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The set also included randomized oligonucleotides and bacterial sequences as negative control and multiple sequenced of sets of house-keeping genes as positive control.
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Let be a sequence of sets in.
Their partially ordered plans can be represented as sequences of sets of actions.
We shall denote the set of all bounded sequences of sets by (L_{infty}^{prime}).
Recall Kuratowski's notion of lower and upper limits of sequence of sets.
First, we slightly review the definitions of limits of sequences of sets and their properties.
For more work on convergence of sequences of sets one may refer to [21 30].
Let us assume that there exists an increasing sequence of sets such that.
In this way, we define the sequence of sets Θ n, n = 1, 2,...
such that (2.2). for any disjoint sequence of sets in whose union is also in.
Nuray and Rhoades [21] extended the notion of Wijsman convergence of sequences of sets to that of Wijsman statistical convergence of sequences of sets, and gave some basic theorems.
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