Modelling systems by hypergraphs

Gazdík, Igor

doi:10.1108/03684920610662665

Cited by 9 publications

(4 citation statements)

References 16 publications

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“…The actual models presented in the article have a much more limited ambition (fortunately), yet lack a clearly formulated hypothesis. Network theory, indeed, is a very promising tool for modeling systems (Backlund, 2000;Gazdík, 2006). The ''semantic network'' presented by the authors, however, is a heterogeneous collection of abstract concepts (Creation), actions (Cemetery rituals), and social institutions (Village Government), partly connected to cognitive processes (Promiscuous teleology), and complex behavioral patterns (Hazard precaution).…”

Section: Religion Brain and Behavior 203mentioning

confidence: 98%

The role for simulations in theory construction for the social sciences: case studies concerning Divergent Modes of Religiosity

Whitehouse

Kahn

Hochberg

et al. 2012

Religion, Brain & Behavior

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Section: Religion Brain and Behavior 203mentioning

confidence: 98%

The role for simulations in theory construction for the social sciences: case studies concerning Divergent Modes of Religiosity

Whitehouse

Kahn

Hochberg

et al. 2012

Religion, Brain & Behavior

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“…Hypergraphs can be used to analyze multi-layer heterogeneous networks. A network that can be described by a hypergraph is a hypernetwork [27,28]. A component of the machining center has multiple fault modes, and a fault mode may occur in multiple components.…”

Section: Construction Of Component Fault Mode Hypernetworkmentioning

confidence: 99%

Risk Evaluation Method Based on Fault Propagation and Diffusion

Mu,

Zhang,

Zhang

2023

Mathematics

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The high reliability demand of the machining center emphasizes the accuracy of the fault risk evaluation. In the traditional fault risk evaluation research of the machining center, the influence of fault mode is mostly based on subjective recommendation or does not consider the propagation and diffusion of fault, which makes the risk evaluation results different from the real situation. Therefore, this paper presents a framework to evaluate the fault risk for machining center components. A certain type of machining center is considered as a case study. The fault mode frequency ratio of components is calculated by fault mode analysis. The fault rate calculation is conducted based on the Johnson method. Considering that different fault modes have different influences on fault propagation breadth and depth, the hypergraph theory is used to build a hypernetwork model. The propagation and diffusion influence degree are defined to describe the propagation and diffusion process of faults. Then, the comprehensive influence degree of fault mode is calculated. The risk evaluation is realized by considering the component fault rate, fault mode frequency ratio, and the comprehensive influence degree of fault mode. The method proposed in this paper can provide a reference for the formulation of risk strategies for the machining center.

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“…Analytical representation in the matrix form can be comfortably used by the computer and easily modified according to the needs of a particular system. The analysis of modern graph approaches shows that hypergraph has to be considered as one of the most adaptable tools for modelling systems as it provides additional capabilities to determine the set of variables relevant to each relationship as a single hypergraph edge covers all the variables involved in particular interaction (Gazdík, 2006). However, the hypergraph does not provide enough information to determine outputs and inputs in each relationship.…”

Section: Graph Theorymentioning

confidence: 99%

A novel graph-based modelling approach for reducing complexity in model-based systems engineering environment

Filimonov

Oraifige

Vijay

2020

IJSSE

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Field of systems engineering is developing rapidly and becoming more complex, where multiple issues arise like overcomplexity, lack of communication or understanding of the design process. Model-based systems engineering (MBSE) has been introduced to overcome these issues and reduce systems complexity. Nonetheless, the system model remains static and the interactions among submodels are modelled in the form of hard-coded rules. Therefore, systems interaction in MBSE is not dynamic enough to satisfy the evolving nature of system models with growing complexity.In this paper, a novel approach for modelling logic is proposed to address the above challenge.The aim of the research is to improve existing methodologies and interaction modelling as well as deal with inconsistencies. The approach is based on graph theory, where pre-defined rules and relationships are substituted and reorganised dynamically with graphical constructs while metagraphs being the most applicable for systems modelling. Framework for reducing complexity is presented.

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Modelling systems by hypergraphs

Cited by 9 publications

References 16 publications

The role for simulations in theory construction for the social sciences: case studies concerning Divergent Modes of Religiosity

The role for simulations in theory construction for the social sciences: case studies concerning Divergent Modes of Religiosity

Risk Evaluation Method Based on Fault Propagation and Diffusion

A novel graph-based modelling approach for reducing complexity in model-based systems engineering environment

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