Modeling of Subjective Judgments Made by a Researcher -Modeler about the Model of the Research Objectстатья Перевод Электронная публикация

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[1] Pyt'ev Y. P. Modeling of subjective judgments made by a researcher -modeler about the model of the research object // Mathematical Models and Computer Simulations. — 2013. — Vol. 5, no. 6. — P. 538–557. Methods are considered for the mathematic modeling of incomplete and unreliable knowl edge about the model M(x) of the research object expressed in the form of subjective judgments made by the researcher-modeler (r-m) about the possible values of the unknown parameter x ∈ X defining the model. The mathematical model of subjective judgments is defined as the space (X, P(X),Pl), in which the indeterminate element (i.el.) characterizes (as an undefined propositional vari able) the subjective judgments made by the r-m about the validity of each value x ∈ X by the values of measures such as the plausibility of the equality = x, and belief in the inequality tilde{x} ≠ x. If there are observational data on the subject, available to the r/m he can use them to construct an empirical estimate of the i.e. and an empirical model (X, P(X),Pl,Bel ) of the subjective judgments about possible values of x ∈ X. Keywords: plausibility, belief, measure, integral, indeterminate random element, random indeterminate element, intellectual dialogue. [ DOI ]

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