A generalization of the three modules theorem
type: Item
instance of: scholarly article
title: A generalization of the three modules theorem
zbMATH Open document ID: 0597.90096
author: B. George
published in: Opsearch
publication date: 1985-01-01T00:00:00Z
review text: A simple game is conceptually equivalent to a coherent system in reliability theory. The characterization of modular sets of coherent systems and simple games has been extensively investigated. In a recent paper, based on analogy with graph theory and matroids, an operation called contraction was introduced for simple games as well as coherent systems. Using contraction, a new characterization for modular sets was given by the authors [ibid. 21, 167-171 (1984; Zbl 0553.90106)]. In this paper, we again make use of contraction to obtain yet another characterization for modular sets.
Mathematics Subject Classification ID: 91A12
Mathematics Subject Classification ID: 90B25
zbMATH DE Number: 3963602
zbMATH Keywords: simple game
zbMATH Keywords: modular sets
zbMATH Keywords: coherent systems
zbMATH Keywords: contraction
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3963602