This paper begins the study of reconfiguration zero forcing sets, and more specifically, graph. Given a base graph G, its graph, Z(G), is whose vertices are minimum sets G with an edge between B B′ Z(G) if only can be obtained from by changing single vertex G. It shown that forest connected, but many graphs disconnected. We characterize complete graphs, show star cannot computing takes 2Θ(n) op...

We investigate the completely Ramsey, Lebesgue, and Marczewski σ-algebras and their relations to the Baire property in the Ellentuck and density topologies. Two theorems concerning the Marczewski σ-algebra (s) are presented. Theorem. In the density topology D, (s) coincides with the σ-algebra of Lebesgue measurable sets. Theorem. In the Ellentuck topology on [ω] , (s)0 is a proper subset of the...

In recent papers the concept of Hartman (measurable) sets was investigated. A subset H of the integers, or more generally, of a topological group G is called Hartman measurable (or simply a Hartman set), if H = ι(M) for some continuous homomorphism ι : G → C, C = ι(G) a compact group, and M ⊆ C a set whose topological boundary ∂M is a null set w.r.t. the Haar measure on C. This concept turned o...

in this work, we define a fuzzy soft set theory and its related properties. we then define fuzzy soft aggregation operator that allows constructing more efficient decision making method. finally, we give an example which shows that the method can be successfully applied to many problems that contain uncertainties.

Given a d× d expansive dilation matrix D, a measurable set E ⊂ R d is called a Dt-dilation generator of Rd if Rd is tiled (modulo null sets) by the collection {(Dt)jE, j ∈ Z}. Our main goal in this paper is to prove certain results relating the support of the Fourier transform of functions generating a wavelet or orthonormal affine system associated with the dilation D to an arbitrary set E whi...