moslehian  and mirmostafaee, investigated the fuzzystability problems for the cauchy additive functional equation, the jensen additivefunctional equation and the cubic functional equation in fuzzybanach spaces. in this paper, we investigate thegeneralized hyers–-ulam--rassias stability of the generalizedadditive functional equation with $n$--variables, in fuzzy banachspaces. also, we will show ...

This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the “state” and norm bounded time varying quasi-linear uncertainties in the delayed “state” and in the difference operator. The stability analysis is performed via...

The class of bounded variation bvF (u, v) of fuzzy numbers introduced by [8] has been investigated further with the help of the generalized weighted mean matrix G(u, v). Imposing some restrictions on the matrix G(u, v), we have established it’s relation with different class of sequences such as our known classical sets, set of all statistically null difference sequences, Cesaro sequences etc. A...

In this paper we deal with the problem of data summarization through the concept of fuzzy dependency. We introduce a projection operator which leads us to partition a database into two projections with a less amount of information. Thus, we can replace the original relation by those projections. In this process we must guarantee that we can recover the original relation, through the projections...

Abstract This paper is devoted to finding out some realization of the concept b -metric like space. First, we attain a fixed point for two fuzzy mappings satisfying suitable requirement contractiveness. Subsequently, apply such result graphic contractions. Also, unique solution system integral equations, and lastly give an application ensure that there exists common bounded functional equation ...

If Tμ is a Fourier multiplier such that μ is any (possibly unbounded) symbol with uniformly bounded q-variation on dyadic coronas, we prove that the commutator [T, Tμ] = TTμ−TμT is bounded on the Besov space B p (R ), if T is any bounded linear operator on a couple of Besov spaces Bj ,rj p (R) (j = 0, 1, and 0 < σ1 < σ < σ0).

A new design approach for an adaptive fuzzy sliding mode controller (AFSMC) for linear systems with mismatched time-varying uncertainties is presented. The coefficient matrix of the sliding function can be designed to satisfy a sliding coefficient matching condition provided time-varying uncertainties are bounded. With the sliding coefficient matching condition satisfied, an AFSMC is proposed t...

Introduction A classical question in the theory of functional equations is “when is it true that a mapping, which approximately satisfies a functional equation, must be somehow close to an exact solution of the equation?”. Such a problem, called a stability problem of the functional equation, was formulated by Ulam [1] in 1940. In the next year, Hyers [2] gave a partial solution of Ulam’s probl...