Metadata language
Książka = Book ; KS/1/2002/P05
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:[1-2], 67-80 pages ; 21 cm ; Bibliography p. 79-80
Type of object: Abstract:A stable non stationary linear system is considered. A quality criterion is represented by a functional in the integral form of the sum of positive polynomiaes with respect to the state variables and squared control. lt is proved that the optima[ control is an irrational Junction of polynomial depending on the state variables. The minimum value of performance index can have two forms: the hyperelliptic integral or polynomial depending on the initial state. In the presence of a prior information about the probability distribution that governs the random output of a statistical experiment we use the Bayes decisions methodology for verification of certain statistical hypotheses. In the case of precise statistical data or imprecise data described by a fuzzy information system the existing methodology is sufficient for testing of statistical hypotheses. In this paper we propose a new procedure that can be applied for the generał fuzzy statistical data. Concepts known from of the possibility theory, such as possibility and necessity indices, have been used in order_ to evaluate the correctness of Bayes decisions for imprecisely (e.g. linguistically) defined statistical data.
Relation: Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Creative Commons Attribution BY 4.0 license
Terms of use:Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Digitizing institution:Systems Research Institute of the Polish Academy of Sciences
Original in:Library of Systems Research Institute PAS
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