Document Details

Document Type : Thesis 
Document Title :
Fuzzy Soft K-algebras
جبور-K الناعمة الفازية
 
Subject : mathematics department 
Document Language : Arabic 
Abstract : The subject of this thesis depends on the study of the concept of modern algebraic concepts, a concept of K-algebras where this concept was originated for the first time in 2005 by K. H. Dar and M. Akram along with two other concepts: soft sets theory and fuzzy soft sets theory. In chapter 1: The previous concepts of K-algebras, soft sets theory and fuzzy soft theory were introduced. Also, some of the properties, theories and results were reviewed in order to take advantage of them in the coming chapters of the thesis. In chapter 2: Soft set theory was applied to K-algebras and some examples were introduced. The notion of abelian soft K-algebras was presented. Also the concept of soft intersection K-subalgebras was discussed and some of the properties of the above three concepts were invistigated. These concepts and results were submitted as an artical and were published in scientific journal. In chapter 3: The concept of fuzzy soft K-subalgebras was introduced and some of their properties were investigated. Fuzzy soft images and fuzzy soft inverse images of fuzzy soft K-subalgebras were discussed. The notion of an (∈,∈∨q)-fuzzy soft K-subalgebra which is a generalization of a fuzzy soft K-subalgebra was defined. Also the notion of (∈_α,∈_α∨q_β)-fuzzy soft K-subalgebras was presented and some of their properties were described. These concepts also were published as an artical in scintific journal 
Supervisor : Dr. Noura Omair Al-Shehri 
Thesis Type : Master Thesis 
Publishing Year : 1434 AH
2013 AD 
Added Date : Monday, June 10, 2013 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
رانية سعيد الغامديAl-Ghamdi, Rania SaeedResearcherMaster 

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