Soft Strongly generalized closed set with respect to an ideal in soft topological space

العناوين الأخرى

المجموع المغلقة من النمط SSIg في فضاء تبولوجي ناعم بالنسبة إلى مثالي

مقدم أطروحة جامعية

Bdiawi, al-Yasa Jasim

مشرف أطروحة جامعية

Abd al-Jabbar, Narjis

أعضاء اللجنة

Majid, Taghrid Hurr
Hadi, Inam Muhammad Ali
al-Muhammadi, Haydar Jabbur Ali

الجامعة

جامعة بغداد

الكلية

كلية التربية للعلوم الصرفة-ابن الهيثم

القسم الأكاديمي

قسم الرياضيات

دولة الجامعة

العراق

الدرجة العلمية

ماجستير

تاريخ الدرجة العلمية

2015

الملخص الإنجليزي

In this work, we introduced and studied a new kind of soft generalized closed set in soft topological spaces with an ideal, which we called soft strongly generalized closed set with respect to an ideal where a soft subset (A,E) of a soft topological space with an ideal I, (X,τ,E) is said to be soft strongly generalized closed set with respect to an ideal I ,(briefly SSIg- closed), if cl(int(A,E))-(B,E)∈I , whenever (A,E)  (B,E) and (B,E) is soft open set.

And denoted by SSIg-closed set .

The complement of SSIgclosed set is called an SSIg-open set.

We studied the properties of SSIg-closed set, then we used SSIg-open set to define five kinds of derived sets, which are the SSIg-interior, SSIgclosure, SSIg-derived, SSIg-border, and SSIg-boundary with their relations and properties .

On the other side, we define new kinds of soft mappings between soft topological spaces, like SSIg-continuous, Contra-SSIg-continuous, SSIgopen, SSIg-closed and SSIg-irresolute mapping we studied the relations between these kinds of mappings and the composition of two mappings of the same type of two different types, with proofs or counter examples

التخصصات الرئيسية

الرياضيات

عدد الصفحات

88

قائمة المحتويات

• APA
• MLA
• AMA

لغة النص

الإنجليزية

نوع البيانات

رسائل جامعية

رقم السجل

BIM-735837