A NEW VIEW OF FUZZY IDEALS ON SOME ALGEBRAS
Alaa Eldin Ibrahim Saleh Mahmoud Elkabany;
Abstract
The thesis deals mainly with a new algebraic structure is called PU-algebra, new view of several ideals on PU-Algebra, G-part, P-radical, -fuzzy new-ideal, -anti fuzzy new-ideal, -interval valued fuzzy new-ideal, -cubic new-ideal, triangular -fuzzy and sensible -anti fuzzy new-ideal.
This thesis has been mainly divided into five chapters. The main text of the thesis is in chapters 2, 3, 4 and 5.
In chapter 1 we have given an exhaustive of the basic definitions of some algebras and fuzzy sets needed in the subsequent chapters.
In chapter 2 we introduce a new algebraic structure is called PU-algebra and new view of several ideals on PU-Algebra.
In chapter 3 we introduce the notions, - fuzzy and -anti fuzzy new-ideal of a PU-algebra.
In chapter 4 we generalize several results of Chapter 3. We introduce the notions, -interval valued fuzzy new-ideal of a PU-algebra and -cubic new-ideal of a PU-algebra.
Finally in chapter 5 we discuss and investigate new notions called triangular -fuzzy and sensible -anti fuzzy new-ideal of a PU-algebra.
This thesis has been mainly divided into five chapters. The main text of the thesis is in chapters 2, 3, 4 and 5.
In chapter 1 we have given an exhaustive of the basic definitions of some algebras and fuzzy sets needed in the subsequent chapters.
In chapter 2 we introduce a new algebraic structure is called PU-algebra and new view of several ideals on PU-Algebra.
In chapter 3 we introduce the notions, - fuzzy and -anti fuzzy new-ideal of a PU-algebra.
In chapter 4 we generalize several results of Chapter 3. We introduce the notions, -interval valued fuzzy new-ideal of a PU-algebra and -cubic new-ideal of a PU-algebra.
Finally in chapter 5 we discuss and investigate new notions called triangular -fuzzy and sensible -anti fuzzy new-ideal of a PU-algebra.
Other data
| Title | A NEW VIEW OF FUZZY IDEALS ON SOME ALGEBRAS | Other Titles | " نظرة جديدة للمثاليات الفازية على بعض الجبريات " | Authors | Alaa Eldin Ibrahim Saleh Mahmoud Elkabany | Issue Date | 2016 |
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