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On Dynamic Multisets and their Operations

Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria.

Department of Mathematics, University of Agriculture, P.M.B. 2373, Makurdi, Nigeria.

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (3),
284-292.
https://doi.org/10.62072/acm.2021.040308
Received: 21 November 2021 |
Accepted: 21 December 2021 |
Published: 31 December 2021

Abstract

The concept of multisets emerged by violating a principle of distinct collection of object in crisp sets. In some practical situations, multisets with multiplicity of their objects varying overtime are frequently encountered, such multisets are called dynamic multisets. However, there has been no formal mathematical study on dynamic multisets. Dynamic multiset is a special kind of multiset with time varying multiplicity of elements. The importance of dynamic multisets stems from their potential usefulness in resolving a task of finding duplicate records within large databases. In this paper, we vividly explore the concept of dynamic multisets and present some of its properties. We observe that, the operations on dynamic multisets are the same as that of static multisets, with the time parameter as the only distinction. Finally, some application-driven examples of dynamic multisets are presented.

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Cite This Article

On Dynamic Multisets and their Operations.

Annals of Communications in Mathematics,

2021,
4 (3):
284-292.
https://doi.org/10.62072/acm.2021.040308
  • Creative Commons License
  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).

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