Maher Ali Nawkhass

@su.edu.krd

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

Maher Ali Nawkhass


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https://researchid.co/nawkhass
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
4

Scopus Publications

128

Scholar Citations

6

Scholar h-index

3

Scholar i10-index

Scopus Publications

  • Revised Harmonious Fuzzy Technique for Solving Fully Fuzzy Multi-Objective Linear Fractional Programming Problems
    Maher A. Nawkhass
    Zanco Journal of Pure and Applied Sciences, 2025
    The revised harmonious fuzzy technique (RHFT) is a method used to solve fuzzy optimization problems. It was capitalized as an extension of the classical linear programming technique to handle constraints and objectives that are fuzzy. The harmonious fuzzy technique HFT aims to find a solution that satisfies the uncertain restraints and optimizes the uncertain objectives while taking into account the uncertainty or fuzziness of the problem parameters. This work demonstrates how the RHFT can be utilized to dexterously solve “fully fuzzy multi-goal linear fractional programming (FFMOLFP) problems”. Initially, the FFMOLFP problem can be converted to “single goal linear fractional programming (SOLFP) problems” consuming the modified brittle linear technique. Second, the RHFT is applied to converted brittle problems into linear programming problem, which follow, “the single-goal problem” is made on so on applied the revised harmonious fuzzy for apiece level. at the end, the obtained LPP will be solved by applied the simplex algorithm. To illustrate the application of this method, two examples will be provided. Also, the numerical results are simulated by comparing between proposed method and efficient ranking function methods for fully fuzzy linear fractional programming problems FFLFPP
  • Using Geometric Arithmetic Mean to Solve Non-linear Fractional Programming Problems
    Maher A. Nawkhass, Nejmaddin A. Sulaiman
    International Journal of Applied and Computational Mathematics, 2022
  • Modify Symmetric Fuzzy Approach to Solve the Multi-objective Linear Fractional Programming Problem
    Maher Ali Nawkhass, Nejmaddin Ali Sulaiman
    International Journal of Fuzzy System Applications, 2022
    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, Maher A. Nawkhass
    Applied Mathematical Sciences, 2013
    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

  • Efficient Fuzzy Solutions for Linear Fractional Programming Problems: Using Pentagonal Fuzzy Numbers and the Decomposition Method
    R Mustafa, M Nawkhass
    ASJ-Academic Science Journal 4 (2), 51-57 , 2026
    2026
  • A Novel Ranking Approach for Solving Fully Fuzzy Linear Fractional Programming Problem via Pentagonal Fuzzy Number
    MA Nawkhass
    Boletim da Sociedade Paranaense de Matemática 44 (11), 1-12 , 2026
    2026
  • Revised Harmonious Fuzzy Technique for Solving Fully Fuzzy Multi-Objective Linear Fractional Programming Problems
    MA Nawkhass
    Zanco Journal of Pure and Applied Sciences 37 (2), 53-65 , 2025
    2025
  • Optimizing of Fuzzy Fractional Programming Problems
    MA Nawkhass
    Ph.D. thesis Mathematics Department , College of Education, Salahaddin … , 2023
    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
    2022
    Citations: 3
  • 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
    2022
    Citations: 7
  • 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
    2022
    Citations: 6
  • Modify Symmetric Fuzzy Approach to Solve the Multi-Objective Linear Fractional Programming Problem
    MA Nawkhass, NA Sulaiman
    International Journal of Fuzzy System Applications 11 (1) , 2022
    2022
    Citations: 5
  • استخدام المنهج الرياضي في اثبات الاعجاز القراني ‎
    M Nawkhass
    Cihan University-Erbil , 2018
    2018
  • FINDING THE REVENUE AVERAGE BY USING LINEAR PROGRAMMING PROBLEMS (CASE STUDY OF TAQ TAQ BLOCK FACTORY)
    M Nawkhass
    ICNS Proceding , 2017
    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
    2017
    Citations: 18
  • 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
    2016
    Citations: 4
  • 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
    2016
    Citations: 2
  • Using Short-Hierarchical Method to Solve Multi-Objective Linear Fractional Programming Problems
    NA Sulaiman, MA Nawkhass
    2nd Scientific Conference of Garmian University 3 , 2015
    2015
    Citations: 7
  • On Solving Quadratic Fractional Programming Problems
    MA Nawkhass
    M. Sc. Thesis, Salahaddin university Erbil Iraq , 2014
    2014
    Citations: 3
  • 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 …
    NA Suleiman, MA Nawkhass
    Applied Mathematical Sciences 7 (76), 3749-3764 , 2013
    2013
    Citations: 22
  • Solving Quadratic Fractional Programming Problem
    MAN Nejmaddin A Suleiman
    International Journal of Applied Mathematical Research 2 (2), 303-309 , 2013
    2013
    Citations: 7
  • 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
    2013
    Citations: 2
  • 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
    2013
    Citations: 42

MOST CITED SCHOLAR PUBLICATIONS

  • 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
    2013
    Citations: 42
  • 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 …
    NA Suleiman, MA Nawkhass
    Applied Mathematical Sciences 7 (76), 3749-3764 , 2013
    2013
    Citations: 22
  • 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
    2017
    Citations: 18
  • 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
    2022
    Citations: 7
  • Using Short-Hierarchical Method to Solve Multi-Objective Linear Fractional Programming Problems
    NA Sulaiman, MA Nawkhass
    2nd Scientific Conference of Garmian University 3 , 2015
    2015
    Citations: 7
  • Solving Quadratic Fractional Programming Problem
    MAN Nejmaddin A Suleiman
    International Journal of Applied Mathematical Research 2 (2), 303-309 , 2013
    2013
    Citations: 7
  • 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
    2022
    Citations: 6
  • Modify Symmetric Fuzzy Approach to Solve the Multi-Objective Linear Fractional Programming Problem
    MA Nawkhass, NA Sulaiman
    International Journal of Fuzzy System Applications 11 (1) , 2022
    2022
    Citations: 5
  • 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
    2016
    Citations: 4
  • 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
    2022
    Citations: 3
  • On Solving Quadratic Fractional Programming Problems
    MA Nawkhass
    M. Sc. Thesis, Salahaddin university Erbil Iraq , 2014
    2014
    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
    2016
    Citations: 2
  • 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
    2013
    Citations: 2
  • Efficient Fuzzy Solutions for Linear Fractional Programming Problems: Using Pentagonal Fuzzy Numbers and the Decomposition Method
    R Mustafa, M Nawkhass
    ASJ-Academic Science Journal 4 (2), 51-57 , 2026
    2026
  • A Novel Ranking Approach for Solving Fully Fuzzy Linear Fractional Programming Problem via Pentagonal Fuzzy Number
    MA Nawkhass
    Boletim da Sociedade Paranaense de Matemática 44 (11), 1-12 , 2026
    2026
  • Revised Harmonious Fuzzy Technique for Solving Fully Fuzzy Multi-Objective Linear Fractional Programming Problems
    MA Nawkhass
    Zanco Journal of Pure and Applied Sciences 37 (2), 53-65 , 2025
    2025
  • Optimizing of Fuzzy Fractional Programming Problems
    MA Nawkhass
    Ph.D. thesis Mathematics Department , College of Education, Salahaddin … , 2023
    2023
  • استخدام المنهج الرياضي في اثبات الاعجاز القراني ‎
    M Nawkhass
    Cihan University-Erbil , 2018
    2018
  • FINDING THE REVENUE AVERAGE BY USING LINEAR PROGRAMMING PROBLEMS (CASE STUDY OF TAQ TAQ BLOCK FACTORY)
    M Nawkhass
    ICNS Proceding , 2017
    2017

Publications

Revised Harmonious Fuzzy Technique for Solving Fully Fuzzy Multi-Objective Linear Fractional Programming Problems