Neural Networks (NN), Type-1 Fuzzy Logic Systems (T1FLS) and Interval Type-2 Fuzzy Logic Systems (IT2FLS) are universal approximators, they can approximate any non-linear function. Recent research shows that embedding T1FLS on an NN or embedding IT2FLS on an NN can be very effective for a wide number of non-linear complex systems, especially when handling imperfect information. In this paper we...

Abstract In this paper we introduce a general class of integral operators that fix exponential functions, containing several recent modified Gauss–Weierstrass, or Picard moment type operators. Pointwise convergence theorems are studied, using Korovkin-type theorem and Voronovskaja-type formula is obtained.

A common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the Weierstrass canonical form. The Weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. The present ...

The problem of describing classes functions in terms the rate approximation these by polynomials, rational functions, splines entered theory more than 100 years ago and still retains its relevance. Among a large number problems related to approximation, we considered polynomial two variables function defined on continuum an elliptic curve C2 holomorphic interior. formulation such question led n...

In this paper, using the best proximity theorems for an extensionof Brosowski's theorem. We obtain other results on farthest points. Finally, wedene the concept of e- farthest points. We shall prove interesting relationshipbetween the -best approximation and the e-farthest points in normed linearspaces (X; ||.||). If z in W is a e-farthest point from an x in X, then z is also a-best approximati...