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P.</a></div> <h2 class="title"> <strong>Generalized fuzzy \(H_v\)-submodules endowed with interval valued membership functions.</strong> <i>(English)</i> <a class="label nowrap" href="/1149.16035">Zbl 1149.16035</a> </h2> <div class="source"> <a href="/serials/454" title="Journal Profile">Inf. Sci.</a> <a href="/?q=in%3A222615" title="Articles in this Issue">178, No. 15, 3147-3159 (2008)</a>. </div> <div class="abstract">Some special types of interval valued \((\in,\in\!\!\vee q)\)-fuzzy subsets on hyperalgebras, called &lsquo;\(H_v\)-modules&rsquo;, are studied. Some related results recently obtained by Davvaz, Dudek, Corsini and Jun are extended.<br class="zbmathjax-paragraph"> Reviewer&rsquo;s note: In this paper it is assumed that all intervals considered are comparable with the interval \([0.5,0.5]\), which rather is not a natural assumption.<div class="reviewer"> Reviewer:&nbsp;<a href="/authors/?q=rv%3A5909">Wiesław A. Dudek (Wrocław)</a></div> <div class="clearfix"></div></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A5303712">Cited in <strong>1</strong> Review</a></div><div class="clear"><a href="/?q=rf%3A5303712">Cited in <strong>16</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A16Y99" title="MSC2020">16Y99</a> </td> <td class="space"> Generalizations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A20N20" title="MSC2020">20N20</a> </td> <td class="space"> Hypergroups </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A03B52" title="MSC2020">03B52</a> </td> <td class="space"> Fuzzy logic; logic of vagueness </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A20N25" title="MSC2020">20N25</a> </td> <td class="space"> Fuzzy groups </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Ahyperstructures">hyperstructures</a>; <a href="/?q=ut%3Ainterval+valued+fuzzy+sets">interval valued fuzzy sets</a>; <a href="/?q=ut%3Afuzzy+%5C%28H_v%5C%29-submodules">fuzzy \(H_v\)-submodules</a></div> <!-- Modal used to show zbmath metadata in different output formats--> <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">&times;</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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1149.16035" data-ciurl="/ci/05303712" data-biburl="/bibtex/05303712.bib" data-amsurl="/amsrefs/05303712.bib" data-xmlurl="/xml/05303712.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05303712.pdf" title="Zbl 1149.16035 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/10.1016/j.ins.2008.03.016" aria-label="DOI for “Generalized fuzzy \(H_v\)-submodules endowed with interval valued membership functions.”" title="10.1016/j.ins.2008.03.016">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Ameri, R.; Zahedi, M. 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