Document Zbl 1407.90209

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(2018)</a>. </div> <div class="abstract">Summary: Interval-valued Pythagorean fuzzy numbers (IVPFNs) can easily describe the incomplete and indeterminate information by degrees of membership and non-membership, and the Hamy mean (HM) operator and dual HM (DHM) operators are a good tool for dealing with multiple attribute decision making (MADM) problems because it can capture the interrelationship among the multi-input arguments. Motivated by the studies regarding the HM operator and dual HM operator, we expand the HM operator and dual HM (DMM) operator to process the interval-valued Pythagorean fuzzy numbers (IVPFNs) and then to solve the MADM problems. Firstly, we propose some HM and DHM operators with IVPFNs. Moreover, we present some new methods to solve MADM problems with the IVPFNs. Finally, an applicable example is given.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6994831">Cited in <strong>7</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A90B50" title="MSC2020">90B50</a> </td> <td class="space"> Management decision making, including multiple objectives </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A90C70" title="MSC2020">90C70</a> </td> <td class="space"> Fuzzy and other nonstochastic uncertainty mathematical programming </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Amultiple+attribute+decision+making+%28MADM%29">multiple attribute decision making (MADM)</a>; <a href="/?q=ut%3Ahamy+mean+%28HM%29+operator">hamy mean (HM) operator</a>; <a href="/?q=ut%3Adual+hamy+mean+%28DHM%29+operator">dual hamy mean (DHM) operator</a>; <a href="/?q=ut%3Ainterval-valued+Pythagorean+fuzzy+numbers+%28IVPFNs%29">interval-valued Pythagorean fuzzy numbers (IVPFNs)</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 1407.90209" data-ciurl="/ci/06994831" data-biburl="/bibtex/06994831.bib" data-amsurl="/amsrefs/06994831.bib" data-xmlurl="/xml/06994831.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06994831.pdf" title="Zbl 1407.90209 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/10.3390/math6110228" aria-label="DOI for “Methods for multiple attribute decision making with interval-valued Pythagorean fuzzy information”" title="10.3390/math6110228">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">Atanassov, K.T.; Intuitionistic fuzzy sets; Fuzzy Sets Syst.: 1986; Volume 20 ,87-96. · <a href="/0631.03040" class="nowrap">Zbl 0631.03040</a></td> </tr><tr> <td>[2]</td> <td class="space">Zadeh, L.A.; Fuzzy sets; Inf. 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