NDLI: Modeling of subjective judgments made by a researcher-modeler about the model of the research object

Content Provider	Springer Nature Link
Author	Pyt’ev, Yu. P.
Copyright Year	2013
Abstract	Methods are considered for the mathematic modeling of incomplete and unreliable knowledge 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^{\tilde x} $ , $Bel^{\tilde x} $ ), in which the indeterminate element (i.el.) $\tilde x$ characterizes (as an undefined propositional variable) 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 $Pl^{\tilde x} $ of the equality $\tilde x$ = x, and belief $Bel^{\tilde x} $ 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.el. $\tilde x$ and an empirical model (X, P(X), $Pl^{\tilde x} $ , $Bel^{\tilde x} $ ) of the subjective judgments about possible values of x ∈ X.
Starting Page	538
Ending Page	557
Page Count	20
File Format	PDF
ISSN	20700482
Journal	Mathematical Models and Computer Simulations
Volume Number	5
Issue Number	6
e-ISSN	20700490
Language	English
Publisher	Springer US
Publisher Date	2013-11-07
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	plausibility belief measure integral indeterminate random element random indeterminate element intellectual dialogue Mathematical Modeling and Industrial Mathematics Simulation and Modeling
Content Type	Text
Resource Type	Article
Subject	Modeling and Simulation Computational Mathematics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
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