In this paper we establish a Tauberian condition under which convergence follows from H"{o}lder summability of sequences of fuzzy  numbers.

In most control and engineering applications, the use of fuzzy system as a way to improve the humtzn-computer interaction has becoming popular. This paper reports on the use of fuzzy system in mineral processing specifically in determining the parameter d50c of hydrocyclone. However, wit,h the inputoutput data provided to build the fuzzy rule base, it normally results in a sparse fuzzy rule bas...

Fuzzy ideal set and fuzzy local function of fuzzy ideals with fuzzy topologies were introduced and studied by D. Sarker [10]. The purpose of this paper deals with new sort of fuzzy ideal and fuzzy local function namely fuzzy ideal and r-fuzzy open local function. Many of its characterizations, properties and connections between it and other corresponding fuzzy notions are studied. Also, we intr...

h a stochastic and fuzzy environment, a multiobjective fuzzy stopping problem is discussed. The randomness and fuzziness are evaluated by probabilistic expectations and linear ranking functions, respectively. Pareto optimal fuzzy stopping times are given under the assumption of regularity for stopping rules, by using X-optimal stopping times. @ 2003 Elsevier Ltd. All rights reserved. &Fords-Mul...

The robust fault detection filter design problem for singular TS fuzzy systems with time-delay is studied. Using an observer-based fuzzy fault detection filter as the residual generator, the fault detection filter design is converted to an H∞ filtering problem such that the generated residual is the H∞ estimation of the fault. Sufficient conditions are given, which guarantee the robust H∞ fault...

Fuzzy control is a model free approach, i.e., it does not require a mathematical model of the system under control. An observer-based indirect adaptive fuzzy neural tracking control equipped with VSS and H∞ control algorithms is developed for nonlinear SISO systems involving plant uncertainties and external disturbances. Three important control methods, i.e., adaptive fuzzy neural control schem...

In this paper, we propose the spectral collocation method based on radial basis functions to solve the fractional Bagley-Torvik equation under uncertainty, in the fuzzy Caputo's H-differentiability sense with order ($1< nu < 2$). We define the fuzzy Caputo's H-differentiability sense with order $nu$ ($1< nu < 2$), and employ the collocation RBF method for upper and lower approximate solutions. ...

In this paper, a new approach for solving the second order fuzzy differential equations (FDE) with fuzzy initial value, under strongly generalized H-differentiability is presented. Solving first order fuzzy differential equations by extending 1-cut solution of the original problem and solving fuzzy integro-differential equations has been investigated by some authors (see for example cite{darabi...

Abstract: This paper deals with the design problem of reliable H� fuzzy switching controllers for continuoustime nonlinear systems with different actuator fault mode. First, the Takagi-Sugeno (T-S) fuzzy model is employed to represent a nonlinear system. Next, based on the fuzzy model, a faulty switched system is constructed to model various classes of faulty nonlinear systems. The objective is...

This paper deals with the delay-dependent robust H∞ filter for a class of Takagi-Sugeno (T-S) fuzzy descriptor time-delay systems with parameter uncertainties. The uncertainties in the system are timevarying and bounded. By simplifying the T-S fuzzy descriptor system to the time-delay system, and base on Lyapunov stability theory in time-delay system, a sufficient condition on the existence of ...