Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-03-155-19
DOI: https://dx.doi.org/10.15863/TAS.2026.03.155.19
Language: Russian
Citation: Zhanatauov, S.U. (2026). Cognitive model of individual and group emotions and calculation of the risks of their change. ISJ Theoretical & Applied Science, 03 (155), 237-253. Soi: https://s-o-i.org/1.1/TAS-03-155-19 Doi: https://dx.doi.org/10.15863/TAS.2026.03.155.19 |
Pages: 237-253
Published: 30.03.2026
Abstract: Modeling of 5 types of variability of stressful emotions (to calculate the levels of 5 types i(d)-risks (individual (digitalization)-risks) of changes in stressful emotions in individuals during digitalization processes) and 5 types of variability of group emotions (to calculate the levels of 5 types of e(i)-risks for groups of individuals-students), depending on the stressful emotions of individuals-students. The influence of individual stressful emotions on emotional consequences - emotional effects manifested in individuals in response to the effects of a particular subset of stressful emotions. A mathematical model of the values of deviations (from 0 to the left, to the right on the axis) and a cognitive model of the dependence of the meaning of one y+–variable on the meanings of several z+-variables (meaning of emotions corresponding to the meanings of variables from 2 sets {y+1,y+2,y+3,y+4,y+5}?{z+1,z+2,z+3,z+4,z+5}, are fabricated in the article [Khrapov, Baeva 2021]. Formulas and values of the types of i(c)-risks and e(i)-risks (in the risk leveling range) depending on their model deviations are modeled. Numerical values of 5 i(c)-risks of change (for stressful emotions), 5 e(i)-risks of change (for emotional effects) are calculated. A mathematical system (of multidimensional algebraic equations) and a cognitive system (of multidimensional semantic equations) form a model of the quantitative dependence of emotional effects (consequences) on individual stressful emotions (causes). Noticeable pair connections - the values of "weights" are highlighted. The criterion for belonging of the type of risk to the “risk-free” type is determined – to the “practically acceptable level of risk of emotions” (PAL). Various interrelated dynamics of 5 y+-deviations of e(i)-risks (depending on z-deviations and i(c)-risks) are visualized in 7 Figures. The analysis and visual assessment of the fact that deviations for e(i)-risks and deviations for i(c)-risks satisfy the criterion of the presence of "leveling the emotional risks of digitalization of the educational space" [Khrapov, Baeva 2021].
Key words: digitalization of the educational space, unmeasured indicators of emotions, deviations of the values of an individual's emotional indicator from zero, calculation of emotional risks, cognitive modeling, system of semantic equations.
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