modeling is one of the most interesting areas in various fields of science. unfortunately data quality, which has an important role in the modeling, is not considered. in fact, most often processes encounter disturbances which results in the collection of abnormal data and may lead to a model different from the real behavior of the process. on the other hand, most of real industrial processes a...

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...