Convergence of Multiset Sequences

Abstract

In this paper, we introduce the concept of the multiset sequence and its convergence. A few special examples of multiset sequences, e.g. a prime identifier, are also given. A metric is defined in multisets for statistical convergences of multiset sequences. Wijsman and Hausdorff convergence of multiset sequences are discussed.

Keywords

• Multiset
• multiset sequence
• prime identifier sequence
• set theoretic limit
• Wijsman convergence
• Hausdorff convergence

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