Research in the Mathematical and Natural Sciences
Vol. 1 No. 2 (2022): May-October 2022

Operasi Cross-Union pada Koleksi Himpunan Koteri Majority

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)



Article Info

Publish Date
22 Jul 2022

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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Journal Info

Abbrev

rmns

Publisher

Subject

Computer Science & IT Education Mathematics

Description

Research in the Mathematical and Natural Sciences (RiMaNs) is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in their research. RiMaNs disseminate new research results in all areas of mathematics and their ...