in this paper, we introduce fuzzy banach algebra and study the properties of invertible elements and its relation with opensets. we obtain some interesting results.

in this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. by using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. moreover, we investigate the ...

Aiming at semi-decentralized suburban sewage resource recovery, pilot-scale Enhanced membrane coagulation reactor (E-MCR) was set up for the first time for preliminary demonstration of sewage pre-concentration. During around 2400h continuous operation with different working scenarios, a relative stable average permeability of 30-50 L/mh·bar was achieved through the combination of enhanced coagu...

We introduce a natural topology on the space of left orderings of an arbitrary semi-group G. We prove that this space is always compact and that for free abelian groups it is homeomorphic to the Cantor set. We use our topological approach to provide a simple proof of the existence of universal Gröbner bases. 1. Orderings for semi-groups Given a semi-group G (ie. a set with an associative binary...

We investigate whether kernelization results can be obtained if we restrict kernelization algorithms to run in logarithmic space. This restriction for kernelization is motivated by the question of what results are attainable for preprocessing via simple and/or local reduction rules. We find kernelizations for d-hitting set(k), d-set packing(k), edge dominating set(k) and a number of hitting and...

For every fixed l > 0, we describe a singly exponential algorithm for computing the first l Betti number of a given semi-algebraic set. More precisely, we describe an algorithm that given a semi-algebraic set S ⊂ Rk a semi-algebraic set defined by a Boolean formula with atoms of the form P > 0, P < 0, P = 0 for P ∈ P ⊂ R[X1, . . . ,Xk], computes b0(S), . . . , bl(S). The complexity of the algor...

Let D denote the open unit disk {z ∈ C | |z| < 1}, and C+ denote the right half-plane {s ∈ C | Re(s) ≥ 0}. (1) Let W (D) be the Wiener algebra of the disc, that is the set of all absolutely convergent Taylor series in the open unit disk D, with pointwise operations. (2) Let W (C+) be the set of all functions defined in the right halfplane C+ that differ from the Laplace transform of a function ...