The aim of this paper is to introduce and investigate α∗-uniformity on a nonempty set X using α∗-covers of X in L-fuzzy set theory. Equivalent conditions for α∗-uniformity and basis to α∗-uniformity, respectively, are obtained. The topology generated by α∗-uniformity, called α∗-topology, is also given. Various examples of α∗-uniformity on X are given and the α∗-topology induced by them are also...

In this paper, we propose and evaluate a distributed and parallel processing method of genetic algorithms on the loosely-coupled multiprocessor systems. In the experimental evaluation, we observe that the solution quality depends on the network topology of the system and the communication frequency. The solution generated in the hypercube system and torus system was uniformly better than the co...

Given A ⊆ ℝ , the Hattori space H(A) is topological ( τA ) where each a ∈ has -neighborhood base { − ε + : > 0 } and b [ . Thus, may be viewed as hybrid of Euclidean topology lower-limit topology. We investigate properties spaces well other topologies on using various combinations discrete, left-ray, lower-limit, upper-limit, topologies. Since these generated by quasi-metric ℝ, we quasi-metr...

let  be a graded ring and  be a graded -module. we define a topology on graded prime spectrum  of the graded -module  which is analogous to that for , and investigate several properties of the topology.

in this paper, a pointwise pseudo-metric function on the l-realline is constructed. it is proved that the topology induced by this pointwisepseudo-metric is the usual topology.

Many systems require information about the topology of networks on the Internet, for purposes like management, efficiency, testing of new protocols and so on. However, ISPs usually do not share the actual topology maps with outsiders; thus, in order to obtain the topology of a network on the Internet, a system must reconstruct it from publicly observable data. The standard method employs tracer...

In this paper we introduce a new notion of generalized metric, called i-metric. This generalization is made by changing the valuation space of the distance function. The result is an interesting distance function for the set of fuzzy numbers of Interval Type with non negative fuzzy numbers as values. This example of i-metric generates a topology in a very natural way, based on open balls. We pr...

LetG be a Polish group, τ a Polish topology on a spaceX, G acting continuously on (X, τ), with B ⊂ X G-invariant and in the Borel algebra generated by τ . Then there is a larger Polish topology τ ⊃ τ on X so that B is open with respect to τ, G still acts continuously on (X, τ), and τ has a basis consisting of sets that are of the same Borel rank as B relative to τ . 1

The GltS Na+/glutamate permease of Escherichia coli is the most extensively studied member of the ESS family of bacterial glutamate:Na+ symporters. This paper presents the membrane topology analysis of the GltS with translational alkaline phosphatase and beta-galactosidase gene fusions generated by TnphoA, nested deletions and targeted fusions. The topology model suggested by the translational ...

The Topology Data Bank of Transmembrane Proteins (TOPDB, http://topdb.enzim.ttk.mta.hu) contains experimentally determined topology data of transmembrane proteins. Recently, we have updated TOPDB from several sources and utilized a newly developed topology prediction algorithm to determine the most reliable topology using the results of experiments as constraints. In addition to collecting the ...