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Review of Type-3 Fuzzy Control

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Type-3 Fuzzy Logic in Intelligent Control

Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSINTELL))

Abstract

We describe in this chapter an overview of the existing papers in the area of type-3 fuzzy control to provide an idea of the state in which this area is at the moment. We utilized the Scopus database as a basis for elaborating this review. We discuss number of papers, number of citations and other statistics, that will offer to the reader an overview of the advancements made in the type-3 fuzzy area.

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References

  1. Zadeh, L.A.: The concept of a linguistic variable and its application to approximate reasoning. Inf. Sci. 8, 43–80 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  2. Zadeh, L.A.: Knowledge representation in fuzzy logic. IEEE Trans. Knowl. Data Eng. 1, 89 (1989)

    Article  Google Scholar 

  3. Mendel, J.M., Hagras, H., Tan, W.-W., Melek, W.W., Ying, H.: Introduction to Type-2 Fuzzy Logic Control. Wiley and IEEE Press, Hoboken, NJ (2014)

    Book  MATH  Google Scholar 

  4. Moreno, J.E., et al.: Design of an interval type-2 fuzzy model with justifiable uncertainty. Inf. Sci. 513, 206–221 (2020)

    Article  Google Scholar 

  5. Amador-Angulo, L., Castillo, O., Castro, J.R., Melin, P.: A new approach for interval type-3 fuzzy control of nonlinear plants. Int. J. Fuzzy Syst. 25(4), 1624–1642 (2023)

    Article  Google Scholar 

  6. Ochoa, P., Castillo, O., Melin, P., Castro, J.R.: Interval type-3 fuzzy differential evolution for parameterization of fuzzy controllers. Int. J. Fuzzy Syst. 25(4), 1360–1376 (2023)

    Article  Google Scholar 

  7. Elhaki, O., Shojaei, K., Mohammadzadeh, A., Rathinasamy, S.: Robust amplitude-limited interval type-3 neuro-fuzzy controller for robot manipulators with prescribed performance by output feedback. Neural Comput. Appl. 35(12), 9115–9130 (2023)

    Google Scholar 

  8. Elhaki, O., Shojaei, K., Mohammadzadeh, A.: Robust state and output feedback prescribed performance interval type-3 fuzzy reinforcement learning controller for an unmanned aerial vehicle with actuator saturation. IET Control Theory Appl. 17(5), 605–627 (2023)

    Article  MathSciNet  Google Scholar 

  9. Xu, S., Zhang, C., Mohammadzadeh, A.: Type-3 fuzzy control of robotic manipulators. Symmetry 15(2) (2023)

    Google Scholar 

  10. Huang, H., Xu, H., Chen, F., Zhang, C., Mohammadzadeh, A.: An applied type-3 fuzzy logic system: practical Matlab Simulink and M-files for robotic, control, and modeling applications. Symmetry 15(2) (2023)

    Google Scholar 

  11. Castillo, O., Castro, J.R., Melin, P.: Forecasting the COVID-19 with interval type-3 fuzzy logic and the fractal dimension. Int. J. Fuzzy Syst. 25(1), 182–197 (2023)

    Article  Google Scholar 

  12. Melin, P., Castillo, O.: Interval type-3 fuzzy decision making in quality evaluation for speaker manufacturing. Stud. Comput. Intell. 1096, 489–498 (2023)

    Article  Google Scholar 

  13. Castillo, O., Melin, P.: Interval type-3 fuzzy decision making in material surface quality control. Stud. Comput. Intell. 1096, 479–487 (2023)

    Article  Google Scholar 

  14. Alkabaa, A.S., Taylan, O., Balubaid, M., Zhang, C., Mohammadzadeh, A.: A practical type-3 fuzzy control for mobile robots: predictive and Boltzmann-based learning. Complex Intell. Syst. (2023)

    Google Scholar 

  15. Yan, B., Jiang, X., Alattas, K.A., Zhang, C., Mohammadzadeh, A.: Generation of limit cycles in nonlinear systems: machine leaning based type-3 fuzzy control. IEEE Access 11, 34835–34845 (2023)

    Article  Google Scholar 

  16. Tarafdar, A., Majumder, P., Deb, M., Bera, U.K.: Performance-emission optimization in a single cylinder CI-engine with diesel hydrogen dual fuel: a spherical fuzzy MARCOS MCGDM based type-3 fuzzy logic approach. Int. J. Hydrogen Energy (2023)

    Google Scholar 

  17. Peraza, C., Castillo, O., Melin, P., Castro, J.R., Yoon, J.H., Geem, Z.W.: A type-3 fuzzy parameter adjustment in harmony search for the parameterization of fuzzy controllers. Int. J. Fuzzy Syst. (2023)

    Google Scholar 

  18. Castillo, O., Castro, J.R., Melin, P.: Interval type-3 fuzzy systems: a natural evolution from type-1 and type-2 fuzzy systems. Stud. Comput. Intell. 1061, 209–221 (2023)

    Article  Google Scholar 

  19. Hamdy, M., Ibrahim, A., Abozalam, B., Helmy, S.: Maximum power point tracking for solar photovoltaic system based on interval type-3 fuzzy logic: practical validation. Electr. Power Comp. Syst. 51(10), 1009–1026 (2023)

    Article  Google Scholar 

  20. Taghieh, A., Mohammadzadeh, A., Zhang, C., Rathinasamy, S., Bekiros, S.: A novel adaptive interval type-3 neuro-fuzzy robust controller for nonlinear complex dynamical systems with inherent uncertainties. Nonlinear Dyn. 111(1), 411–425 (2023)

    Article  Google Scholar 

  21. Taghieh, A., Zhang, C., Alattas, K.A., Bouteraa, Y., Rathinasamy, S., Mohammadzadeh, A.: A predictive type-3 fuzzy control for underactuated surface vehicles. Ocean Eng. 266 (2022)

    Google Scholar 

  22. Gheisarnejad, M., Mohammadzadeh, A., Khooban, M-.H.: Model predictive control based type-3 fuzzy estimator for voltage stabilization of DC power converters. IEEE Trans. Ind. Electron. 69(12), 13849–13858 (2022)

    Google Scholar 

  23. Castillo, O., Melin, P.: Towards interval type-3 intuitionistic fuzzy sets and systems. Mathematics 10(21) (2022)

    Google Scholar 

  24. Taghieh, A., Mohammadzadeh, A., Zhang, C., Kausar, N., Castillo, O.: A type-3 fuzzy control for current sharing and voltage balancing in microgrids. Appl. Soft Comput. (2022)

    Google Scholar 

  25. Castillo, O., Castro, J.R., Melin, P.: Interval type-3 fuzzy fractal approach in sound speaker quality control evaluation. Eng. Appl. Artif. Intell. 116 (2022)

    Google Scholar 

  26. Peraza, C., Ochoa, P., Castillo, O., Geem, Z.W.: Interval-type 3 fuzzy differential evolution for designing an interval-type 3 fuzzy controller of a unicycle mobile robot. Mathematics 10(19) (2022)

    Google Scholar 

  27. Castillo, O., Castro, J.R., Melin, P.: A methodology for building interval type-3 fuzzy systems based on the principle of justifiable granularity. Int. J. Intell. Syst. 37(10), 7909–7943 (2022)

    Article  Google Scholar 

  28. Amador-Angulo, L., Castillo, O., Melin, P., Castro, J.R.: Interval type-3 fuzzy adaptation of the bee colony optimization algorithm for optimal fuzzy control of an autonomous mobile robot. Micromachines 13(9) (2022)

    Google Scholar 

  29. Hua, G., Wang, F., Zhang, J., Alattas, K.A., Mohammadzadeh, A., The Vu, M.: A new type-3 fuzzy predictive approach for mobile robots. Mathematics 10(17) (2022)

    Google Scholar 

  30. Castillo, O., Castro, J.R., Pulido, M., Melin, P.: Interval type-3 fuzzy aggregators for ensembles of neural networks in COVID-19 time series prediction. Eng. Appl. Artif. Intell. 114 (2022)

    Google Scholar 

  31. Singh, D., Verma, N., Ghosh, A., Malagaudanavar, A.: An approach towards the design of interval type-3 T-S fuzzy system. IEEE Trans. Fuzzy Syst. 30(9), 3880–3893 (2022)

    Article  Google Scholar 

  32. Melin, P., Sánchez, D., Castro, J.R., Castillo, O.: Design of type-3 fuzzy systems and ensemble neural networks for COVID-19 time series prediction using a firefly algorithm. Axioms 11(8) (2022)

    Google Scholar 

  33. Tian, M.-W., Yan, S.-R., Liu, J., Alattas, K.A., Mohammadzadeh, A., Vu, M.T.: A new type-3 fuzzy logic approach for chaotic systems: robust learning algorithm. Mathematics 10(15) (2022)

    Google Scholar 

  34. Kreinovich, V., Kosheleva, O., Melin, P., Castillo, O.: Efficient algorithms for data processing under type-3 (and higher) fuzzy uncertainty. Mathematics 10(13) (2022)

    Google Scholar 

  35. Castillo, O., Castro, J.R., Melin, P.: Interval type-3 fuzzy control for automated tuning of image quality in televisions. Axioms 11(6) (2022)

    Google Scholar 

  36. Castillo, O., Castro, J.R., Melin, P.: Interval type-3 fuzzy aggregation of neural networks for multiple time series prediction: the case of financial forecasting. Axioms 11(6) (2022)

    Google Scholar 

  37. Gheisarnejad, M., Mohammadzadeh, A., Farsizadeh, H., Khooban, M.-H.: Stabilization of 5G telecom converter-based deep type-3 fuzzy machine learning control for telecom applications. IEEE Trans. Circuits Syst. Express Briefs 69(2), 544–548 (2022)

    Google Scholar 

  38. Riaz, A., Kousar, S., Kausar, N., Pamucar, D., Addis, G.M.: Codes over lattice-valued intuitionistic fuzzy set type-3 with application to the complex DNA analysis. Complexity 2022 (2022)

    Google Scholar 

  39. Fan, W., Mohammadzadeh, A., Kausar, N., Pamucar, D., Ide, N.A.D.: A new type-3 fuzzy PID for energy management in microgrids. Adv. Math. Phys. 2022 (2022)

    Google Scholar 

  40. Castillo, O., Pulido, M., Melin, P.: Interval type-3 fuzzy aggregators for ensembles of neural networks in time series prediction. In: Lecture Notes Networks Systems, vol. 504, pp. 785-793. (2022)

    Google Scholar 

  41. Tian, M.-W., Bouteraa, Y., Alattas, K.A., Yan, S.-R., Alanazi, A.K., Mohammadzadeh, A., Mobayen, S.: A type-3 fuzzy approach for stabilization and synchronization of chaotic systems: applicable for financial and physical chaotic systems. Complexity 2022 (2022)

    Google Scholar 

  42. Castillo, O., Castro, J.R., Melin, P.: Introduction to interval type-3 fuzzy systems. Stud. Fuzziness Soft Comput. 418, 1–4 (2022)

    Article  MATH  Google Scholar 

  43. Castillo, O., Castro, J.R., Melin, P.: Interval type-3 fuzzy logic systems (IT3FLS). Stud. Fuzziness Soft Comput. 418, 45–98 (2022)

    Article  Google Scholar 

  44. Castillo, O., Castro, J.R., Melin, P.: Interval type-3 fuzzy sets. Stud. Fuzziness Soft Comput. 418, 13–43 (2022)

    Article  MATH  Google Scholar 

  45. Taghieh, A., Aly, A.A., Felemban, B.F., Althobaiti, A., Mohammadzadeh, A., Bartoszewicz, A.: A hybrid predictive type-3 fuzzy control for time-delay multi-agent systems. Electronics (Switzerland) 11(1) (2022)

    Google Scholar 

  46. Tian, M.-W., Mohammadzadeh, A., Tavoosi, J., Mobayen, S., Asad, J.H., Castillo, O., Várkonyi-Kóczy, A.R.: A deep-learned type-3 fuzzy system and its application in modeling problems. Acta Polytech. Hung. 19(2), 151–72 (2022)

    Google Scholar 

  47. Yan, S., Aly, A.A., Felemban, B.F., Gheisarnejad, M., Tian, M., Khooban, M.H., Mohammadzadeh, A., Mobayen, S.: A new event-triggered type-3 fuzzy control system for multi-agent systems: optimal economic efficient approach for actuator activating. Electronics (Switzerland) 10(24) (2021)

    Google Scholar 

  48. Aly, A.A., Felemban, B.F., Mohammadzadeh, A., Castillo, O., Bartoszewicz, A.: Frequency regulation system: a deep learning identification, type-3 fuzzy control and LMI stability analysis. Energies 14(22) (2021)

    Google Scholar 

  49. Tian, M.-W., Yan, S.-R., Mohammadzadeh, A., Tavoosi, J., Mobayen, S., Safdar, R., Assawinchaichote, W., Vu, M.T., Zhilenkov, A.: Stability of interval type-3 fuzzy controllers for autonomous vehicles. Mathematics 9(21) (2021)

    Google Scholar 

  50. Vafaie, R.H., Mohammadzadeh, A., Piran, M.J.: A new type-3 fuzzy predictive controller for MEMS gyroscopes. Nonlinear Dyn. 106(1), 381–403 (2021)

    Article  Google Scholar 

  51. Mohammadzadeh, A., Castillo, O., Band, S.S., Mosavi, A.: A novel fractional-order multiple-model type-3 fuzzy control for nonlinear systems with unmodeled dynamics. Int. J. Fuzzy Syst. 23(6), 1633–1651 (2021)

    Article  Google Scholar 

  52. Valdez, F., Vazquez, J.C., Melin, P., Castillo, O.: Comparative study of the use of fuzzy logic in improving particle swarm optimization variants for mathematical functions using co-evolution. Appl. Soft Comput. 52, 1070–1083 (2017)

    Article  Google Scholar 

  53. Sánchez, D., Melin, P., Castillo, O.: Comparison of particle swarm optimization variants with fuzzy dynamic parameter adaptation for modular granular neural networks for human recognition. J. Intell. Fuzzy Syst. 38(3), 3229–3252 (2020)

    Article  Google Scholar 

  54. Precup, R.-E., David, R.-C., Roman, R.-C., Petriu, E.M., Szedlak-Stinean, A.-I.: Slime mould algorithm-based tuning of costeffective fuzzy controllers for servo systems. Int. J. Comput. Intell. Syst. 14(1), 1042–1052 (2021)

    Article  Google Scholar 

  55. Precup, R.-E., David, R.-C., Roman, R.-C., Szedlak-Stinean, A.-I., Petriu, E.M.: Optimal tuning of interval type-2 fuzzy controllers for nonlinear servo systems using slime mould algorithm. Int. J. Syst. Sci. (2021). https://doi.org/10.1080/00207721.2021.1927236

  56. Sanchez, D., Melin, P., Castillo, O.: A grey wolf optimizer for modular granular neural networks for human recognition. Comput. Intell. Neurosci. 4180510:1–4180510:26 (2017)

    Google Scholar 

  57. Castillo, O., Melin, P.: A new fuzzy-fractal-genetic method for automated mathematical modelling and simulation of robotic dynamic systems. In: IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 1998) Proceedings, vol. 2, pp. 1182–1187. (1998)

    Google Scholar 

  58. Castillo, O., Melin, P.: Intelligent adaptive model-based control of robotic dynamic systems with a hybrid fuzzy-neural approach. Appl. Soft Comput. 3(4), 363–378 (2003)

    Article  Google Scholar 

  59. Melin, P., Castillo, O.: Adaptive intelligent control of aircraft systems with a hybrid approach combining neural networks, fuzzy logic and fractal theory. Appl. Soft Comput. 3(4), 353–362 (2003)

    Article  Google Scholar 

  60. Aguilar, L., Melin, P., Castillo, O.: Intelligent control of a stepping motor drive using a hybrid neuro-fuzzy ANFIS approach. Appl. Soft Comput. 3(3), 209–219

    Google Scholar 

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Correspondence to Oscar Castillo .

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Castillo, O., Melin, P. (2023). Review of Type-3 Fuzzy Control. In: Type-3 Fuzzy Logic in Intelligent Control. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-031-46088-3_3

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