To describe expert uncertainty, it is often useful to go beyond additive probability measures and use non-additive (fuzzy) measures. One of the most widely and successfully used class of such measures is the class of Sugeno λ-measures. Their success is somewhat paradoxical, since from the purely mathematical viewpoint, these measures are – in some reasonable sense – equivalent to probability me...

Although, in literature various results can be found claiming that fuzzy controllers are universal approximators, recently it was shown [3, 4] that for Sugeno-controllers this property does not hold any longer if the number of the rules is bounded. Namely, it was shown that the set of Sugeno-controllers is nowhere dense in the space of continuous functions. In this paper a generalization of the...

Orthogonal function approach (OFA) and the hybrid Taguchi-genetic algorithm (HTGA) are used to solve quadratic finite-horizon optimal controller design problems in both a fuzzy parallel distributed compensation (PDC) controller and a non-PDC controller (linear state feedback controller) for Takagi–Sugeno (TS) fuzzy-model-based control systems for dynamic ship positioning systems (TS-DSPS). Base...

In this article, we investigate the parabolic partial differential equations (PDEs) systems with Neumann boundary conditions via Takagi–Sugeno (T–S) fuzzy model. On basis of obtained T–S PDE model, a novel state controller which is associated position and mean value coefficient matrix derived through theorem integral designed to analyze asymptotic stability system. Without sampling nonlinear pa...

Sugeno-Weber family of t-norms and t-conorms is one of the most applied one in various fuzzy modelling problems. This family of t-norms and t-conorms was suggested by Weber for modeling intersection and union of fuzzy sets. Also, the t-conorms were suggested as addition rules by Sugeno for so-called  $lambda$–fuzzy measures. In this paper, we study a nonlinear optimization problem where the fea...

A hybrid control scheme of Sugeno Fuzzy PD-like System (SFPDS) and PID controller is introduced in this work. The idea of the proposed strategy is to manipulate the control error signal in two stages: the SFPDS first, and then the PID. The manipulated signal is finally provided as a control action to the system. The proposed control strategy aims at combining the benefits of utilizing the artif...

This paper is focused on the stabilization of Takagi–Sugeno fuzzy model-based Markovian jump systems with aid a delayed state observer. Due to network-induced constraints in communication channel, delay partition method combined an event-triggered mechanism proposed design Then, novel integral sliding surface designed, based which mode dynamics obtained. Further, according stochastic stability ...

In healthcare settings, compliance with clinical protocols and medical guidelines is important to ensure high-quality, safe effective treatment of patients. How measure how represent information in an interpretable actionable way still open challenge. this paper, we propose new metrics for assessments. For purpose, use two fuzzy aggregation techniques, namely the OWA operator Sugeno integral. T...

We focus on the analysis and design of two different sliding mode observers for dynamic Takagi-Sugeno (TS) fuzzy systems. A nonlinear system of this class is composed of multiple affine local linear models that are smoothly interpolated by weighting functions resulting from a fuzzy partitioning of the state space of a given nonlinear system subject to observation. The Takagi-Sugeno fuzzy system...