In this paper a linear Fuzzy Fredholm Integral Equation(FFIE) with arbitrary Fuzzy Function input and symmetric triangular (Fuzzy Interval) output is considered. For each variable, output is the nearest triangular fuzzy number (fuzzy interval) to the exact fuzzy solution of (FFIE).

In topological data analysis, two-parameter persistence can be studied using the representation theory of 2d commutative grid, tensor product two Dynkin quivers type A. a previous work, we defined interval approximations restrictions to essential vertices intervals together with Mobius inversion. this consider homological resolutions, and show that resolution global dimension is finite for pose...

In this article, by using Chebyshev’s polynomials and Chebyshev’s expansion, we obtain the best uniform polynomial approximation out of P2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. Using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4a...

We give a simple and efficient method to simulate interval operations using only rounding to nearest in IEEE 754. The quality in terms of the diameter of the result is significantly improved compared to existing approaches.

In some regression problems, it may be more reasonable to predict intervals rather than precise values. We are interested in finding intervals which simultaneously for all input instances x ∈ X contain a β proportion of the response values. We name this problem simultaneous interval regression. This is similar to simultaneous tolerance intervals for regression with a high confidence level γ ≈ 1...