and Application to Reliability Allocation

References

• Baccelli , F. L. , Cohen , G. , Olsder , G. J. , Quadrat , J. P. ( 1993 ). Synchronization and Linearity: An Algebra for Discrete Event Systems . Chichester : Wiley .
   Google Scholar
• Barzilai , J. ( 1998 ). Consistency measures for pairwise comparison matrices . J. Multi-Criteria Decis. Anal. 7 : 123 – 132 .
   Google Scholar
• Barzilai , J. ( 2001 ). Notes on the analytic hierarchy process. Proce. NSF Design Manufact. Res. Confer. Tampa. pp. 1–6 .
   Google Scholar
• Barzilai , J. , Lootsma , F. A. ( 1997 ). Power relations and group aggregation in the multiplicative AHP and SMART . J. Multi-Criteria Decis. Anal. 6 : 155 – 165 .
   Google Scholar
• Basak , I. ( 1989 ). Estimation of the multi-criteria worths of the alternatives in a hierarchical structure of comparisons . Commun. Statist.-Theor. Meth. 18 : 3719 – 3738 .
   Web of Science ®Google Scholar
• Belton , V. , Gear , T. ( 1983 ). On a shortcoming of Saaty's method of analytic hierarchies . Omega 11 : 228 – 230 .
   Web of Science ®Google Scholar
• Cavallo , B. , D'Apuzzo , L. ( 2009 ). A general unified framework for pairwise comparison matrices in multicriterial methods . Int. J. Intell. Syst. 24 : 377 – 398 .
   Web of Science ®Google Scholar
• Chang , T. H. , Wang , T. C. ( 2009 ). Measuring the success possibility of implementing advanced manufacturing technology by utilizing the consistent fuzzy preference relations . Expert Syst. Appl. 36 : 4313 – 4320 .
   Web of Science ®Google Scholar
• Chao , R. J. , Chen , Y. H. ( 2009 ). Evaluation of the criteria and effectiveness of distance e-learning with consistent fuzzy preference relations . Expert Syst. Appl. 36 : 10657 – 10662 .
   Web of Science ®Google Scholar
• Chiclana , F. , Herrera , F. , Herrera-Viedma , E. ( 2001 ). Integrating multiplicative preference relation in a multipurpose decision making model based on fuzzy preference relations . Fuzzy Set. Syst. 122 : 277 – 291 .
   Web of Science ®Google Scholar
• Djira , G. D. ( 2010 ). Relative potency estimation in parallel-line assays—Method comparison and some extensions . Commun. Stat.-Theor. Meth. 39 : 1180 – 1189 .
   Web of Science ®Google Scholar
• Dyer , J. S. ( 1990 ). Remarks on the analytic hierarchy process . Management Sci. 36 : 249 – 258 .
   Web of Science ®Google Scholar
• Elsner , L. , van den Driessche , P. ( 2004 ). Max-algebra and pairwise comparison matrices . Linear Algebra Appl. 385 : 47 – 62 .
   Web of Science ®Google Scholar
• Forman , E. H. , Gass , S. I. ( 2001 ). The analytic hierarchy process—an exposition . Oper. Res. 49 : 469 – 486 .
   Web of Science ®Google Scholar
• Herrera-Viedma , E. , Herrera , F. , Chiclana , F. , Luque , M. ( 2004 ). Some issues on consistency of fuzzy preference relations . Eur. J. Oper. Res. 154 : 98 – 109 .
   Web of Science ®Google Scholar
• Hou , F. ( 2011 ). A Semiring-based study of judgment matrices: properties and models . Inform. Sciences 181 : 2166 – 2176 .
   Web of Science ®Google Scholar
• Lootsma , F. A. ( 1993 ). Scale sensitivity in the Multiplicative AHP and SMART . J. Multi-Criteria Decis. Anal. 2 : 87 – 110 .
   Google Scholar
• Rosen , O. , Weissman , I. ( 1996 ). Comparison of estimation methods in extreme value theory . Commun. Statist.-Theor. Meth. 25 : 759 – 773 .
   Web of Science ®Google Scholar
• Saaty , T. L. ( 1977 ). A scaling method for priorities in hierarchical structures . J. Math. Psychol. 15 : 234 – 281 .
   Web of Science ®Google Scholar
• Saaty , T. L. ( 1980 ). The Analytic Hierarchy Process . New York : McGraw-Hill .
   Google Scholar
• Schoner , B. , Wedley , W. C. ( 1989 ). Ambiguous criteria weights in AHP–consequences and solutions . Decis. Sci. 20 : 462 – 475 .
   Web of Science ®Google Scholar
• Schoner , B. , Wedley , W. C. , Choo , E. U. ( 1993 ). A unified approach to AHP with linking pins . Eur. J. Oper. Res. 64 : 384 – 392 .
   Web of Science ®Google Scholar
• Schoner , B. , Choo , E. U. , wedley, W. C. (1997). A comment on Rank disagreement: a comparison of multicriteria methodologies. J. Multi-Criteria Decis. Anal. 6:197–200.
   Google Scholar
• Tanino , T. ( 1984 ). Fuzzy preference orderings in group decision making . Fuzzy Set. Syst. 12 : 117 – 131 .
   Web of Science ®Google Scholar
• Vaidya , O. S. , Kumar , S. ( 2006 ). Analytic hierarchy process: an overview of applications . Eur. J. Oper. Res. 169 : 1 – 29 .
   Web of Science ®Google Scholar
• Vargas , L. G. ( 1990 ). An overview of the analytic hierarchy process and its applications . Eur. J. Oper. Res. 48 : 2 – 8 .
   Web of Science ®Google Scholar
• Vassilis , G. , Vasdekisa , S. ( 2008 ). A comparison of REML and covariance adjustment method in the estimation of growth curve models . Commun. Statist.-Theor. Meth. 37 : 3287 – 3297 .
   Web of Science ®Google Scholar
• Wang , T. C. , Chen , Y. H. ( 2007 ). Applying consistent fuzzy preference relations to partnership selection . Omega 35 : 384 – 388 .
   Web of Science ®Google Scholar
• Wang , Y. , Yam , R. C. M. , Zuo , M. J. , Tse , P. ( 2001 ). A comprehensive reliability allocation method for design of CNC lathes . Reliab. Eng. Syst. Safety 72 : 247 – 252 .
   Web of Science ®Google Scholar
• Zanakis , S. , Mandakovic , T. , Gupta , S. , Sahay , S. , Hong , S. ( 1995 ). A review of program evaluation and fund allocation within the service and government sectors . Socio-Econ. Plan. Sci. 29 : 59 – 79 .
   Web of Science ®Google Scholar