https://ifigenia.org/index.php?action=history&feed=atom&title=Issue%3AOn_intuitionistic_fuzzy_chained_modules 2026-05-03T15:03:13Z Revision history for this page on the wiki MediaWiki 1.43.6 https://ifigenia.org/index.php?title=Issue:On_intuitionistic_fuzzy_chained_modules&diff=13653&oldid=prev 2024-12-13T12:08:16Z

<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 15:08, 13 December 2024</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/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" 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/30/<del style="font-weight: bold; text-decoration: none;">3</del>|Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number <del style="font-weight: bold; text-decoration: none;">3</del>]], pages 297–308</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/30/<ins style="font-weight: bold; text-decoration: none;">4</ins>|Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number <ins style="font-weight: bold; text-decoration: none;">4</ins>]], pages 297–308</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>  | doi            = https://doi.org/10.7546/nifs.2024.30.4.297-308</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>  | doi            = https://doi.org/10.7546/nifs.2024.30.4.297-308</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-30-4-297-308.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-30-4-297-308.pdf</div></td></tr> </table>

Vassia Atanassova https://ifigenia.org/index.php?title=Issue:On_intuitionistic_fuzzy_chained_modules&diff=13652&oldid=prev 2024-12-13T12:07:56Z

<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 15:07, 13 December 2024</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/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" 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/30/3|Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 3]], pages <del style="font-weight: bold; text-decoration: none;">203–214</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>  | issue          = [[Notes on Intuitionistic Fuzzy Sets/30/3|Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 3]], pages <ins style="font-weight: bold; text-decoration: none;">297–308</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>  | doi            = https://doi.org/10.7546/nifs.2024.30.4.297-308</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>  | doi            = https://doi.org/10.7546/nifs.2024.30.4.297-308</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-30-4-297-308.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-30-4-297-308.pdf</div></td></tr> </table>

Vassia Atanassova https://ifigenia.org/index.php?title=Issue:On_intuitionistic_fuzzy_chained_modules&diff=13649&oldid=prev 2024-12-13T12:02:28Z

<p>Created page with &quot;<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_2024_year" title="Category:Publications in 2024 year">{{PAGENAME}}</a> {{issue/title | title = On intuitionistic fuzzy chained modules | shortcut = nifs/30/4/297-308 }} {{issue/author | author = Poonam Kumar Sharma | institution = Post-Graduate Department of Mathematics, D.A.V. College | address = Jalandhar, Punjab, India...&quot;</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 2024 year|{{PAGENAME}}]]<br /> {{issue/title<br /> | title = On intuitionistic fuzzy chained modules <br /> | shortcut = nifs/30/4/297-308<br /> }}<br /> {{issue/author<br /> | author = Poonam Kumar Sharma<br /> | institution = Post-Graduate Department of Mathematics, D.A.V. College <br /> | address = Jalandhar, Punjab, India<br /> | email-before-at = pksharma<br /> | email-after-at = davjalandhar.com<br /> }}<br /> {{issue/data<br /> | issue = [[Notes on Intuitionistic Fuzzy Sets/30/3|Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 3]], pages 203–214<br /> | doi = https://doi.org/10.7546/nifs.2024.30.4.297-308<br /> | file = NIFS-30-4-297-308.pdf<br /> | format = PDF<br /> | size = 292<br /> | abstract = In this paper, we introduce and explore some novel concepts within the frame work of intuitionistic fuzzy module theory. First, we define the notion of an intuitionistic fuzzy chained module as a generalisation of chained modules, establishing it foundational properties. We then characterise intuitionistic fuzzy chained modules, in terms of its level-cut submodules. In addition to this, we describe an intuitionistic fuzzy chained module in terms of its intuitionistic fuzzy cyclic submodules. Finally, we demonstrate that under specific conditions, the intuitionistic fuzzy multiplication module is an intuitionistic fuzzy chained module.<br /> | keywords = Intuitionistic fuzzy chained module, Intuitionistic fuzzy (cyclic) submodule, Intuitionistic fuzzy multiplication module, Intuitionistic fuzzy (prime) ideal.<br /> | ams = 54C50, 03F55, 16D10, 08A72, 16N80.<br /> | references = <br /> # Anderson, F. W., &amp; Fuller, K.R. (1992). Rings and Categories of Modules. Graduate Texts in Mathematics, No. 13, Springer-Verlag, New York - Heidelberg - Berlin.<br /> # Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.<br /> # Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets Theory and Applications, Studies on Fuzziness and Soft Computing, 35, Physica-Verlag, Heidelberg.<br /> # Bakhadach, I., Melliani, S., Oukessou, M., &amp; Chadli, S. L. (2016). [[Issue:Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a ring|Intuitionistic fuzzy ideal and intuitionistic fuzzy prime ideal in a ring]]. Notes on Intuitionistic Fuzzy Sets, 22(2), 59–63.<br /> # Basnet, D.K. (2011). Topics in Intuitionistic Fuzzy Algebra. Lambert Academic Publishing. ISBN: 978-3-8443-9147-3<br /> # Baupradist, S., &amp; Hai, H. D. (2022). Intuitionistic fuzzy uniform modules. ICIC Express Letters, 16(11), 1223–1227.<br /> # Biswas, R. (1989). Intuitionistic fuzzy subgroup. Mathematical Forum, X, 37–46.<br /> # Davvaz, B., Dudek, W.A., &amp; Jun, Y. B. (2006). Intuitionistic fuzzy Hv-submodules. Information Sciences, 176, 285-300.<br /> # Hur, K., Kang, H. K., &amp; Song, H.K. (2003). Intuitionistic fuzzy subgroup and subrings. Honam Mathematical Journal, 25(1), 19-41.<br /> # Hur, K., Jang, S. Y., &amp; Kang, H. W. (2005). Intuitionistic fuzzy ideals of a ring. Journal of the Korea Society of Mathematical Education, Series B., 12(3), 193–209.<br /> # Isaac, P., &amp; John, P.P. (2011). On intuitionistic fuzzy submodules of a module. International Journal of Mathematical Sciences and Applications, 1(3), 1447–1454.<br /> # John, P.P., &amp; Isaac, P. (2013). IFSM’s generated by IFS’s. International Journal of Mathematics Research, 5(3), 333–341.<br /> # Mohammad, A.A., (1997). Chained Modules. M.Sc. Thesis, University of Baghdad.<br /> # Sharma, P. K. (2011). (α, β)-cut of intuitionistic fuzzy modules. International Journal of Mathematical Sciences and Applications, 1(3), 1489–1492.<br /> # Sharma, P. K., &amp; Kaur, G. (2016). [[Issue:Intuitionistic fuzzy superfluous submodule|Intuitionistic fuzzy superfluous submodule]]. Notes on Intuitionistic Fuzzy Sets, 22(3), 34–46.<br /> # Sharma, P. K., &amp; Kaur, G. (2017). Intuitionistic fuzzy prime spectrum of a ring. CiiT International Journal of Fuzzy Systems, 9(8), 167–175.<br /> # Sharma, P. K., &amp; Kaur, G. (2017). Residual quotient and annihilator of intuitionistic fuzzy sets of ring and module. International Journal of Computer Science and Information Technology (IJCSIT), 9(4), 1–15.<br /> # Sharma, P. K., &amp; Kaur, G. (2018). [[Issue:On intuitionistic fuzzy prime submodules|On intuitionistic fuzzy prime submodules]]. Notes on Intuitionistic Fuzzy Sets, 24(4), 97–112.<br /> # Sharma, P. K. (2022). On intuitionistic fuzzy multiplication modules. Annals of Fuzzy Mathematics and Informatics, 23(3), 295–309.<br /> # Sharma, P. K. (2023). [[Issue:On intuitionistic L-fuzzy socle of modules|On intuitionistic L-fuzzy socle of modules]]. Notes on Intuitionistic Fuzzy Sets, 29(1), 65–73.<br /> # Uddin, M. A. (2016). A study on uniserial and serial rings and modules, M.Phil. Dissertation, Bangladesh University of Engineering and Technology, Dhaka.<br /> # Wisbauer, R. (1991). Foundations of Modules and Ring Theory, Gordon and Breach, London, Tokyo.<br /> # Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338—353.<br /> | citations = <br /> | see-also = <br /> }}</div>

Vassia Atanassova