https://ifigenia.org/index.php?action=history&feed=atom&title=Issue%3AAn_embedding_IF-sets_to_MV-algebras 2026-05-04T12:08:31Z Revision history for this page on the wiki MediaWiki 1.43.6 https://ifigenia.org/index.php?title=Issue:An_embedding_IF-sets_to_MV-algebras&diff=7889&oldid=prev 2015-10-19T13:44:12Z

<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:IWIFS_conference_publications" title="Category:IWIFS conference publications">{{PAGENAME}}</a> Category:Publications in Notes on IFS|{{PAGENAME}...&quot;</p> <p><b>New page</b></p><div>[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]<br /> [[Category:IWIFS conference publications|{{PAGENAME}}]]<br /> [[Category:Publications in Notes on IFS|{{PAGENAME}}]]<br /> [[Category:Publications in 2007 year|{{PAGENAME}}]]<br /> {{issue/title<br /> | title = An embedding IF-sets to MV-algebras<br /> | shortcut = nifs/13/4/05-09<br /> }}<br /> {{issue/author<br /> | author = Petra Mazureková<br /> | institution = Faculty of Natural Sciences, Matej Bel University<br /> | address = Tajovského 40, SK-974 01 Banská Bystrica<br /> | email-before-at = korcova<br /> | email-after-at = fpv.umb.sk<br /> }}<br /> {{issue/data<br /> | conference = 3&lt;sup&gt;rd&lt;/sup&gt; [[International Workshop on Intuitionistic Fuzzy Sets]], 3 October 2007, Banská Bystrica, Slovakia. <br /> | issue = [[Notes on Intuitionistic Fuzzy Sets/13/4|Notes on Intuitionistic Fuzzy Sets, Volume 13, Number 4]], pages 5—9<br /> | file = NIFS-13-4-05-09.pdf<br /> | format = PDF<br /> | size = 1701<br /> | abstract = <br /> MV-algebras and [[Intuitionistic fuzzy set|IF-sets]] were studying in the past. On MV-algebras there is built a good theory of probability. It will be good make use this theory of probability in connection with IF-set. Therefore I essayed about embedding IF-set to MV-algebra. Then we can use known knowledges from MV-algebras. In my contribution I define fundamental notions, like MV-algebra, tribe and IF-set. There I declare and prove, that any IF-set can be embedded to an MV-algebra. This result generalized the previous result of [3], where it was proved only for tribes of all measurable functions.<br /> <br /> | keywords = [[Intuitionistic fuzzy sets]], Intuitionistic fuzzy partitions, Intuitionistic fuzzy dynamical systems, Intuitionistic fuzzy entropy<br /> | references = <br /> # [[Krassimir Atanassov|Atanasov, K.]]: [[Intuitionistic Fuzzy Sets: Theory and Applications]]. Physica Verlang, New York 1999.<br /> # Cignoli R., D&#039;Ottaviano I.M.L., Mundici D.: Foundations of Many - Valued Reasoning. Kluwer, Dordrecht 2000.<br /> # [[Beloslav Riecan|Riecan, B.]]: On IF-sets and MV-algebras,Proc. IPMU&#039;2006 (accepted)<br /> | citations = <br /> | see-also =<br /> }}</div>

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