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   <ow:Publication rdf:about="oai:digibug.ugr.es:10481/72453">
      <dc:title>Multiplicative Consistency Ascertaining, Inconsistency Repairing, and Weights Derivation of Hesitant Multiplicative Preference Relations</dc:title>
      <dc:creator>Xu, Yejun</dc:creator>
      <dc:creator>Chiclana Parrilla, Francisco</dc:creator>
      <dc:creator>Herrera Viedma, Enrique</dc:creator>
      <dc:subject>Consistency ascertaining</dc:subject>
      <dc:subject>Hesitant multiplicative preference relations (HMPRs)</dc:subject>
      <dc:subject>Inconsistency repairing</dc:subject>
      <dc:subject>Missing values</dc:subject>
      <dc:subject>Weights derivation</dc:subject>
      <dc:description>This work was supported in part by the National Natural Science Foundation of China (NSFC) under Grant 71871085, and in part by FEDER Funds provided in the National Spanish Project under Grant PID2019-103880RB-I00.</dc:description>
      <dc:description>This article investigates multiplicative consistency&#xd;
ascertaining, inconsistency repairing, and weights derivation for&#xd;
hesitant multiplicative preference relations (HMPRs). First, the&#xd;
completely multiplicative consistency and weakly multiplicative&#xd;
consistency of HMPRs are defined. Based on them, 0-1 mixed programming&#xd;
models and simple algebraic operations are proposed&#xd;
to ascertain the multiplicative consistency of HMPRs. Then, some&#xd;
goal programming models are developed to generate the weights&#xd;
from consistent HMPRs and to revise inconsistent HMPRs. An&#xd;
integrated procedure to manage the multiplicative consistencies of&#xd;
HMPRs is designed. The proposed methods are also extended to&#xd;
accommodate incomplete HMPRs, and to estimate missing values.&#xd;
Finally, some numerical examples, a comparative analysis&#xd;
with existent approaches, and a simulation analysis are included&#xd;
to illustrate the practicality and effectiveness of the developed&#xd;
models.</dc:description>
      <dc:date>2022-01-24T11:11:55Z</dc:date>
      <dc:date>2022-01-24T11:11:55Z</dc:date>
      <dc:date>2021-07-19</dc:date>
      <dc:type>info:eu-repo/semantics/article</dc:type>
      <dc:identifier>Published version: Y. Xu... [et al.]. "Multiplicative Consistency Ascertaining, Inconsistency Repairing, and Weights Derivation of Hesitant Multiplicative Preference Relations," in IEEE Transactions on Systems, Man, and Cybernetics: Systems, doi: [10.1109/TSMC.2021.3099862]</dc:identifier>
      <dc:identifier>http://hdl.handle.net/10481/72453</dc:identifier>
      <dc:identifier>10.1109/TSMC.2021.3099862</dc:identifier>
      <dc:language>eng</dc:language>
      <dc:rights>http://creativecommons.org/licenses/by-nc-nd/3.0/es/</dc:rights>
      <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
      <dc:rights>Atribución-NoComercial-SinDerivadas 3.0 España</dc:rights>
      <dc:publisher>IEEE</dc:publisher>
   </ow:Publication>
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