| Abstract: | The reliability allocation for computerized numerical control lathes can be seen as a MCDM problem. In a previous article (Hou, 2011
Hou , F. ( 2011 ). A Semiring-based study of judgment matrices: properties and models . Inform. Sciences 181 : 2166 – 2176 .Crossref], Web of Science ®] , Google Scholar]), the fixed point equations corresponding to the priority vectors of consistent judgment matrices were given under semiring operations. The existence and uniqueness of the min-normalized fixed point were also proved. This article shows the application of the decision fixed point. First, fixed point-based aggregation rule with rank preservation is proposed for AHP. Then, counterpart results under a semiring isomorphism are presented for the FPR-AHP, where the preference information is presented by additive reciprocal judgment matrices (fuzzy preference relations). Third, the proposed aggregation rules are extended to the data incorporation of MCDM problems. Finally, application to the reliability allocation for computerized numerical control lathes is investigated. |
