Optimal type-3 fuzzy control and analysis of complicated financial systems

Xu A., Tian M., KAUSAR N., Mohammadzadeh A., Pamucar D., Ozbilge E.

Journal of Intelligent and Fuzzy Systems, vol.44, no.5, pp.7121-7134, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 5
  • Publication Date: 2023
  • Doi Number: 10.3233/jifs-223396
  • Journal Name: Journal of Intelligent and Fuzzy Systems
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.7121-7134
  • Keywords: chaotic systems, financial systems, Fuzzy logic, optimal fuzzy control
  • Yıldız Technical University Affiliated: Yes


The financial systems have complicated dynamics and are perturbed by various uncertainties and disturbances. Chaos theory provides a practical approach to analyzing financial systems. The chaotic systems have unpredictable random characteristics that help to analyze the financial systems better. Recently, type-3 (T3) fuzzy logic systems (FLSs) have been developed for high-uncertain systems. T3-FLSs provide a reliable tool to cope with high-noisy environments. In T3-FLSs, the upper/lower bounds of uncertainties are fuzzy values. This property results in a strong tool to model more levels of uncertainties. Control, modeling, and forecasting accuracy in financial systems are so important. Then, better systems with higher accuracy are required. In this paper, a new T3-FLS based controller is introduced for chaotic financial systems. By solving a Riccati equation, sufficient conditions are concluded for optimality and robustness. T3-FLSs are learned to minimize the error and stabilize the whole system. A new optimal learning rules are extracted for T3-FLSs. Various benchmark chaotic model of financial systems are considered for examining the efficacy of the introduced approach, and the excellent response and superiority of the suggested approach is verified. Also, a comparison with other methods demonstrates the better efficiency of the suggested scheme.