Document Details

Document Type : Thesis 
Document Title :
ROUGH FUZZY SETS BASED ON ALGEBRAIC STRUCTURE
تطبيق مفهوم المجموعات الفازية التقريبية على بنية جبرية
 
Subject : faculty of science 
Document Language : Arabic 
Abstract : This dissertation is a comprehensive study of multi Q-hesitant fuzzy soft rough sets, multi Q-dual hesitant fuzzy soft rough sets, and single-valued neutrosophic hesitant fuzzy rough sets and investigates their properties. In Chapter 1, we provided the previous concepts of hesitant fuzzy sets, soft sets, hesitant fuzzy soft sets, dual hesitant fuzzy soft sets, and single-valued neutrosophic hesitant fuzzy sets. In Chapter 2, we introduced the concepts of multi Q-hesitant fuzzy soft sets, multi Q-hesitant fuzzy soft rough sets and multi Q-hesitant fuzzy soft multi-granulation rough sets. Also, we presented some of related properties. Finally, we developed a general framework for dealing with uncertainty decision-making by using the multi Q-hesitant fuzzy soft multi-granulation rough sets. In Chapter 3, we presented the notion of multi Q-dual hesitant fuzzy soft sets and discussed some properties. We introduced a rough set model based on multi Q-dual hesitant fuzzy soft relation and examined some properties of this model. Moreover, we established a general approach to decision-making based on multi Q-dual hesitant fuzzy soft rough sets and illustrated the principal steps of the proposed decision method by a numerical example. In Chapter 4, we introduced the notion of single valued neutrosophic hesitant fuzzy rough sets and we presented the concepts of single valued neutrosophic hesitant fuzzy relation and single valued neutrosophic hesitant fuzzy rough sets
and discuss some of it’s properties. Therefore, we developed a general framework
for dealing with uncertainty in decision-making by using the single-valued neutrosophic hesitant fuzzy rough sets. 
Supervisor : Prof. Noura Alshehri 
Thesis Type : Doctorate Thesis 
Publishing Year : 1441 AH
2020 AD 
Added Date : Tuesday, February 11, 2020 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
خلود محمد الصقرAlsager, Khoolod MohammedResearcherDoctorate 

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