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 ...

1. I n t r o d u c t i o n ~ ]e concep t o f fuzzy s e t s d e f i n e d by Zadeh 1 ) g i v e s an i m p o r t a n t m a t h e m a t i c a l c l u e f o r an approach to s t u d i e s o f sys tems w i th no sha rp b o u n d a r i e s . L a t e l y , t h e fuzzy i n t e g r a l 2 ) b a s e d on t h e fuzzy s e t t h e o r y has been proposed and a p p l i e d t o t he measurement o f fuzzy o b j...

The notions of t-fuzzy left h-ideals, finite valued tfuzzy left h-ideals in a Γ−hemiring are introduced and some of their basic properties are investigated. t-fuzzy relations on a Γ−hemiring S are discussed and a characterization is given. Copyright c © 2011 Yang’s Scientific Research Institute, LLC. All rights reserved.

We introduce the notion of interval valued intutionistic (S,T)-fuzzy left h-ideal (k-ideal) of a hemiring (semiring). We describe some characteristic properties and connections. Finally, we construct some equivalence relations induced by interval valued intutionistic (S,T)-fuzzy left h-ideals (k-ideals).