https://ifigenia.org/index.php?action=history&feed=atom&title=Issue%3AOn_level_operators_for_temporal_intuitionistic_fuzzy_sets 2026-05-14T08:50:02Z Revision history for this page on the wiki MediaWiki 1.43.6 https://ifigenia.org/index.php?title=Issue:On_level_operators_for_temporal_intuitionistic_fuzzy_sets&diff=13921&oldid=prev 2025-06-25T11:16:11Z

<p>Gökhan Çuvalcıoğlu</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:16, 25 June 2025</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l14">Line 14:</td> <td colspan="2" class="diff-lineno">Line 14:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{issue/author</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{issue/author</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>  | author          = Gökhan <del style="font-weight: bold; text-decoration: none;">Çuvalcioğlu</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>  | author          = Gökhan <ins style="font-weight: bold; text-decoration: none;">Çuvalcıoğlu</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | institution    = Department of Mathematics</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | institution    = Department of Mathematics</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | address        = Faculty of Arts and Sciences Mersin University, Mersin, Turkey</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | address        = Faculty of Arts and Sciences Mersin University, Mersin, Turkey</div></td></tr> </table>

Vassia Atanassova https://ifigenia.org/index.php?title=Issue:On_level_operators_for_temporal_intuitionistic_fuzzy_sets&diff=13325&oldid=prev 2024-08-29T09:05:57Z

<p>Text replacement - &quot;&quot;Notes on IFS&quot;, Volume&quot; to &quot;&quot;Notes on Intuitionistic Fuzzy Sets&quot;, Volume&quot;</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 12:05, 29 August 2024</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l22">Line 22:</td> <td colspan="2" class="diff-lineno">Line 22:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{issue/data</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{issue/data</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | conference      =  18th [[International Conference on Intuitionistic Fuzzy Sets]], 10–11 May 2014, Sofia, Bulgaria  </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | conference      =  18th [[International Conference on Intuitionistic Fuzzy Sets]], 10–11 May 2014, Sofia, Bulgaria  </div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>  | issue          = [[Notes on Intuitionistic Fuzzy Sets/20/2|"Notes on <del style="font-weight: bold; text-decoration: none;">IFS</del>", Volume 20, 2014, Number 2]], pages 6—15</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>  | issue          = [[Notes on Intuitionistic Fuzzy Sets/20/2|"Notes on <ins style="font-weight: bold; text-decoration: none;">Intuitionistic Fuzzy Sets</ins>", Volume 20, 2014, Number 2]], pages 6—15</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | file            = NIFS-20-2-06-15.pdf</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | file            = NIFS-20-2-06-15.pdf</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | format          = PDF</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | format          = PDF</div></td></tr> </table>

Vassia Atanassova https://ifigenia.org/index.php?title=Issue:On_level_operators_for_temporal_intuitionistic_fuzzy_sets&diff=11009&oldid=prev 2021-12-20T13:52:07Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:52, 20 December 2021</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l43">Line 43:</td> <td colspan="2" class="diff-lineno">Line 43:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | see-also        =  </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | see-also        =  </div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[Category:Publications of Sinem Tarsuslu (Yılmaz)]]</ins></div></td></tr> </table>

Vassia Atanassova https://ifigenia.org/index.php?title=Issue:On_level_operators_for_temporal_intuitionistic_fuzzy_sets&diff=7283&oldid=prev 2014-11-15T12:27:06Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:27, 15 November 2014</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7">Line 7:</td> <td colspan="2" class="diff-lineno">Line 7:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>}}</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{issue/author</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{issue/author</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>  | author          = Sinem <del style="font-weight: bold; text-decoration: none;">Yilmaz</del></div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>  | author          = Sinem <ins style="font-weight: bold; text-decoration: none;">Yılmaz</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | institution    = Department of Mathematics</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | institution    = Department of Mathematics</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | address        = Faculty of Arts and Sciences Mersin University, Mersin, Turkey</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | address        = Faculty of Arts and Sciences Mersin University, Mersin, Turkey</div></td></tr> </table>

Vassia Atanassova https://ifigenia.org/index.php?title=Issue:On_level_operators_for_temporal_intuitionistic_fuzzy_sets&diff=7177&oldid=prev 2014-05-08T14:19:44Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:19, 8 May 2014</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l26">Line 26:</td> <td colspan="2" class="diff-lineno">Line 26:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | format          = PDF</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | format          = PDF</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | size            = 188</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | size            = 188</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>  | abstract        = In 1965, Fuzzy Set Theory was defined by Zadeh as an extension of crisp sets, [8]. K. T. Atanassov generalized fuzzy sets in to Intuitionistic Fuzzy Sets in 1983, [1]. He defined</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>  | abstract        = In 1965, Fuzzy Set Theory was defined by Zadeh as an extension of crisp sets, [8]. K. T. Atanassov generalized fuzzy sets in to Intuitionistic Fuzzy Sets in 1983, [1]. He defined some operations and operators on intuitionistic fuzzy sets, like modal operators, level operators etc. In 1991, Atanassov introduced Temporal Intuitionistic Fuzzy Sets. Temporal intuitionistic fuzzy set is an extension of intuitionistic fuzzy set by “time-moments”, [2]. After this extension author shows that all operations and operators on the intuitionistic fuzzy sets can be defined for the temporal intuitionistic fuzzy sets. In 2009, Parvathi and Geetha defined some level operators, max-min implication operators and &lt;math&gt;P_{\alpha,\beta}&lt;/math&gt;,  &lt;math&gt;Q_{\alpha,\beta}&lt;/math&gt; operators on temporal intuitionistic fuzzy sets, [7]. In this study we will introduce &lt;math&gt;N_B(A)&lt;/math&gt; and &lt;math&gt;N^*_B (A)&lt;/math&gt; operators on temporal intuitionistic fuzzy sets with extension to new universal and we will examine some properties of these operators.   </div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>some operations and operators on intuitionistic fuzzy sets, like modal operators, level operators etc. In 1991, Atanassov introduced Temporal Intuitionistic Fuzzy Sets. Temporal intuitionistic</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>fuzzy set is an extension of intuitionistic fuzzy set by “time-moments”, [2]. After this extension author shows that all operations and operators on the intuitionistic fuzzy sets can be defined for</div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>the temporal intuitionistic fuzzy sets. In 2009, Parvathi and Geetha defined some level operators, max-min implication operators and &lt;math&gt;P_{\alpha,\beta}&lt;/math&gt;,  &lt;math&gt;Q_{\alpha,\beta}&lt;/math&gt; operators on temporal intuitionistic fuzzy sets, [7]. In this study we will introduce &lt;math&gt;N_B(A)&lt;/math&gt; and &lt;math&gt;N^*_B (A)&lt;/math&gt; operators on temporal intuitionistic fuzzy sets with extension to new universal and we will examine some properties of these operators.   </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | keywords        = Intuitionistic fuzzy sets, Temporal intuitionistic fuzzy sets, Level operators.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | keywords        = Intuitionistic fuzzy sets, Temporal intuitionistic fuzzy sets, Level operators.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | ams            = 03E72, 47S40.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | ams            = 03E72, 47S40.</div></td></tr> </table>

Peter Vassilev https://ifigenia.org/index.php?title=Issue:On_level_operators_for_temporal_intuitionistic_fuzzy_sets&diff=7176&oldid=prev 2014-05-08T14:19:13Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:19, 8 May 2014</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l29">Line 29:</td> <td colspan="2" class="diff-lineno">Line 29:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>some operations and operators on intuitionistic fuzzy sets, like modal operators, level operators etc. In 1991, Atanassov introduced Temporal Intuitionistic Fuzzy Sets. Temporal intuitionistic</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>some operations and operators on intuitionistic fuzzy sets, like modal operators, level operators etc. In 1991, Atanassov introduced Temporal Intuitionistic Fuzzy Sets. Temporal intuitionistic</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>fuzzy set is an extension of intuitionistic fuzzy set by “time-moments”, [2]. After this extension author shows that all operations and operators on the intuitionistic fuzzy sets can be defined for</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>fuzzy set is an extension of intuitionistic fuzzy set by “time-moments”, [2]. After this extension author shows that all operations and operators on the intuitionistic fuzzy sets can be defined for</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>the temporal intuitionistic fuzzy sets. In 2009, Parvathi and Geetha defined some level operators, max-min implication operators and <del style="font-weight: bold; text-decoration: none;">P�;�</del>, <del style="font-weight: bold; text-decoration: none;">Q�;� </del>operators on temporal intuitionistic fuzzy sets, [7].</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>the temporal intuitionistic fuzzy sets. In 2009, Parvathi and Geetha defined some level operators, max-min implication operators and <ins style="font-weight: bold; text-decoration: none;">&lt;math&gt;P_{\alpha</ins>,<ins style="font-weight: bold; text-decoration: none;">\beta}&lt;/math&gt;,  &lt;math&gt;Q_{\alpha,\beta}&lt;/math&gt; </ins>operators on temporal intuitionistic fuzzy sets, [7]. In this study we will introduce <ins style="font-weight: bold; text-decoration: none;">&lt;math&gt;N_B</ins>(A)<ins style="font-weight: bold; text-decoration: none;">&lt;/math&gt; </ins>and <ins style="font-weight: bold; text-decoration: none;">&lt;math&gt;N^*_B </ins>(A)<ins style="font-weight: bold; text-decoration: none;">&lt;/math&gt; </ins>operators on temporal intuitionistic fuzzy sets with extension to new universal and we will examine some properties of these operators.   </div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>In this study we will introduce <del style="font-weight: bold; text-decoration: none;">NB</del>(A) and <del style="font-weight: bold; text-decoration: none;">N�B </del>(A) operators on temporal intuitionistic fuzzy sets with extension to new universal and we will examine some properties of these operators.   </div></td><td colspan="2" class="diff-side-added"></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | keywords        = Intuitionistic fuzzy sets, Temporal intuitionistic fuzzy sets, Level operators.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | keywords        = Intuitionistic fuzzy sets, Temporal intuitionistic fuzzy sets, Level operators.</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | ams            = 03E72, 47S40.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | ams            = 03E72, 47S40.</div></td></tr> </table>

Peter Vassilev https://ifigenia.org/index.php?title=Issue:On_level_operators_for_temporal_intuitionistic_fuzzy_sets&diff=7175&oldid=prev 2014-05-08T14:15:33Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 17:15, 8 May 2014</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l26">Line 26:</td> <td colspan="2" class="diff-lineno">Line 26:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | format          = PDF</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | format          = PDF</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | size            = 188</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | size            = 188</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>  | abstract        = <del style="font-weight: bold; text-decoration: none;">Short comparison between concepts </del>of <del style="font-weight: bold; text-decoration: none;">interval type</del>-2 fuzzy sets and intuitionistic fuzzy sets <del style="font-weight: bold; text-decoration: none;">is given</del>.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>  | abstract        = <ins style="font-weight: bold; text-decoration: none;">In 1965, Fuzzy Set Theory was defined by Zadeh as an extension of crisp sets, [8]. K. T. Atanassov generalized fuzzy sets in to Intuitionistic Fuzzy Sets in 1983, [1]. He defined</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>  | keywords        = <del style="font-weight: bold; text-decoration: none;">Interval type-2 </del>fuzzy <del style="font-weight: bold; text-decoration: none;">set</del>, <del style="font-weight: bold; text-decoration: none;">Intuitionistic </del>fuzzy <del style="font-weight: bold; text-decoration: none;">set</del>.</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">some operations and operators on intuitionistic fuzzy sets, like modal operators, level operators etc. In 1991, Atanassov introduced Temporal Intuitionistic Fuzzy Sets. Temporal intuitionistic</ins></div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>  | ams            = 03E72</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">fuzzy set is an extension </ins>of <ins style="font-weight: bold; text-decoration: none;">intuitionistic fuzzy set by “time</ins>-<ins style="font-weight: bold; text-decoration: none;">moments”, [</ins>2<ins style="font-weight: bold; text-decoration: none;">]. After this extension author shows that all operations and operators on the intuitionistic </ins>fuzzy sets <ins style="font-weight: bold; text-decoration: none;">can be defined for</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">the temporal intuitionistic fuzzy sets. In 2009, Parvathi and Geetha defined some level operators, max-min implication operators and P�;�, Q�;� operators on temporal intuitionistic fuzzy sets, [7].</ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">In this study we will introduce NB(A) </ins>and <ins style="font-weight: bold; text-decoration: none;">N�B (A) operators on temporal </ins>intuitionistic fuzzy sets <ins style="font-weight: bold; text-decoration: none;">with extension to new universal and we will examine some properties of these operators</ins>. <ins style="font-weight: bold; text-decoration: none;"> </ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>  | keywords        = <ins style="font-weight: bold; text-decoration: none;">Intuitionistic </ins>fuzzy <ins style="font-weight: bold; text-decoration: none;">sets</ins>, <ins style="font-weight: bold; text-decoration: none;">Temporal intuitionistic </ins>fuzzy <ins style="font-weight: bold; text-decoration: none;">sets, Level operators</ins>.</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>  | ams            = 03E72<ins style="font-weight: bold; text-decoration: none;">, 47S40.</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | references      =  </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>  | references      =  </div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> </table>

Peter Vassilev https://ifigenia.org/index.php?title=Issue:On_level_operators_for_temporal_intuitionistic_fuzzy_sets&diff=7164&oldid=prev 2014-05-08T13:57:37Z

<p>New page: <a href="/wiki/Category:Publications_on_intuitionistic_fuzzy_sets" title="Category:Publications on intuitionistic fuzzy sets">{{PAGENAME}}</a> <a href="/wiki/Category:Publications_in_Notes_on_IFS" title="Category:Publications in Notes on IFS">{{PAGENAME}}</a> <a href="/wiki/Category:Publications_in_2014_year" title="Category:Publications in 2014 year">{{PAGENAME}}</a> {{issue/title...</p> <p><b>New page</b></p><div>[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]<br /> [[Category:Publications in Notes on IFS|{{PAGENAME}}]]<br /> [[Category:Publications in 2014 year|{{PAGENAME}}]]<br /> {{issue/title<br /> | title = On level operators for temporal intuitionistic fuzzy sets<br /> | shortcut = nifs/20/2/6-15<br /> }}<br /> {{issue/author<br /> | author = Sinem Yilmaz<br /> | institution = Department of Mathematics<br /> | address = Faculty of Arts and Sciences Mersin University, Mersin, Turkey<br /> | email-before-at = sinemyilmaz<br /> | email-after-at = mersin.edu.tr<br /> }}<br /> {{issue/author<br /> | author = Gökhan Çuvalcioğlu<br /> | institution = Department of Mathematics<br /> | address = Faculty of Arts and Sciences Mersin University, Mersin, Turkey<br /> | email-before-at = gcuvalcioglu<br /> | email-after-at = mersin.edu.tr<br /> }}<br /> {{issue/data<br /> | conference = 18th [[International Conference on Intuitionistic Fuzzy Sets]], 10–11 May 2014, Sofia, Bulgaria <br /> | issue = [[Notes on Intuitionistic Fuzzy Sets/20/2|&quot;Notes on IFS&quot;, Volume 20, 2014, Number 2]], pages 6—15<br /> | file = NIFS-20-2-06-15.pdf<br /> | format = PDF<br /> | size = 188<br /> | abstract = Short comparison between concepts of interval type-2 fuzzy sets and intuitionistic fuzzy sets is given.<br /> | keywords = Interval type-2 fuzzy set, Intuitionistic fuzzy set.<br /> | ams = 03E72<br /> | references = <br /> <br /> # Atanassov, K. T., Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, 87–96.<br /> # Atanassov, K. T., Intuitionistic fuzzy sets, Proc. of VII ITKR’s Session, Sofia, June 1983 (in Bulgarian).<br /> # Atanassov, K. T., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012, 260–264.<br /> # Atanassov, K. T., Temporal intuitionistic fuzzy sets, Comptes Rendus de l’Academie Bulgare, Vol. 7, 1991, 5–7.<br /> # Çuvalcioğlu, G., S. Yılmaz, Extension of intuitionistic fuzzy sets to new universal, Journal of Fuzzy Set Valued Analysis (in press).<br /> # Parvathi, R., S. P. Geetha, A note on properties of temporal intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol.15, 2009, No. 1, 42–48.<br /> # Riečan, B.., K. Atanassov, On intuitionistic fuzzy level operators, Notes on Intuitionistic Fuzzy Sets, Vol. 16, 2010, No. 3, 42–44.<br /> # Zadeh. L.A., Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353.<br /> <br /> | citations = <br /> | see-also = <br /> }}</div>

Peter Vassilev