Publications

Research Articles 

2026

1. Y. He, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Pseudoinversion Through an Innovative Noise-Resilient Neutrosophic Logic Activated Zeroing Neural Network: Application to Mobile Object Localization", IEEE Transactions on Fuzzy Systems, 1-12 (2026)

2. R.T. Alqahtani, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Handling Uncertainty in Portfolio Optimization: A Neutrosophic Logic Adaptive Neural Network Solver for Quadratic Programming", Neural Networks, 202, 109026 (2026)

3. I. Alolyan, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Pseudoinversion through an Innovative Finite-time Neutrosophic Logic activated Zeroing Neural Network: Applications to Robotic Motion Tracking", Journal of Computational and Applied Mathematics, 486, 117695 (2026)

4. S.D. Mourtas, "Dynamic portfolio optimization under uncertainty: A penalty-function-based neural solver", Applied Mathematics and Computation, 526, 130086 (2026)

5. H. Jerbi, A. Alateeq, R. Abbassi, M. Kchaou, T.E. Simos, S.D. Mourtas, O.V. Giannakopoulos, V.N. Katsikis, "Inflation Rate Prediction Using a Power-Activation Neural Network With Weight and Structure Determination", Mathematical Methods in the Applied Sciences, 49(11), 11619-11642 (2026)

6. H. Jerbi, S.B. Aoun, R. Abbassi, M. Kchaou, T.E. Simos, S.D. Mourtas, S. Li, X. Cao, V.N. Katsikis, "An innovative neutrosophic logic adaptive high-order zeroing neural network for solving linear matrix equations: Applications to acoustic source tracking", Journal of Computational and Applied Mathematics, 475, 117058 (2026)

2025

7. Y. He, X. Wang, Y. Tie, H. Yang, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Solving Lur'e equations through zeroing neural networks", Information Sciences, 718, 122418 (2025)

8. S.D. Mourtas, S. Li, X. Cao, B. Liao, V.N. Katsikis, "Current Trends and Challenges in Applying Metaheuristics to the Innovative Area of Weight and Structure Determination Neuronets", Inventions, 10(4), 62 (2025)

9. P.S. Stanimirović, S.D. Mourtas, D. Mosić, V.N. Katsikis, X. Cao, S. Li, "A Zeroing Neural Network Approach for Calculating Time-Varying G-Outer Inverse of Arbitrary Matrix”, IEEE Transactions on Neural Networks and Learning Systems, 36(5), 8843-8852 (2025)

2024

10. P.S. Stanimirović, S.D. Mourtas, D. Mosić, V.N. Katsikis, X. Cao, S. Li, "Zeroing neural network approaches for computing time-varying minimal rank outer inverse", Applied Mathematics and Computation, 465, 128412 (2024)

11. P.S. Stanimirović, M. Ćirić, S.D. Mourtas, G.V. Milovanović, M.J. Petrović, "Simultaneous Method for Solving Certain Systems of Matrix Equations with Two Unknowns”, Axioms, 13(12), 838 (2024)

12. P.S. Stanimirović, M. Ćirić, S.D. Mourtas, P. Brzaković, D. Karabašević, "Simulations and Bisimulations between Weighted Finite Automata Based on Time-Varying Models over Real Numbers”, Mathematics, 12(13), 2110 (2024)

13. S.D. Mourtas, V.N. Katsikis, P.S. Stanimirović, L.A. Kazakovtsev, ”Credit and Loan Approval Classification Using a Bio-Inspired Neural Network”, Biomimetics, 9(2), 120 (2024)

14. H. Jerbi, I. Al-Darraji, S. Albadran, S.B. Aoun, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Solving quaternion nonsymmetric algebraic Riccati equations through zeroing neural networks", AIMS Mathematics, 9(3), 5794-5809 (2024)

15. Y. He, X. Dong, T.E. Simos, S.D. Mourtas, V.N. Katsikis, D. Lagios, P. Zervas, G. Tzimas, "A bio-inspired weights and structure determination neural network for multiclass classification: Applications in occupational classification systems", AIMS Mathematics, 9(1), 2411-2434 (2024)

16. H. Jerbi, O. Alshammari, S.B. Aoun, M. Kchaou, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Hermitian Solutions of the Quaternion Algebraic Riccati Equations through Zeroing Neural Networks with Application to Quadrotor Control", Mathematics, 12(1), 15 (2024)

2023

17. T.E. Simos, V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, "Solving Time-Varying Nonsymmetric Algebraic Riccati Equations With Zeroing Neural Dynamics", IEEE Transactions on Systems, Man, and Cybernetics: Systems, 53(10), 6575-6587 (2023)

18. V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, S. Li, X. Cao, "Time-varying minimum-cost portfolio insurance problem via an adaptive fuzzy-power LVI-PDNN", Applied Mathematics and Computation, 441, 127700 (2023)

19. S.B. Aoun, N. Derbel, H. Jerbi, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "A quaternion Sylvester equation solver through noise-resilient zeroing neural networks with application to control the SFM chaotic system", AIMS Mathematics, 8(11), 27376-27395 (2023)

20. V.N. Kovalnogov, R.V. Fedorov, I.I. Shepelev, V.V. Sherkunov, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "A novel quaternion linear matrix equation solver through zeroing neural networks with applications to acoustic source tracking", AIMS Mathematics, 8(11), 25966-25989 (2023)

21. S.D. Mourtas, E. Drakonakis, Z. Bragoudakis, "Forecasting the gross domestic product using a weight direct determination neural network", AIMS Mathematics, 8(10), 24254-24273 (2023)

22. V.N. Kovalnogov, R.V. Fedorov, D.A. Demidov, M.A. Malyoshina, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Computing quaternion matrix pseudoinverse with zeroing neural networks", AIMS Mathematics, 8(10), 22875-22895 (2023)

23. R. Abbassi, H. Jerbi, M. Kchaou, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Towards Higher-Order Zeroing Neural Networks for Calculating Quaternion Matrix Inverse with Application to Robotic Motion Tracking", Mathematics, 11(12), 2756 (2023)

24. V.N. Kovalnogov, R.V. Fedorov, D.A. Demidov, M.A. Malyoshina, T.E. Simos, V.N. Katsikis, S.D. Mourtas, R.D. Sahas, "Zeroing neural networks for computing quaternion linear matrix equation with application to color restoration of images", AIMS Mathematics, 8(6), 14321-14339 (2023)

25. D. Mosić, P.S. Stanimirović, S.D. Mourtas, "Minimal Rank Properties of Outer Inverses with Prescribed Range and Null Space", Mathematics, 11(7), 1732 (2023)

26. H. Alharbi, O. Alshammari, H. Jerbi, T.E. Simos, V.N. Katsikis, S.D. Mourtas, R.D. Sahas, "A Fresnel Cosine Integral WASD Neural Network for the Classification of Employee Attrition", Mathematics, 11(6), 1506 (2023)

27. V.N. Katsikis, P.S. Stanimirović, S.D. Mourtas, L. Xiao, D. Stanujkic, D. Karabasevic, "Zeroing Neural Network Based on Neutrosophic Logic for Calculating Minimal-Norm Least-Squares Solutions to Time-Varying Linear Systems", Neural Processing Letters, 55, 8731-8753 (2023)

28. S.D. Mourtas, C. Kasimis, V.N. Katsikis, “Robust PID controllers tuning based on the beetle antennae search algorithm”, Memories - Materials, Devices, Circuits and Systems, 4, 100030 (2023)

29. D. Lagios, S.D. Mourtas, P. Zervas, G. Tzimas, "A Weights Direct Determination Neural Network for International Standard Classification of Occupations", Mathematics, 11(3), 629 (2023)

30. H. Alharbi, H. Jerbi, M. Kchaou, R. Abbassi, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Time-Varying Pseudoinversion Based on Full-Rank Decomposition and Zeroing Neural Networks", Mathematics, 11(3), 600 (2023)

31. P.S. Stanimirović, B. Ivanov, D. Stanujkić, V.N. Katsikis, S.D. Mourtas, L.A. Kazakovtsev, S.A. Edalatpanah, "Improvement of Unconstrained Optimization Methods Based on Symmetry Involved in Neutrosophy", Symmetry, 15(1), 250 (2023)

32. S.D. Mourtas, V.N. Katsikis, E. Drakonakis, S. Kotsios, "Stabilization of Stochastic Exchange Rate Dynamics under Central Bank Intervention using Neuronets", International Journal of Information Technology and Decision Making, 22(2), 855-883 (2023)

2022

33. V.N. Katsikis, P.S. Stanimirović, S.D. Mourtas, L. Xiao, D. Karabasević, D. Stanujkić, "Zeroing Neural Network with Fuzzy Parameter for Computing Pseudoinverse of Arbitrary Matrix”, IEEE Transactions on Fuzzy Systems 30(9), 3426-3435 (2022)

34. V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, Y. Zhang, "Solving Complex-Valued Time-Varying Linear Matrix Equations via QR Decomposition With Applications to Robotic Motion Tracking and on Angle-of-Arrival Localization", IEEE Transactions on Neural Networks and Learning Systems, 33(8), 3415-3424 (2022)

35. S.D. Mourtas, V.N. Katsikis, "Exploiting the Black-Litterman framework through error-correction neural networks", Neurocomputing, 498, 43-58 (2022)

36. T.E. Simos, V.N. Katsikis, S.D. Mourtas, "A multi-input with multi-function activated weights and structure determination neuronet for classification problems and applications in firm fraud and loan approval", Applied Soft Computing, 127, 109351 (2022)

37. S.D. Mourtas, "A Weights Direct Determination Neuronet for Time-Series with Applications in the Industrial Indices of the Federal Reserve Bank of St. Louis", Journal of Forecasting, 41(7), 1512-1524 (2022)

38. T.E. Simos, V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, "Unique non-negative definite solution of the time-varying algebraic Riccati equations with applications to stabilization of LTV systems", Mathematics and Computers in Simulation, 202, 164-180 (2022)

39. X. Li, C.-L. Lin, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Computation of Time-Varying {2,3}- and {2,4}-Inverses through Zeroing Neural Networks", Mathematics, 10(24), 4759 (2022)

40. H. Jerbi, H. Alharbi, M. Omri, L. Ladhar, T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Towards Higher-Order Zeroing Neural Network Dynamics for Solving Time-Varying Algebraic Riccati Equations", Mathematics, 10(23), 4490 (2022)

41. P.S. Stanimirović, S.D. Mourtas, V.N. Katsikis, L.A. Kazakovtsev, V.N. Krutikov, "Recurrent Neural Network Models Based on Optimization Methods", Mathematics, 10(22), 4292 (2022)

42. V.N. Kovalnogov, R.V. Fedorov, D.A. Generalov, A.V. Chukalin, V.N. Katsikis, S.D. Mourtas, T.E. Simos, "Portfolio Insurance through Error-Correction Neural Networks", Mathematics, 10(18), 3335 (2022)

43. S.D. Mourtas, C. Kasimis, "Exploiting Mean-Variance Portfolio Optimization Problems through Zeroing Neural Networks", Mathematics, 10(17), 3079 (2022)

44. W. Jiang, C.-L. Lin, V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, T.E. Simos, "Zeroing Neural Network Approaches Based on Direct and Indirect Methods for Solving the Yang–Baxter-like Matrix Equation", Mathematics, 10(11), 1950 (2022)

45. T.E. Simos, V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, "Finite-time Convergent Zeroing Neural Network for Solving Time-Varying Algebraic Riccati Equations", Journal of the Franklin Institute, 359(18), 10867-10883 (2022)

46. M. Kornilova, V. Kovalnogov, R. Fedorov, M. Zamaleev, V.N. Katsikis, S.D. Mourtas, T.E. Simos, "Zeroing Neural Network for Pseudoinversion of an Arbitrary Time-Varying Matrix Based on Singular Value Decomposition", Mathematics, 10(8), 1208 (2022)

47. T.E. Simos, V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, D. Gerontitis, "A Higher-Order Zeroing Neural Network for Pseudoinversion of an Arbitrary Time-Varying Matrix with Applications to Mobile Object Localization", Information Sciences, 600, 226-238 (2022)

48. S.D. Mourtas, V.N. Katsikis, C. Kasimis, “Feedback Control Systems Stabilization Using a Bio-inspired Neural Network", EAI Endorsed Transactions on AI and Robotics, 1, 1-13 (2022)

49. S.D. Mourtas, V.N. Katsikis, "V-Shaped BAS: Applications on Large Portfolios Selection Problem", Computational Economics, 60, 1353–1373 (2022)

2021

50. V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, S. Li, X. Cao, "Time-varying mean-variance portfolio selection problem solving via LVI-PDNN", Computers & Operations Research, 105582 (2021)

51. T.E. Simos, V.N. Katsikis, S.D. Mourtas, "Multi-input bio-inspired weights and structure determination neuronet with applications in European Central Bank publications", Mathematics and Computers in Simulation, 193, 451-465 (2021)

52. T.E. Simos, V.N. Katsikis, S.D. Mourtas, "A fuzzy WASD neuronet with application in breast cancer prediction", Neural Computing and Applications, 34, 3019–3031 (2021)

53. T.E. Simos, S.D. Mourtas, V.N. Katsikis, "Time-varying Black–Litterman portfolio optimization using a bio-inspired approach and neuronets", Applied Soft Computing, 112, 107767 (2021)

54. V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, Y. Zhang, "Continuous-Time Varying Complex QR Decomposition via Zeroing Neural Dynamics", Neural Processing Letters, 53, 3573–3590 (2021)

55. V.N. Katsikis, S.D. Mourtas, “Binary Beetle Antennae Search Algorithm for Tangency Portfolio Diversification”, Journal of Modeling and Optimization, 13(1), 44-50 (2021)

56. V.N. Katsikis, S.D. Mourtas, “Diversification of Time-Varying Tangency Portfolio under Nonlinear Constraints through Semi-Integer Beetle Antennae Search Algorithm”, AppliedMath, 1(1), 63-73 (2021)

57. V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, S. Li, X. Cao, “Time-Varying Mean-Variance Portfolio Selection under Transaction Costs and Cardinality Constraint Problem via Beetle Antennae Search Algorithm (BAS) ”, SN Operations Research Forum, 2(2), 18 (2021)

2020

58. M.A. Medvedeva, V.N. Katsikis, S.D. Mourtas, T.E. Simos, “Randomized time-varying knapsack problems via binary beetle antennae search algorithm: Emphasis on applications in portfolio insurance”, Mathematical Methods in the Applied Sciences, 44(2), 2002–2012 (2020)

59. V.N. Katsikis, S.D. Mourtas, "Optimal Portfolio Insurance under Nonlinear Transaction Costs", Journal of Modeling and Optimization, 12(2), 117-124 (2020)

60. V.N. Katsikis, S.D. Mourtas, P.S. Stanimirović, S. Li, X. Cao, "Time-varying minimum-cost portfolio insurance under transaction costs problem via Beetle Antennae Search Algorithm (BAS)", Applied Mathematics and Computation, 385, 125453 (2020)

2019

61. V.N. Katsikis, S.D. Mourtas, "ORPIT - a Matlab Toolbox for Option Replication and Portfolio Insurance in Incomplete Markets", Computational Economics, 56(4), 711-721 (2019)

62. V.N. Katsikis, S.D. Mourtas, "A heuristic process on the existence of positive bases with applications to minimum-cost portfolio insurance in C [a,b]", Applied Mathematics and Computation, 349, 221–244 (2019)

Book Chapters

1. V.N. Katsikis, S.D. Mourtas, R. Sahas, D. Balios, “A Weights Direct Determination Neural Network for Credit Card Attrition Analysis”. In: L.A. Maglaras, S. Das, N. Tripathy, S. Patnaik (Eds.) Machine Learning Approaches in Financial Analytics. Intelligent Systems Reference Library, Springer, Cham, vol. 254, 325–346 (2024)

2. V.N. Katsikis, P.S. Stanimirović, S.D. Mourtas, S. Li, X. Cao, “Towards Higher Order Dynamical Systems”. In: I. Kyrchei (Ed.) Generalized Inverses: Algorithms and Applications. Mathematics Research Developments, Nova Science Publishers, Inc., New York, USA, 207-239 (2021)

3. V.N. Katsikis, S.D. Mourtas, “Portfolio Insurance and Intelligent Algorithms”. In: S. Patnaik, K. Tajeddini, V. Jain (Eds.) Computational Management. Modeling and Optimization in Science and Technologies, Springer, Cham, vol. 18, 305-323 (2021)

Conference Papers

1. S.D. Mourtas, “Inflation Rate Prediction Using a Metaheuristic Fuzzy Adaptive WASD Neural Network”. In: P.S. Stanimirović, S.D. Mourtas, J.K. Sahoo (Eds.) Proceedings of IV International Workshop “Hybrid Methods of Modeling and Optimization in Complex Systems”, December 2-4, Krasnoyarsk, Russia, 2024. Lecture Notes in Networks and Systems. Springer, Cham, vol. 1944, 3-13 (2026)

2. S.D. Mourtas, “A Bio-Inspired Fuzzy Adaptive WASD Neural Network for Forecasting Buying and Selling Patterns”. In: P.S. Stanimirović, S.D. Mourtas, J.K. Sahoo (Eds.) Proceedings of IV International Workshop “Hybrid Methods of Modeling and Optimization in Complex Systems”, December 2-4, Krasnoyarsk, Russia, 2024. Lecture Notes in Networks and Systems. Springer, Cham, vol. 1944, 319-329 (2026)

3. S.D. Mourtas, “Computing the dynamic AC of an electrical network via a fuzzy adaptive recurrent neural network”. In: P.S. Stanimirović, A.A. Stupina, I.V. Kovalev, S.D. Mourtas, J.K. Sahoo (Eds.) Proceedings of III International Workshop “Hybrid Methods of Modeling and Optimization in Complex Systems”, November 21-22, Krasnoyarsk, Russia, 2025. ITM Web of Conferences, EDP Sciences, Paris, France, vol. 72, 03003 (2025)

4. S.D. Mourtas, “Credit approval classification through a WASD neuronet”. In: P.S. Stanimirović, A.A. Stupina, I.V. Kovalev, S.D. Mourtas, J.K. Sahoo (Eds.) Proceedings of III International Workshop “Hybrid Methods of Modeling and Optimization in Complex Systems”, December 2-4, Krasnoyarsk, Russia, 2024. ITM Web of Conferences, EDP Sciences, Paris, France, vol. 72, 05006 (2025)

5. S.D. Mourtas, “Color restoration of images through high order zeroing neural networks”. In: P.S. Stanimirović, A.A. Stupina, I.V. Kovalev (Eds.) Proceedings of II International Workshop “Hybrid Methods of Modeling and Optimization in Complex Systems”, November 28-30, Krasnoyarsk, Russia, 2023. ITM Web of Conferences, EDP Sciences, Paris, France, vol. 59, 01005 (2024)

6. S.D. Mourtas, “Customer churn classification through a weights and structure determination neural network”. In: P.S. Stanimirović, A.A. Stupina, I.V. Kovalev (Eds.) Proceedings of II International Workshop “Hybrid Methods of Modeling and Optimization in Complex Systems”, November 28-30, Krasnoyarsk, Russia, 2023. ITM Web of Conferences, EDP Sciences, Paris, France, vol. 59, 01004 (2024)

7. P.S. Stanimirović, B. Ivanov, V.N. Katsikis, S.D. Mourtas, “Neutrosophy in Unconstrained Nonlinear Optimization”. In: P.S. Stanimirović, A.A. Stupina, E. Semenkin, I.V. Kovalev (Eds.) Proceedings of International Workshop “Hybrid Methods of Modeling and Optimization in Complex Systems”, November 22-24, 2022, Krasnoyarsk, the Russian Federation. European Proceedings of Computers and Technology, European Publisher, London, UK, vol. 1, 131-193 (2023)

8. S.D. Mourtas, P.S. Stanimirović, V.N. Katsikis, “A Neutrosophic Adaptive Recurrent Neural Network for Time-Varying Matrix Inversion”. In: P.S. Stanimirović, A.A. Stupina, E. Semenkin, I.V. Kovalev (Eds.) Proceedings of International Workshop “Hybrid Methods of Modeling and Optimization in Complex Systems”, November 22-24, 2022, Krasnoyarsk, the Russian Federation. European Proceedings of Computers and Technology, European Publisher, London, UK, vol. 1, 249-255 (2023)

9. S.D. Mourtas, V.N. Katsikis, R. Sahas, “Credit Card Attrition Classification Through Neuronets”. In: P.S. Stanimirović, A.A. Stupina, E. Semenkin, I.V. Kovalev (Eds.) Proceedings of International Workshop “Hybrid Methods of Modeling and Optimization in Complex Systems”, November 22-24, 2022, Krasnoyarsk, the Russian Federation. European Proceedings of Computers and Technology, European Publisher, London, UK, vol. 1, 86-93 (2023)

Collective Volumes

1. P.S. Stanimirović, S.D. Mourtas, J.K. Sahoo (Eds.), Hybrid Methods for Modeling and Optimizing Complex Systems: Advances in Interdisciplinary Approaches for Complex Problem Solving, Volume 1. Lecture Notes in Networks and Systems, vol. 1944. Cham, Switzerland: Springer, 2026.

2. P.S. Stanimirović, S.D. Mourtas, J.K. Sahoo (Eds.), Hybrid Methods for Modeling and Optimizing Complex Systems: Advances in Interdisciplinary Approaches for Complex Problem Solving. Lecture Notes in Networks and Systems, vol. 1481. Cham, Switzerland: Springer, 2025.

3. P.S. Stanimirović, A.A. Stupina, I.V. Kovalev, S.D. Mourtas, J.K. Sahoo (Eds.), Preface, Proceedings of III International Workshop “Hybrid Methods of Modeling and Optimization in Complex Systems”, December 2-4, Krasnoyarsk, Russia, 2024. ITM Web of Conferences, Vol. 72, 00001. Paris, France: EDP Sciences, 2025.