The Choquet integral extended to negative functions can be defined in two ways, namley the asymmetric integral (usual Choquet integral) and the symmetric integral (also called the Šipoš integral). No such extension has been defined for the Sugeno integral. In this paper, after recalling the case of Choquet integral, we address the case of Sugeno integral, which we define in a purely ordinal fra...

An algorithm for real-time prediction of river stage dynamics using a Takagi-Sugeno fuzzy system is presented in this paper. The system is trained incrementally each time step and is used to predict onestep and multi-step ahead of river stages. The number of input variables that were considered in the analysis was determined using two statistical methods, i.e. autocorrelation and partial autoco...

In this paper, we address fault-tolerant control for non-linear plants. We perform soft fault detection and isolation for partial fault detection. A new method is proposed that combines model predictive controllers with fuzzy Takagi-Sugeno models. An example is presented to illustrate the functionality of the proposed approach. Keywords— Fault detection and isolation, multiple models, fuzzy Tak...

For the classical Jensen inequality of convex functions, i.e., [Formula: see text] an equivalent condition is proved in the framework of the generalized Sugeno integral. Also, the necessary and sufficient conditions for the validity of the discrete form of the Jensen inequality for the generalized Sugeno integral are given.

In this paper, we generalize the definition of Sugeno integrals by utilizing the so-called median operations, which are a special kind of aggregation operations. The generalized integrals, which we call median integrals, possess almost all common properties of Sugeno integrals. The properties of median integrals are investigated and their significance is discussed.

Inverse fuzzy process model based direct adaptive control. [2] J. Abonyi and R. Babuška. Local and global identification and interpretation of parameters in Takagi–Sugeno fuzzy models. In Proceed-[3] J. Abonyi and R. Babuška. Local and global identification and interpretation of parameters in Takagi–Sugeno fuzzy models. In Proceed-tification and control of nonlinear systems using fuzzy Hammerst...

In 1974, the Japanese scholar Sugeno 1 presented a kind of typical nonadditive measure, Sugeno measure, which is an important generalization of probability measure 2–6 . As we all know, the definitions and properties of moment of random variable play an important role in probability theory 7–9 . Likewise, they are also very important for Sugenomeasure. In this paper we present the analogous def...