{"id":22432,"date":"2019-01-13T14:30:22","date_gmt":"2019-01-13T11:30:22","guid":{"rendered":"http:\/\/ihcoedu.uobaghdad.edu.iq\/?p=22432"},"modified":"2019-01-22T01:00:53","modified_gmt":"2019-01-21T22:00:53","slug":"%d9%85%d9%86%d8%a7%d9%82%d8%b4%d8%a9-%d8%b1%d8%b3%d8%a7%d9%84%d8%a9-%d8%b7%d8%a7%d9%84%d8%a8%d8%a9-%d8%a7%d9%84%d9%85%d8%a7%d8%ac%d8%b3%d8%aa%d9%8a%d8%b1-%d8%a7%d9%8a%d9%84%d8%a7%d9%81-%d8%b1","status":"publish","type":"post","link":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=22432","title":{"rendered":"\u0645\u0646\u0627\u0642\u0634\u0629 \u0631\u0633\u0627\u0644\u0629 \u0637\u0627\u0644\u0628\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0627\u064a\u0644\u0627\u0641 \u0631\u0639\u062f \u062d\u0633\u0646 \u0645\u0646 \u0642\u0633\u0645 \u0639\u0644\u0648\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a"},"content":{"rendered":"

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\"\"<\/strong><\/span><\/h4>\n
\n

MSc .Thesis Discussion of student Elaf Ra’ad Hassan from department of Mathematics<\/span><\/h3>\n

On Thursday, the 10th of January 2019, MSc .Thesis Discussion of student Elaf Ra’ad Hassan from department of Mathematics entitled (On KU-algebra with semi group) has been discussed<\/span><\/h3>\n

Abstract<\/span><\/h3>\n

In this thesis, we introduce a new algebraic structure namely, KU-semi group by combining KU-algebra with semi group. Then we study some concepts on this structure such as fuzzy set theory, bipolar-valued fuzzy set theory and graph theory. Firstly, we presented some properties and defined new ideals, namely, S-ideal, k-ideal and P-ideal. Secondly, We discussed a few results on these ideals under a homomorphism.<\/span><\/h3>\n

As an application of these ideals in KU-semi group, we used the notion of fuzzy set theory. We introduced fuzzy S-ideals, fuzzy k-ideals and fuzzy P-ideals for a KU-semi group and few important properties are obtained. Furthermore,\u00a0 We discussed some results of fuzzy S-ideals under the Cartesian product and a homomorphism.<\/span><\/h3>\n

\u00a0In the chapter three, we studied the notion of bipolar-valued fuzzy set theory to S-ideal and k-ideal. Also, we discussed some relations between a bipolar fuzzy k-ideal and k-ideal. We gave the Cartesian product of bipolar fuzzy k-ideals and the homomorphism of these types of ideals in KU-semi group.<\/span><\/h3>\n

Finally, we presented the\u02d1 notion of the \u02d1graph for a KU-semi group as the finite indirect simple graph\u02d1 with vertices from KU-semi group. We\u02d1 also studied another \u02d1graph, called, the graph of\u02d1 equivalence classes of\u02d1 KU-semi group which is determined\u02d1 by the definition of equivalence\u02d1 relation of\u02d1 these vertices in KU-semi group. Moreover, by\u02d1 using\u02d1 the definition\u02d1 of\u02d1 isomorphic\u02d1 graph, \u02d1we showed\u02d1 that\u02d1 the graph\u02d1 of equivalence \u02d1classes \u02d1and the \u02d1graph of KU-semi group are\u02d1 the\u02d1 same\u02d1, in special cases\u00a0\u00a0\u00a0\u00a0<\/span><\/h3>\n

Examining committee<\/span><\/h3>\n

Prof. Dr. : \u00a0\u00a0Areej Tawfeeq Hameed\u00a0 \\ Chairman<\/span><\/h3>\n

Asst. Prof. Dr. : Hatam Yahya Khalaf Hussain \\ Member<\/span><\/h3>\n

Lecturer Dr. : Wafaa Raheim Hussein\u00a0 \\ Member<\/span><\/h3>\n

Asst. Prof. Dr.: Fatema Faisal Kareem \\ Member- Supervised<\/span><\/h3>\n","protected":false},"excerpt":{"rendered":"

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