The following is the classical Hermite-Hadamard inequality [4, 5]: f ( a+ b 2 ) ≤ 1 b− a (S) ∫ b a f(x)dμ ≤ f(a) + f(b) 2 . which provides estimates of the mean value of a convex function f on [a, b] where μ is the Lebesgue measure on R. This inequality in general, is not valid in the fuzzy context. In this paper, we find necessary and sufficient conditions of Hermite-Hadamard type inequality f...

The article presents a Fuzzy-Sugeno type microscopic follower model from the building of the model through a brief description to the evaluation of it. Four other models mentioned in the literature are used for the investigation of the model giving a basis of comparison for the evaluation of the model in question. The model implements a partition of two of the three typical parameters (follower...

A type of distributed genetic algorithm (DGA), with dynamic determination of the migration period is proposed. The algorithm is especially well suited for the parametric optimization of fuzzy identification systems and its implementation on heterogeneous clusters. The results of the parametric optimization of a Takagi-Sugeno-Kang (TSK) identification system for a bio-technological (fermentative...

A new inequality for the universal integral on abstract spaces is obtained in a rather general form. As two corollaries, Minkowski’s and Chebyshev’s type inequalities for the universal integral are obtained. The main results of this paper generalize some previous results obtained for special fuzzy integrals, e.g., Choquet and Sugeno integrals. Furthermore, related inequalities for seminormed in...

Fuzzy logic controller is one of the most prominent research fields to improve efficiency for process industries, which usually stick conventional proportional-integral-derivative (PID) control. The paper proposes an improved version three-term PID-like fuzzy by removing necessity having user-defined parameters in place algorithm work. resulting non-parametric dissimilarity-based clustering was...

Recently, the Takagi-Sugeno fuzzy controllers [3] have been applied to nonlinear systems (see, for example, [3] and [4]). In these studies, a nonlinear plant was represented by a set of linear models interpolated by membership functions and then a model-based fuzzy controller was developed. This technique seems particularly suitable for the control of complex nonlinear systems since the dynamic...

In this paper, monitoring and sensor fault detection in a waste-water treatment process are discussed. Monitoring is based on the Takagi-Sugeno fuzzy model of a plant process obtained by using Gustafson-Kessel fuzzy clustering algorithm.The paper also explains the principle of the Takagi-Sugeno fuzzy model. The main idea is to cope with the non-linearity of a monitored process. The output of th...

Since the 2-DOF rehabilitation robot actuated by pneumatic muscle actuators (PMAs) has highly nonlinear and time-varying behavior due to gas compression and nonlinear elasticity of bladder containers, it is difficult to achieve excellent control performance using classical control methods. Here, this study proposes a novel Takagi-Sugeno(T-S) fuzzy approach to improve tracking performance. The T...

Our paper deals with the necessary properties in Fuzzy Measures. Therefore, it belongs to Fuzzy Mathematical Analysis. The Possibility Theory was created by Zadeh in a paper of 1978. As general purpose, to obtain a way to model flexible restrictions constructed from vague pieces of information. If we study the counterparts of expectations (from Probability Theory) in Possibility Theory, we obta...