Document Details

Document Type : Thesis 
Document Title :
Intuitionistic Fuzzy Set Theory Applied to BCK - algebras
تطبيق نظرية المجموعات الفازية الحدسية على جبور - BCK
 
Subject : Faculty of Sciences > mathematics department 
Document Language : Arabic 
Abstract : The subject of this thesis depends on intuitionistic fuzzy BCK - algebras. In the first chapter we recalled some elementary basic definitions and results on intuitionistic fuzzy sets. The second chapter is devoted to study the concept of BCK- algebras and we investigated the fuzzification of BCK-algebras and discussed some of its properties. In the third chapter we studied the intuitionistic fuzzy ideals of BCK-algebras, and we introduced the notion of intuitionistic fuzzy BCK-submodules and investigated further related properties. We introduced the notion of intuitionistic (T,S) -fuzzy BCK- submodules by using triangular norms. Also, we presented some basic results on intuitionistic fuzzy BCK-submodules with respect to triangular norms and we have investigated various properties. The concept of interval-valued intuitionistic fuzzy BCK-submodules and (∈,∈⋁q)-interval-valued intuitionistic fuzzy BCK-submodules of BCK-algebra were presented and some of their properties were investigated. These concepts and results were submitted as an articles to scientific journals, and we obtained an acceptance to publish one of these articles. 
Supervisor : Prof. Noura Omair Alshehri 
Thesis Type : Master Thesis 
Publishing Year : 1437 AH
2016 AD 
Added Date : Tuesday, June 7, 2016 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
لمياء بكر باضريسBadhurays, Lamyaa BakorResearcherMaster 

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 39201.pdf pdf 

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