Document Zbl 07899223

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Appl. Math.</a> <a href="/?q=in%3A515283" title="Articles in this Issue">43, No. 6, Paper No. 330, 28 p. (2024)</a>. </div> <div class="abstract">Summary: Migrativity is a recently studied property of binary operations defined on the unit interval, introduced by Durante and Sarkoci for studying convex combinations of a continuous t-norm and a drastic product t-norm $T_D$. Inspired by the thought of it, in this paper, we introduce migrativity of extended general binary operations on fuzzy truth values by Zadeh extension principle, where a slight modification is considered. Based on the migrativity equation for fuzzy truth values, we discuss and present some of its characterizations specific to the binary operation that is migrative over a class of particular fuzzy truth values related to characteristic functions of elements in $[0, 1]$ and then extend it to the rather general cases, which leads to the connections and equivalence between two concepts of migrativity under specific conditions. The results of this paper can be applied immediately to the extensions of some familiar aggregation functions like t-norms and overlap functions, revealing the preliminary traits of migrativity on type-2 set.</div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><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></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Afuzzy+logic+operator">fuzzy logic operator</a>; <a href="/?q=ut%3Afuzzy+truth+value">fuzzy truth value</a>; <a href="/?q=ut%3Amigrativity">migrativity</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 07899223" data-ciurl="/ci/07899223" data-biburl="/bibtex/07899223.bib" data-amsurl="/amsrefs/07899223.bib" data-xmlurl="/xml/07899223.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07899223.pdf" title="Zbl 07899223 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/10.1007/s40314-024-02638-1" aria-label="DOI for “Migrativity of extended binary operations on fuzzy truth values”" title="10.1007/s40314-024-02638-1">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">Atanassov, KT, More on intuitionistic fuzzy sets, Fuzzy Sets Syst, 33, 1, 37-45, 1989 · <a href="/0685.03037" class="nowrap">Zbl 0685.03037</a> · <a href="https://doi.org/10.1016/0165-0114(89)90215-7" class="nowrap">doi:10.1016/0165-0114(89)90215-7</a></td> </tr><tr> <td>[2]</td> <td class="space">Atanassov, KT; 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