Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682211120200101Modelling the Cognitive Financial Group Interconnected Risk Network259276427510.22075/ijnaa.2020.4275ENMahboobeh.EzzodinDepartment of Mathematics, Faculty of Mathematics, Statistics & Computer Science, Semnan University, IranAlireza.BahiraieDepartment of Mathematics, Faculty of Mathematics, Statistics & Computer Science, Semnan University, IranA. K. M.AzharInstitute for Mathematical Research, University Putra Malaysia, Serdang, Selangor, MalaysiaJournal Article20190305In this paper, the new methodology of interconnection network among the various corporations which<br />are the members of a single nancial group is studied and developed. For the rst time, each company<br />is observed individually and the cognitive risk factors of each are monitored by new introduced<br />indexes. The risk contagion effect on the main node of the holding is calculated respectively. The<br />new indexes help the management to monitor the entire nancial group performance. Also guide the<br />main node of the holdings to make appropriate decisions relating to any investment, prot returning<br />and risk of the nancial group nodes. It is shown, if a company defaults to meet its obligations,<br />how much this will affect the other companies of the network and the main node of the holding.<br />With the use of new developed methodological indexes, the topology of the nancial group network<br />is displayed graphically for the rst time and the mathematical structure is developed as well.<br />Finally, the illustrative results are apparent in a new introduced software which is coded and tested<br />with real data and the results show high accuracy.https://ijnaa.semnan.ac.ir/article_4275_a9faea65eb98ebed4ea70edf50a81fcc.pdf