الفهرس 
IntroductionOnly 14 pages are availabe for public view
 |  | from | 130 |  |  |
| | | from | 130 | | |
Abstract
Abstract
Fuzzy Linear Programming (FLP) handles vague and imprecise
information but not always efficiently. However, the concept of
neutrosophic set theory which is presented by smarandache handles
vague, imprecise information more efficiently.
In this thesis, the comparison between the fuzzy approach and
neutrosophic approach is proposed.
Five contributions are proposed in this thesis. The first contribution is
proposing a new neutrosophic exterior point simplex algorithm NEPSA.
It has two ways to get optimal solutions. One way consists of non feasible
solutions but the other way has feasible solutions. The second
contribution is proposing a dual version of cosine simplex algorithm
(DCA) for solving linear programming problems with fuzzy &
neutrosophic numbers. The third contribution is proposing a new
algorithm which solves linear programming problems with fuzzy
numbers (Fuzzy Cosine Simplex Algorithm (FCSA)). We develop this
algorithm in order to solve linear programming with neutrosophic
numbers (Neutrosophic Cosine Simplex Algorithm (NCSA)). The fourth
contribution is proposing a novel approach which transfers the fuzzy
numbers representation to corresponding neutrosophic number
representation. The fifth and last contribution is proposing a general
framework to solve neutrosophic linear programming problems by
combining the contributions of Abdel-Basset et.al [3] and Singh et.al [72]
to transfer neutrosophic numbers to crisp numbers.