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It identifies multi-link connections and the transmission of influence as key structural elements, and shows that computer simulations help explain the dynamics of the process. The work also develops dynamical system models for evolving variable states, linking influence diagrams to algebraic concepts and enabling deeper interpretation of how event values change over time.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/using-influence-diagrams-as-a-tool-for-decision-making/665379/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/using-influence-diagrams-as-a-tool-for-decision-making/665379.png","ImageObject",300,407,{"name":92,"@type":93},"sagouaw","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-29",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is an influence diagram and what does it represent in decision making?","Question",{"text":112,"@type":113},"An influence diagram is a network of nodes representing events, connected by directed links that indicate direct influence between events. Each event has an associated value or state whose modification is affected by influences from other events.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are positive and negative influences characterized in the diagrams?",{"text":117,"@type":113},"A positive influence means improvement in the first event tends to improve the recipient event’s state. A negative influence produces the reverse effect, where changes in the first event reduce the recipient event’s state.",{"name":119,"@type":110,"acceptedAnswer":120},"How do computer simulations and dynamical system models contribute to understanding the process?",{"text":121,"@type":113},"Computer simulations are valuable for understanding how influence propagates through the network. Dynamical system models of evolving variable states then connect influence diagrams to algebraic concepts, supporting interpretation of the overall decision-making structure.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},665379,1793301847,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":14,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":129,"read_time":26},3985747862151,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","ANZIAM J. 52 (MISG2010) pp. M147{M170, 2011 M147  \nUsing in􀀍uence diagrams as a tool for decision  \nmaking  \nWinston L. Sweatman 1 Graeme C. Wake2  \nHaydn Cooper3  \n(Received 20 October 2010; revised 17 October 2011)  \nAbstract  \nThis mathematics in industry project explores in􀀍uence diagrams as tools for decision making. Multi-link connections and transmission of in􀀍uence are identi􀀌ed as important. Computer simulations prove valuable for understanding the process. Dynamical system models of evolving variable states relate in􀀍uence diagrams to algebraic concepts.  \nContents  \n1 Introduction M148  \n2 De􀀌nition and background M149  \n[http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/3572](http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/3572)  \n[gives this article](gives this article), 􀀍c Austral. Mathematical Soc. 2011. Published October 25, 2011 . issn 1446-8735. (Print two pages per sheet of paper.) Copies of this article must not be made otherwise available on the internet; instead link directly to this url for this article.  \n1 Introduction M148  \n3 Potential uses of in􀀍uence diagrams M150  \n4 Transmission of in􀀍uence M151  \n5 Computer simulation and illustration M153  \n6 The underlying dynamical system M161  \n6.1 Formalisation ......................... M164  \n6.2 Progression of in􀀍uence .................... M165  \n6.3 Continuous formulation .................... M166  \n7 Discussion and conclusions M167  \nReferences M169  \n1 Introduction  \nAn in􀀍uence diagram is a tool used in decision making. It consists of a network of nodes representing events joined by directed links that represent the direct in􀀍uence between events. The overall purpose of the Mathematics and Statistics in Industry Study Group (misg) project was to explore such structures, to analyse them and to consider their interpretation. The industry representatives from the Defence Science and Technology Organisation (dsto) encouraged open ended discussion. The initial approach was open minded, and not too focused, in order to think about a variety of ideas and generic concepts. Later in the week some basic assumptions were made to explore an illustrative system; however, this can be readily extended to more general situations within the context of in􀀍uence diagrams.  \nSection 2 begins by de􀀌ning what we mean by an in􀀍uence diagram. Considering in􀀍uence diagrams, and relating to the work of dsto, a number of potential uses are identi􀀌ed. These are discussed in Section 3. The group conducted new investigations of its own involving computer simulations. These  \n2 De􀀌nition and background M149  \nwere instructive and insightful and suggested new tools and approaches for interpreting in􀀍uence diagrams. Section 5 gives information on this investigation. Partly inspired by the computational simulations, in􀀍uence diagrams are shown to relate to dynamical systems and are given an algebraic underpinning in Section 6. Section 7 concludes.  \n2 De􀀌nition and background  \nAn in􀀍uence diagram is a tool used in decision making [7] . The general structure is a set of nodes linked together by directed paths (Figure 1) . As such they are immediately comparable (as a mathematical structure) to a graph or 􀀍ow diagram.  \nThe nodes represent events, in a very general sense, and a directed arc linking two events indicates that one event in􀀍uences the other other event. For each event there is an associated value indicating a strength or state. This is modi􀀌ed by the in􀀍uence of other events. The in􀀍uence passed along links between events may be known to di􀀋ering degrees of precision. It may beidenti􀀌ed qualitatively or quantitatively. Likewise, the value associated with an event (event value) may be known qualitatively or quantitatively.  \nFor illustration, the in􀀍uence diagram shown in Figure 1 could be associated with the sport of rugby. Event 1 is the outcome that the All Blacks beat the Wallabies in the current Bledisloe Cup match between New Zealand and ","cbCaivQUdP1hnaCF","https://ap.wps.com/l/cbCaivQUdP1hnaCF","pdf",1000120,24,"English","# Introduction\n## Definition and background\n## Potential uses of influence diagrams\n## Transmission of influence\n## Computer simulation and illustration\n## The underlying dynamical system\n### Formalisation\n### Progression of influence\n### Continuous formulation\n# Discussion and conclusions\n## References","[{\"question\":\"What is an influence diagram and what does it represent in decision making?\",\"answer\":\"An influence diagram is a network of nodes representing events, connected by directed links that indicate direct influence between events. Each event has an associated value or state whose modification is affected by influences from other events.\"},{\"question\":\"How are positive and negative influences characterized in the diagrams?\",\"answer\":\"A positive influence means improvement in the first event tends to improve the recipient event’s state. A negative influence produces the reverse effect, where changes in the first event reduce the recipient event’s state.\"},{\"question\":\"How do computer simulations and dynamical system models contribute to understanding the process?\",\"answer\":\"Computer simulations are valuable for understanding how influence propagates through the network. Dynamical system models of evolving variable states then connect influence diagrams to algebraic concepts, supporting interpretation of the overall decision-making structure.\"}]","Using influence diagrams as a tool for decision making | PDF"]