Molodtsov has introduced the concept of soft sets and the application of soft sets in decision making and medical diagnosis problems. The basic properties of vague soft sets are presented. In this paper, we introduce the concept of interval-valued vague soft sets which are an extension of the soft set and its operations such as equality, subset, intersection, union, AND operation, OR operation,...

We denote by Q(A) the set of all matrices with the same sign pattern as A. A matrix A has signed null-space provided there exists a set S of sign patterns such that the set of sign patterns of vectors in the null-space of à is S for each à ∈ Q(A). Some properties of matrices with signed null-spaces are investigated.

background : progression of systemic lupus erythematosus (sle) could be due to oxidative stress especially through reactive oxygen species (ros). detoxification of ros is largely performed by glutathione s-transferases (gsts), therefore polymorphisms of gstm1, gstt1 and gstp1 genes which decrease enzymes activity could affect sle susceptibility. the aim of this study was to determine the effect...

Some recent works have shown that the heat equation on whole Euclidean space is null-controllable in any positive time if and only control subset a thick set. This necessary sufficient condition for null-controllability linked to some

In this paper we compute transitive cardinal coefficients of ideals on generalized Cantor spaces. In particular, we observe that there exists a null set A ⊆ 21 such that for every null set B ⊆ 21 we can find x ∈ 21 such that the set A ∪ (A + x) cannot be covered by any translation of the set B.

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.