The generalized fuzzy valued $theta$-Choquet integrals will beestablished for the given $mu$-integrable fuzzy valued functionson a general fuzzy measure space, and the convergence theorems ofthis kind of fuzzy valued integral are being discussed.Furthermore, the whole of integrals is regarded as a fuzzy valuedset function on measurable space, the double-null asymptoticadditivity and pseudo-doub...

The generalized fuzzy valued θ-Choquet integrals will be established for the given μ-integrable fuzzy valued functions on a general fuzzy measure space, and the convergence theorems of this kind of fuzzy valued integral are being discussed. Furthermore, the whole of integrals is regarded as a fuzzy valued set function on measurable space, the double-null asymptotic additivity and pseudo-double-...

In this paper, we study different types of non-additive set multifunctions (such as: uniformly autocontinuous, null-additive, null-null-additive), presenting relationships among them and some of their properties regarding atoms and pseudo-atoms. We also study non-atomicity and non-pseudo-atomicity of regular null-additive set multifunctions defined on the Baire (Borel respectively) δ-ring of a ...

In this paper, we present different types of continuous set multifunctions with respect to a set norm (such as uniformly autocontinuous or autocontinuous from above), their relationships with non-additive set multifunctions and some properties of atoms and pseudo-atoms for null-null-additive set multifunctions.

in this paper, some results of the chebyshev type integral inequality for the pseudo-integral are proven. the obtained results, are related to the measure of a level set of the maximum and the sum of two non-negative integrable functions. finally, we applied our results  to the case of comonotone functions.

In additive number theory an important topic is the problem of finding an asymptotic formula for the number of solutions of a given congruence. In many additive congruences the error term estimates of asymptotic formulas contain logarithmic factors. The aim of the present paper is to illustrate application of double exponential sums and a multidimensional smoothing argument in removing these fa...

Shapiro and Wilk (1965) proposed a highly intuitive goodness-offit test of normality with nuisance location and scale parameters. The test has received a considerable attention in the literature; its asymptotic null distribution is covered by the results of de Wet and Wenter (1973), and was recently studied by Sen (2002). We extend the Shapiro-Wilk test to the situation with nuisance regression...

We show that the geometry of asymptotic infinities Minkowski spacetime (in $d+1$ dimensions) is captured by homogeneous spaces Poincar\'e group: blow-ups spatial (Spi) and timelike (Ti) in sense Ashtekar--Hansen a novel space Ni fibering over $\mathscr{I}$. embed these \`a la Penrose--Rindler into pseudo-euclidean signature $(d+1,2)$ as orbits same subgroup O$(d+1,2)$. describe corresponding Kl...

The paper introduces a general framework for testing hypotheses about the structure of the mean function of complex functional processes. Important particular cases of the proposed framework are: 1) testing the null hypotheses that the mean of a functional process is parametric against a general alternative modeled by penalized splines; and 2) testing the null hypothesis that the means of two p...