Mathematics

Academic Staff

June 13, 2026, 4:33 p.m.
Zanyar A. Ameen
Zanyar A. Ameen (PhD)
Professor - PhD, MSc
Professor in Measure Theory, Generalized Topology, Fuzzy Extension Theory, Decision Making Under Uncertainty

Mathematics
College of Science
University of Duhok
[email protected]
ORCID
Google Scholar

  • PhD Degree, Pure Mathematics, Measure Theory and Related Areas, University of East Anglia (UEA), England, UK, 2015.
  • Master Degree, Pure Mathematics, General Topology, University of Duhok (UoD), 2009
  • Bachelor Degree, Mathematics, University of Duhok (UoD), 2006

Undergraduate:

  • Calculus, Mathematics I: 1st Year Student.
  • Programming: 1st Year Student.
  • Advanced Calculus, Topology of Real Numbers: 2nd Year Student.
  • Numerical Analysis: 3rd Year Student.

Postgraduate:

  • Research Methodology: Master.
  • Advanced Topology: Master.
  • Advanced Mathematical Analysis: Master.
  • Measure Theory: Master.
  • Selected Topics in Topology: PhD.

Research

  1. Ameen ZA. A new class of semi-open sets in topological spaces. Master’s thesis, College of Science, Duhok University. Published online 2009.
  2. Khalaf AB, Ameen Z. sc-open sets and sc-continuity in topological spaces. Journal of Advanced Research in Pure Mathematics. 2010;2(3):87-101.
  3. Ameen ZA. Contra-sc-continuous functions. Journal of University of Duhok. 2010;13(1):17-21.
  4. Ameen ZA. pc-open sets and pc-continuity in topological spaces. Journal of Advanced Research in Pure Mathematics. 2011;3(1):123-134.
  5. Ameen ZA, Asaad BA. Some new separation axioms (ps). Journal of University of Duhok. 2011;14(1):160-164.
  6. Ameen ZA, Muhammed RA. Some new separation axioms (sc). Journal of the University of Duhok, 14(1):156–159, 2011.
  7. Ameen ZA. Almost sc-continuous functions. Journal of University of Duhok. 2012, 15(2): 45-50.
  8. Ameen ZA. On types of generalized closed sets. Journal of Taibah University for Science. 2018;12(3):290-293.
  9. Asaad BA, Ameen ZA. Applications of an operation approaches on sc-open sets. International Journal of Pure and Applied Mathematics. 2018;118(2):429-449.
  10. Ameen ZA, Džamonja M. Finitely additive measures on topological spaces and Boolean algebras, University of East Anglia, UK, 2015. Supervised by Mirna Džamonja. Bulletin of Symbolic Logic. 2018;24(2):199-200.
  11. Ameen ZA. Some results on the existence of residual measures. Journal of Duhok University. 2018;21(1):111-114.
  12. Ameen ZA. On Jordan algebras. General Letters in Mathematics. 2019;5(2):105-110.
  13. Asaad BA, Ameen ZA. Some properties of an operation on gα-open sets. New Trends in Mathematical Sciences. 2019;7(2):150-158.
  14. Ameen ZA, Asaad BA. A note on some unified types of open and locally closed sets. General Letters in Mathematics. 2019;4(3):102-110.
  15. Ameen ZA, Asaad BA, Muhammed RA. On superclasses of -open sets in topological spaces. International Journal of Applied Mathematics. 2019;32(2):259.
  16. Ameen ZA. Almost somewhat near continuity and near regularity. Moroccan Journal of Pure and Applied Analysis. 2020;7(1):88-99.
  17. Ameen ZA. On several classes of contra continuity. Malaya Journal of Matematik. 2021;9(1):506-514.
  18. Ameen ZA. A note on some forms of continuity. Divulgaciones Matematicas. 2021;22(1):52-63.
  19. Sulaiman AS, Asaad BA, Ameen ZA. On certain types of convergence and γ-continuity. J Math Comput Sci. 2021;11(1):1029-1038.
  20. Ameen ZA. On somewhat near continuity and some applications. Selecciones Matemáticas. 2021;8(2):360-369.
  21. Murad SA, Ameen ZA. Existence and Ulam stability for fractional differential equations of mixed Caputo-Riemann derivatives. AIMS Mathematics. 2022;7(4):6404-6419.
  22. Ameen ZA. A non-continuous soft mapping that preserves some structural soft sets. Journal of Intelligent & Fuzzy Systems. 2022;42(6):5839-5845.
  23. Al Ghour S, Ameen ZA. Maximal soft compact and maximal soft connected topologies. Applied Computational Intelligence and soft computing. 2022;2022(1):9860015.
  24. Ameen ZA, Khalaf AB. The invariance of soft Baire spaces under soft weak functions. Journal of Interdisciplinary Mathematics. 2022;25(5):1295-1306.
  25. Ameen ZA, Al-shami TM, Azzam AA, Mhemdi A. A novel fuzzy structure: Infra-fuzzy topological spaces. Journal of Function Spaces. 2022;2022(1):9778069.
  26. Azzam AA, Ameen ZA, Al-shami TM, El-Shafei ME. Generating soft topologies via soft set operators. Symmetry. 2022;14(5):914.
  27. Al-shami TM, Ameen ZA, Azzam AA, El-Shafei ME. Soft separation axioms via soft topological operators. AIMS Mathematics. 2022;7(8):15107-15119.
  28. Ameen ZA, Al-shami TM, Mhemdi A, El-Shafei ME. The role of soft θ-topological operators in characterizing various soft separation axioms. Journal of Mathematics. 2022;2022.
  29. Tanha ZA, Ameen ZA. Weakly r-supercontinuous functions. General Letters in Mathematics. 2022;12(3):116-125.
  30. Ameen ZA, Al Ghour S. Extensions of soft topologies. Filomat. 2022;36(15):5279-5287.
  31. Ameen ZA, Al Ghour S. Minimal soft topologies. New Mathematics and Natural Computation. 2023;19(1):19-31.
  32. Al-shami TM, Ameen ZA, Asaad BA. Soft bi-continuity and related soft functions. Journal of Mathematics and Computer Science. 2023;30(1):19-29.
  33. Al-shami TM, Ameen ZA, Abu-Gdairi R, Mhemdi A. Continuity and separation axioms via infra-topological spaces. Journal of Mathematics and Computer Science. 2023;30(3):213-225.
  34. Ameen ZA. A correction on “Some remarks on fuzzy infi-topological spaces”. Proyecciones (Antofagasta). 2023;42(1):85-90.
  35. Asaad BA, Al-shami TM, Ameen ZA. On soft somewhere dense open functions and soft Baire spaces. Iraqi Journal of Science. 2023;64(1):373-384.
  36. Ameen ZA, Asaad BA, Al-shami TM. Soft somewhat continuous and soft somewhat open functions. TWMS Journal of Applied and Engineering Mathematics. 2023;13(2):792-806.
  37. Al-shami TM, Ameen ZA, Mhemdi A. The connection between ordinary and soft σ-algebras with applications to information structures. AIMS Mathematics. 2023;8(6):14850-14866.
  38. Ameen ZA, Al-shami TM, Abu-Gdairi R, Mhemdi A. The relationship between ordinary and soft algebras with an application. Mathematics. 2023;11(9):2035.
  39. Ameen ZA. A note on somewhat fuzzy continuity. Journal of Fuzzy Extension & Applications. 2023;4(1):60-64.
  40. Al-shami TM, Ameen ZA, Abu-Gdairi R, Mhemdi A. On primal soft topology. Mathematics. 2023;11(10):2329.
  41. Ameen ZA, Abu Gadiri R, Al-shami TM, Asaad BA, Arar M. Further properties of soft somewhere dense continuous functions and soft Baire spaces. Journal of Mathematics and Computer Science. 2023;32(1):54-63.
  42. Al-shami TM, Arar M, Abu-Gdairi R, Ameen ZA. On weakly soft β-open sets and weakly soft β-continuity. Journal of Intelligent & Fuzzy Systems. 2023;45(4):6351-6363.
  43. Ameen ZA, Alqahtani MH. Baire category soft sets and their symmetric local properties. Symmetry. 2023;15(10):1810.
  44. Ameen ZA, Alqahtani MH. Some classes of soft functions defined by soft open sets modulo soft sets of the first category. Mathematics. 2023;11(20):4368.
  45. Ameen ZA, Alqahtani MH. Congruence representations via soft ideals in soft topological spaces. Axioms. 2023;12(11):1015.
  46. Ameen ZA, Al Ghour S. Cluster soft sets and cluster soft topologies. Computational and Applied Mathematics. 2023;42(8):337.
  47. Ameen ZA, Mohammed RA, Al-shami TM, Asaad BA. Novel fuzzy topologies formed by fuzzy primal frameworks. Journal of Intelligent & Fuzzy Systems. 2023;48(3,1):131-140.
  48. Abdulkareem HD, Mohammed RA, Ameen ZA. Connectedness of soft r-topological spaces. New Mathematics and Natural Computation. 2024;20(1):27-43.
  49. Alqahtani MH, Ameen ZA. Soft nodec spaces. AIMS Math. 2024;9(2):3289-3302.
  50. Ameen ZA, Alghamdi OF, Asaad BA, Mohammed RA. Methods of generating soft topologies and soft separation axioms. European Journal of Pure and Applied Mathematics. 2024;17(2):1168-1182.
  51. Asaad BA, Musa SY, Ameen ZA. Fuzzy bipolar hypersoft sets: a novel approach for decision-making applications. Mathematical and Computational Applications. 2024;29(4):50.
  52. Ameen ZA, Alqahtani MH, Alghamdi OF. Lower density soft operators and density soft topologies. Heliyon. 2024;10(15):e35280.
  53. Alqahtani MH, Alghamdi OF, Ameen ZA. Nodecness of soft generalized topological spaces. International Journal of Analysis and Applications. 2024; 22:149-149.
  54. Alqahtani MH, Al-Saadi H, Alluqmani E, Ameen ZA. Pseudo-normality and pseudo-tychonoffness of topological groups. Mathematics. 2024;13(1):30.
  55. M Salih HF, Ameen ZA, Asaad BA. Bipolar-valued picture hesitant fuzzy sets and their application in multi-criteria decision-making problems. Available at SSRN 5120166. Published online 2024.
  56. Alghamdi OF, Alqahtani MH, Ameen ZA. On soft submaximal and soft door spaces. Contemporary Mathematics. 2025;6(1):663-675.
  57. Musa SY, Alajlan AI, Asaad BA, Ameen ZA. N-bipolar soft expert sets and their applications in robust multi-attribute group decision-making. Mathematics. 2025;13(3):530.
  58. Ameen ZA, Alghamdi OF. Soft topologies induced by almost lower density soft operators. Engineering Letters. 2025;33(3):712-720.
  59. Ameen ZA, M Salih HF, Alajlan AI, Mohammed RA, Asaad BA. Enhanced MCDM based on the TOPSIS technique and aggregation operators under the bipolar pqr-spherical fuzzy environment: An application in firm supplier selection. Applied Sciences. 2025;15(7):3597.
  60. Musa SY, Asaad BA, Alohali H, Ameen ZA, Alqahtani MH. Fuzzy N-bipolar soft sets for multi-criteria decision-making: theory and application. Computer Modeling in Engineering & Sciences. 2025;143(1):911-943.
  61. Ameen ZA, Salih HFM, Alagal W, Asaad BA. q‐Fractional Hesitant Fuzzy Multicriteria Decision‐Making Approaches for Uncertain Power System Performance Evaluation, Energy Science & Engineering. 2025;12 (11):5311–5337.
  62. Saeed MM, Musa SY, Asaad BA, Ameen ZA. Pythagorean fuzzy N-bipolar soft sets-based multi-criteria decision-making framework for sustainability evaluation and risk assessment in manufacturing industries. Scientific Reports. 2025;15 (1):29648.
  63. Ameen ZA, Alghamdi OF. Soft structural Oxtoby–Rose operators and their generated topologies. AIMS Mathematics. 2025;10 (9):20825-20842.
  64. Musa SY, Ameen ZA, Alagal W, Asaad BA. Urban Transportation Strategy Selection for Multi-Criteria Group Decision-Making Using Pythagorean Fuzzy N-Bipolar Soft Expert Sets. Computer Modeling in Engineering & Sciences. 2025;144 (3): 3493—3529.
  65. Ameen ZA, Kočinac LDR, Alharbi B. Marczewski-Burstin Representation of Soft Algebras. Contemporary Mathematics. 2025; 6 (6): 8177—8188.

  • Measure Theory
  • General Topology,
  • Soft Topology,
  • Fuzzy Topology,
  • Extended Fuzzy Sets,
  • Fuzzy Decision-Making Theory

Master Students:

  • Amad Shafiq Sulaiman (University of Zakho, College of Science, 2021)
  • Zahra Abdullah Tanha (University of Duhok, College of Science, 2023)
  • Harzheen Duski Abdullkareem (University of Duhok, College of Basic Education, 2023)

PhD Student:

  • Hariwan Fadhil M.Salih (University of Duhok, College of Science, current)
  • Honer N. Abdullah (University of Duhok, College of Basic Education, current)