Construction of (h,k)-Coterie Quorum System Based on Majority Coterie

Abstract

Abstract Quorum system of (h, k)-majority coterie is a set system which elements are a collection of sets k-coterie provided that each element satisfies bicoterie and disjoint properties. Some of related studies have tried to make the construction of this quorum system but constrained by the problem of generalization. In this paper, to overcome the problem we first compile an equation to determine the size of quoru m. Then we arrange quoru ms that satisfies the equation in a quorum system. The way are (a) divide the universe set into m parts so that h parts are separated, (b) construct a quorum that satisfie k-coterie, (c) construct a quorum system that satisfie bicoterie and disjoint properties.