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Modeling of uncertain nonlinear system with Z-numbers (2021)
Book Chapter
Jafari, R., Razvarz, S., Gegov, A., & Paul, S. (2021). Modeling of uncertain nonlinear system with Z-numbers. In Encyclopedia of Information Science and Technology (290-314). IGI Global. https://doi.org/10.4018/978-1-7998-3479-3.ch022

In order to model the fuzzy nonlinear systems, fuzzy equations with Z-number coefficients are used in this chapter. The modeling of fuzzy nonlinear systems is to obtain the Z-number coefficients of fuzzy equations. In this work, the neural network ap... Read More about Modeling of uncertain nonlinear system with Z-numbers.

Active structure control (2020)
Book Chapter
Yu, W., & Paul, S. (2020). Active structure control. In Active Control of Bidirectional Structural Vibration (1-18). Springer International Publishing. https://doi.org/10.1007/978-3-030-46650-3_1

Historic studies related to earthquakes such as in 1985 Mexico City, 1994 Northridge, 1995 Kobe, 1999 Kocaeli, 2001 Bhuj, 2008 Sichuan, 2008 Chile, and 2012 Emilia expose that earthquakes have caused severe damage in civil structures all over the wor... Read More about Active structure control.

Bidirectional active control with vertical effect (2020)
Book Chapter
Yu, W., & Paul, S. (2020). Bidirectional active control with vertical effect. In Active Control of Bidirectional Structural Vibration (97-118). Springer International Publishing. https://doi.org/10.1007/978-3-030-46650-3_6

During the last years, protection of civil structures subjected to different kinds of dynamic loadings is a topic of great importance and interest within the areas of active control and structural safety.

Type-2 fuzzy PD/PID control of structures (2020)
Book Chapter
Yu, W., & Paul, S. (2020). Type-2 fuzzy PD/PID control of structures. In Active Control of Bidirectional Structural Vibration (57-78). Springer International Publishing. https://doi.org/10.1007/978-3-030-46650-3_4

Fuzzy logic has obtained many attentions in control of structure because of its simple nature, robustness, and nonlinear mapping capability (Choi et al., Int J Solids Struct 42(16–17):4779–4794, [1]). Reigles and Symans (Structural control and health... Read More about Type-2 fuzzy PD/PID control of structures.

Bidirectional PD/PID control of structures (2020)
Book Chapter
Yu, W., & Paul, S. (2020). Bidirectional PD/PID control of structures. In Active Control of Bidirectional Structural Vibration (31-56). Springer International Publishing. https://doi.org/10.1007/978-3-030-46650-3_3

The role of the structural control is to minimize the vibrations of the buildings under the effect of bidirectional earthquake via an effective external control force. In an active control system, it is essential to design an effective control strate... Read More about Bidirectional PD/PID control of structures.

Structure models in bidirection (2020)
Book Chapter
Yu, W., & Paul, S. (2020). Structure models in bidirection. In Active Control of Bidirectional Structural Vibration (19-29). Springer International Publishing. https://doi.org/10.1007/978-3-030-46650-3_2

This chapter provides an overview of modeling of building structures under bidirectional earthquakes. Structural mechanics involves the study of vibrations incorporated in structures. In order to control a structure effectively, it is important to ha... Read More about Structure models in bidirection.

Fuzzy Sumudu Transform Approach to Solving Fuzzy Differential Equations With Z-Numbers (2019)
Book Chapter
Jafari, R., Razvarz, S., Gegov, A., Paul, S., & Keshtkar, S. (2019). Fuzzy Sumudu Transform Approach to Solving Fuzzy Differential Equations With Z-Numbers. In Advanced Fuzzy Logic Approaches in Engineering Science (18-48). IGI Global. https://doi.org/10.4018/978-1-5225-5709-8.ch002

Uncertain nonlinear systems can be modeled with fuzzy differential equations (FDEs) and the solutions of these equations are applied to analyze many engineering problems. However, it is very difficult to obtain solutions of FDEs. In this book chapter... Read More about Fuzzy Sumudu Transform Approach to Solving Fuzzy Differential Equations With Z-Numbers.

Neural Network Approach to Solving Fully Fuzzy Nonlinear Systems (2018)
Book Chapter
Razvarz, S., Jafari, R., Gegov, A., Yu, W., & Paul, S. (2018). Neural Network Approach to Solving Fully Fuzzy Nonlinear Systems. In D. Mullins, & T. Harvey (Eds.), Fuzzy Modeling and Control: Methods, Applications and Research. Novel Publications

The value of fuzzy designs improves whenever a system cannot be validated in precise mathematical terminologies. In this book chapter, two types of neural networks are applied to obtain the approximate solutions of the fully fuzzy nonlinear system (... Read More about Neural Network Approach to Solving Fully Fuzzy Nonlinear Systems.