https://ifigenia.org/index.php?action=history&feed=atom&title=Issue%3AOn_the_extension_of_group-valued_measures 2026-05-03T19:04:20Z Revision history for this page on the wiki MediaWiki 1.43.6 https://ifigenia.org/index.php?title=Issue:On_the_extension_of_group-valued_measures&diff=13314&oldid=prev 2024-08-29T09:05:31Z

<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-l15">Line 15:</td> <td colspan="2" class="diff-lineno">Line 15:</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      =  </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      =  </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/20/4|"Notes on <del style="font-weight: bold; text-decoration: none;">IFS</del>", Volume 20, 2014, Number 4]], pages 19–31</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/20/4|"Notes on <ins style="font-weight: bold; text-decoration: none;">Intuitionistic Fuzzy Sets</ins>", Volume 20, 2014, Number 4]], pages 19–31</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-20-4-19-31.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-20-4-19-31.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_the_extension_of_group-valued_measures&diff=8384&oldid=prev 2016-01-20T12:12:21Z

<p>Created page with &quot;[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]] <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> {...&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 2014 year|{{PAGENAME}}]]<br /> {{issue/title<br /> | title = On the extension of group-valued measures <br /> | shortcut = nifs/20/4/19-31<br /> }}<br /> {{issue/author<br /> | author = Alžbeta Michalíková <br /> | institution = Faculty of Natural Sciences, Matej Bel University<br /> | address = Tajovského 40, SK-974 01 Banská Bystrica <br /> | email-before-at = alzbeta.michalikova<br /> | email-after-at = umb.sk<br /> }}<br /> {{issue/data<br /> | conference = <br /> | issue = [[Notes on Intuitionistic Fuzzy Sets/20/4|&quot;Notes on IFS&quot;, Volume 20, 2014, Number 4]], pages 19–31<br /> | file = NIFS-20-4-19-31.pdf<br /> | format = PDF<br /> | size = 171<br /> | abstract = Since any space of IF-sets can be embedded to an MV-algebra ([12]), and any MV- algebra can be presented as an interval in a lattice ordered group ([9]), it is interesting to study measures with respect to l-groups. In this paper the group-valued outer measures are studied. The main result is the Choquet lemma concerning lower continuity of the induced outer measure. The result is applied to the group-valued measure extension theorem.<br /> | keywords = Measure, G-valued outer measure.<br /> | ams = 03E72<br /> | references = <br /> # Atanassov, K., Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg, 1999.<br /> # Atanassov, K., On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.<br /> # Carathéodory, C., Vorelsungen über reele Funktionen. Leipzig, Berlin 1927.<br /> # Cignoli, R., I. M. L. D’Ottaviano, D. Mundici, Algebraic Foundations of Many-Valued Reasoning, Trends in Logic, Studia Logica Library, Vol. 7, Kluwer, Dordrecht, 2000.<br /> # Fremlin, D. H., A direct proof of the Matthes–Wright integral extension theorem. J. London Math. Soc., Vol. 11, 1975, 276–284.<br /> # Fremlin, D. H., Topological Riesz Spaces and Measure Theory, Cambridge Univ. Press, 1974.<br /> # Michalíková, A., V. Valenčáková, Outer measure on F-sets, In: Proc. of 3rd International IEEE Conference Intelligent Systems, London, September 2006, 728–729.<br /> # Michalíková, A., On the extension of Riesz space valued operators. Journal of Electrical Engineering, Vol. 57, 2006, No. 7/s, 89–91.<br /> # Mundici, D., Interpretation of AFC*-algebras in Łukasiewicz sentential calculus, J. Funct. Anal., Vol. 65, 1986, 15–63.<br /> # Riečan, B., Carathéodory measurability revisites. Tatra Moutnains Math. Publ., Vol. 34, 2006, No. 2, 321–332.<br /> # Riečan, B., On measures and integrals with values in ordered groups. Math. Slovaca, Vol. 33, 1983, 153–163.<br /> # Riečan, B., Analysis of Fuzzy Logic Models. In: Intelligent Systems (V. M. Koleshko ed.),INTECH 2012, 219–240.<br /> # Riečan, B., T. Neubrunn, Integral, Measure, and Ordering. Kluwer Academic Publishers, Dordrecht and Ister Science, Bratislava, 1997.<br /> # Wright. J. D. M., Stone-algebra-valued measures for vector lattices. Ann. Inst. Fourier (Grenoble), Vol. 21, 1971, 65–85.<br /> <br /> | citations = <br /> | see-also = <br /> }}</div>

Peter Vassilev