Operasi Cross-Union pada Koleksi Himpunan Koteri Majority

Authors

  • Armayani Arsal Program Studi Matematika, Jurusan Matematika, Universitas Negeri Gorontalo, Bone Bolango 96119, Indonesia
  • Setia Ningsih Program Studi Statistika, Jurusan Matematika, Universitas Negeri Gorontalo, Bone Bolango 96119, Indonesia

DOI:

https://doi.org/10.55657/rmns.v1i2.61

Keywords:

Quorum, Majority Coterie, Non-Dominated Majority Coterie, Cross-Union Operation

Abstract

Coterie is a collection of sets called quorum which satisfies that any two sets have a non-empty intersection and are not property contained in one another. Based on topology, there are many types of coterie, for example, majority coterie. The majority coterie is a type of coterie with more availability than others to solve the problem of a distributed system. There are two types of majority coterie, dominated and non-dominated. The coterie join algorithm is an easy way to construct a new coterie with sizes larger quorum. In this study, we define a union operation for a majority coterie, called a cross-union operation. Then we prove that by using this algorithm, a new coterie is non-dominated if and only if the initial coteries are non-dominated.

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Published

22-07-2022

How to Cite

[1]
A. . Arsal and S. . Ningsih, “Operasi Cross-Union pada Koleksi Himpunan Koteri Majority”, Res. Math. Nat. Sci., vol. 1, no. 2, pp. 17–21, Jul. 2022.