Maher Ali Nawkhass

@su.edu.krd

Mathematics Department , College of Education, Salahaddin University-Erbil
Salahaddin University-Erbil

Dr. Maher Ali Nawkhass is a lecturer in the Mathematics Department at Salahaddin University in Erbil, Iraq. He holds a Ph.D. in Optimization – Applied Mathematics, focusing on solving complex mathematical problems across various fields. His research interests lie in the realm of fractional programming, where he develops innovative approaches to tackle multi-objective problems and optimize solutions.

Dr. Nawkhass is an experienced educator with a diverse teaching background, encompassing calculus, numerical analysis, and computer skills. His work has been recognized through publications in international journals like the International Journal of Nonlinear Analysis and Applications and the International Journal of Fuzzy System Applications. He is dedicated to fostering a deeper understanding of mathematics and its applications within the academic community.

EDUCATION

Education:
- 2020 – until now (Ph.D. student)
- 2012-2014: (M.Sc. in Optimization). Department of Mathematics, College of Education, Salahaddin University - Kurdistan Region - IRAQ.
- 2004-2008: (B.Sc. in Mathematics). Department of Mathematics, College of Education, Salahaddin University - Kurdistan Region - IRAQ.

RESEARCH, TEACHING, or OTHER INTERESTS

Applied Mathematics, Control and Optimization, Computational Mathematics, Mathematics

Scopus Publications

107

Scholar Citations

Scholar h-index

Scholar i10-index

Scopus Publications

Using Geometric Arithmetic Mean to Solve Non-linear Fractional Programming Problems
Maher A. Nawkhass and Nejmaddin A. Sulaiman
Springer Science and Business Media LLC

Modify Symmetric Fuzzy Approach to Solve the Multi-objective Linear Fractional Programming Problem
Maher Ali Nawkhass and Nejmaddin Ali Sulaiman
IGI Global
The property of fuzzy sets is approached as an instrument for the construction and finding of the value of the multi-objective linear fractional programming problem (MOLFPP), which is one of the systems of decision problems that are covered by fuzzy dealings. The paper introduces an approach to convert and solve such a problem by modifying the symmetric fuzzy approach, suggesting an algorithm, and demonstrating how the fuzzy linear fractional programming problem (FLFPP) can be answered without raising the arithmetic potency. Also, it introduces a technique that uses an optimal mean to convert MOLFPP to a single LFPP by modifying the symmetric fuzzy approach. A numeric sample is provided to clarify the qualification of the suggested approach and compare the results with other techniques, which are solved by using a computer application to test the algorithm of the above method, indicating that the results obtained by the fuzzy environment are promising.

A new modified simplex method to solve quadratic fractional programming problem and compared it to a traditional simplex method by using pseudoaffinity of quadratic fractional functions
Nejmaddin A. Suleiman and Maher A. Nawkhass
Hikari, Ltd.
In this paper, we defined a new modified simplex method to solve quadratic fractional programming problem (QFPP) and suggested an algorithm for it. The algorithm of usual simplex method is also reported. The special case for this problem was solved by Converting objective function to pseudoaffinity of quadratic fractional functions (PQFF) to a linear programming problem to be solved by simplex method. Then the result is compared with a result, which obtained by new modified simplex method. These methods demonstrated by numerical examples. This work confirms that our techniques is valid and can be used to solve this particular type of QFPP.

RECENT SCHOLAR PUBLICATIONS

Optimizing of Fuzzy Fractional Programming Problems
MA Nawkhass
Ph.D. thesis Mathematics Department , College of Education, Salahaddin 2023

A New Approach to Solve Fuzzy Linear Fractional Programming Problems via Rank Function of Trapezoidal Fuzzy Numbers
MA Nawkhass, NA Sulaiman
2023

Solving of the Quadratic Fractional programming problem by Modified Symmetric Fuzzy Approach
NAS Maher A Nawkhass
Ibn Al-Haitham Journal for pure and Applied Science 35 (4), 241-245 2022

Using Geometric Arithmetic Mean to Solve Non-linear Fractional Programming Problems
NA Suleiman, MA Nawkhass
International Journal of Applied and Computational Mathematics 8 (5), 1-16 2022

Symmetric fuzzy approach to solve complementary multi-objective linear fractional programming problem
NA Suleiman, MA Nawkhass
International Journal of Nonlinear Analysis and Applications 14 (1), 1-6 2022

Modify Symmetric Fuzzy Approach to Solve the Multi-Objective Linear Fractional Programming Problem
MA Nawkhass, NA Sulaiman
International Journal of Fuzzy System Applications (IJFSA) 11 (1), 1-17 2022

استخدام المنهج الرياضي في اثبات الاعجاز القراني
M Nawkhass
Cihan University-Erbil 2018

FINDING THE REVENUE AVERAGE BY USING LINEAR PROGRAMMING PROBLEMS (CASE STUDY OF TAQ TAQ BLOCK FACTORY)
M Nawkhass
ICNS Proceding 2017

Transformed and Solving Multi-Objective Linear Programming Problems to Single-Objective by Using Correlation Technique
MA Nawkhass
Cihan International Journal of Social Science 1 (1), 30 2017

Using Standard Division to Solve Multi-Objective Quadratic Fractional Programming Problems
N Sulaiman, M Nawkhas
Journal of Zankoy Sulaimani-Part A 18 (3), 157-164 2016

Using standard division to solve multi-objective quadratic fractional programming problems
NA Suleiman, MA Nawkhass
J. Zankoy Sulaimani Part-A-(JZS-A) 18 (3), 8 2016

Using Short-Hierarchical Method to Solve Multi-Objective Linear Fractional Programming Problems
NA Sulaiman, MA Nawkhass
2nd Scientific Conference of Garmian University 3 2015

On Solving Quadratic Fractional Programming Problems
MA Nawkhass
M. Sc. Thesis, Salahaddin university Erbil Iraq 2014

Solving Quadratic Fractional Programming Problem
MAN Nejmaddin A Suleiman
International Journal of Applied Mathematical Research 2 (2), 303-309 2013

A new modified simplex method and compared it to a traditional simplex method by using pseudoaffinity of quadratic fractional function
NA Sulaiman, A Nawkhass Maher
Applied Mathematical Sciences 7 (76), 3749-3764 2013

Transforming and solving multi-objective quadratic fractional programming problems by optimal average of maximin & minimax techniques
NA Suleiman, MA Nawkhass
American Journal of Operational Research 3 (3), 92-98 2013

MOST CITED SCHOLAR PUBLICATIONS

Solving Quadratic Fractional Programming Problem
MAN Nejmaddin A Suleiman
International Journal of Applied Mathematical Research 2 (2), 303-309 2013
Citations: 26

Transformed and Solving Multi-Objective Linear Programming Problems to Single-Objective by Using Correlation Technique
MA Nawkhass
Cihan International Journal of Social Science 1 (1), 30 2017
Citations: 8

Using Short-Hierarchical Method to Solve Multi-Objective Linear Fractional Programming Problems
NA Sulaiman, MA Nawkhass
2nd Scientific Conference of Garmian University 3 2015
Citations: 7

Solving of the Quadratic Fractional programming problem by Modified Symmetric Fuzzy Approach
NAS Maher A Nawkhass
Ibn Al-Haitham Journal for pure and Applied Science 35 (4), 241-245 2022
Citations: 4

Using Standard Division to Solve Multi-Objective Quadratic Fractional Programming Problems
N Sulaiman, M Nawkhas
Journal of Zankoy Sulaimani-Part A 18 (3), 157-164 2016
Citations: 4

Using Geometric Arithmetic Mean to Solve Non-linear Fractional Programming Problems
NA Suleiman, MA Nawkhass
International Journal of Applied and Computational Mathematics 8 (5), 1-16 2022
Citations: 3

Using standard division to solve multi-objective quadratic fractional programming problems
NA Suleiman, MA Nawkhass
J. Zankoy Sulaimani Part-A-(JZS-A) 18 (3), 8 2016
Citations: 2