Document Details
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Document Type |
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Thesis |
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Document Title |
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Fuzzy Soft K-algebras جبور –K الناعمة الفازية |
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Subject |
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Algebra |
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Document Language |
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English |
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Abstract |
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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
rst time in 2005 by K. H. Dar and M. Akram [22] 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, 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 was published successfuly [16].
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
(2;2 _q)-fuzzy soft K-subalgebra which is a generalization of a fuzzy soft K-
subalgebra was de
ned. Also the notion of (2 ;2 _q )-fuzzy soft K-subalgebras
was presented and some of their properties were described. These concepts also
were published as an artical in a scinti
c journal [8]. |
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Supervisor |
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Noura Omair Al-Shehri |
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Thesis Type |
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Master Thesis |
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Publishing Year |
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1434 AH
2013 AD |
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Number Of Pages |
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54 |
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Added Date |
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Wednesday, September 18, 2013 |
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Researchers
| رانية سعيد الغامدي | Al-Ghamdi, Rania Saeed | Investigator | Master | |
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