Document Zbl 07971394

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Res.</a> <a href="/?q=in%3A521605" title="Articles in this Issue">58, No. 6, 5381-5402 (2024)</a>. </div> <div class="abstract">Summary: To address the multi-criteria group decision-making (MCGDM) problems with hesitant fuzzy linguistic preference relations (HFLPRs), this study introduces a group decision-making (GDM) method in view of worst additive consistency index (WACI) and average additive consistency index (AACI) simultaneously. First, several optimization models are constructed for deriving the WACI and AACI. The main characteristic of the constructed models is that it takes into accounted the personalized individual semantics (PISs). Based on this, the concept of acceptable additive consistent HFLPRs is developed. Second, to improve the consistency of HFLPRs, several optimization models are constructed. Two predefined thresholds for the WACI and AACI are considered in the proposed models. It requires the consistency levels of all the linguistic preference relations (LPRs) associated with an HFLPR meets the threshold of WACI, and the average consistency level of all LPRs reaches the threshold of AACI. Third, an algorithm is designed for deriving priority weights from acceptable consistent HFLPRs. Finally, the presented models are validated for 3D visualization management system selection problem and extensive comparative analyses.</div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A65-XX" title="MSC2020">65-XX</a> </td> <td class="space"> Numerical analysis </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Amulti-criteria+group+decision-making">multi-criteria group decision-making</a>; <a href="/?q=ut%3Ahesitant+fuzzy+linguistic+preference+relations">hesitant fuzzy linguistic preference relations</a>; <a href="/?q=ut%3Aworst+additive+consistency+index">worst additive consistency index</a>; <a href="/?q=ut%3Aaverage+additive+consistency+index">average additive consistency index</a>; <a href="/?q=ut%3Apersonalized+individual+semantics">personalized individual semantics</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07971394" data-ciurl="/ci/07971394" data-biburl="/bibtex/07971394.bib" data-amsurl="/amsrefs/07971394.bib" data-xmlurl="/xml/07971394.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07971394.pdf" title="Zbl 07971394 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1051/ro/2024199" aria-label="DOI for “Group decision-making with hesitant fuzzy linguistic preference relations in view of worst and average indexes”" title="10.1051/ro/2024199">DOI</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">L.D.D.R. 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