Object structure

Title:

Interval Based, Non-Parametric Approach for Resampling of Fuzzy Numbers

Subtitle:

Raport Badawczy = Research Report ; RB/4/2017

Creator:

Romaniuk, Maciej Piotr. Autor ; Hryniewicz, Olgierd. Autor

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2017

Description:

60 pages ; 21 cm ; Bibliography p. 60

Subject and Keywords:

Fuzzy numbers ; Liczby rozmyte ; Monte carlo methods ; Alpha-cuts ; Cięcia alfa ; Resampling method ; Metoda ponownego próbkowania ; Bootstrap ; Generation of fuzzy numbers ; Generowanie liczb rozmytych

Abstract:

In the paper we propose two new non-parametric methods for the simulation of bootstrap-like samples of fuzzy numbers. The generated secondary samples are based on an input set consisting of LFRNs (Left-Right Fuzzy Numbers). The proposed approaches utilize Monte Carlo method in a way, which, to some extent, resambles a bootstrap. However, contrary to the classical bootstrap approach, the discussed methods are based on alpha-cuts of fuzzy numbers, which are generated in a new non-parametric way. Therefore, these procedures give us an opportunity to create "not exactly the same as previous" fuzzy numbers, and also lead to greater variability of the obtained output.

Relation:

Raport Badawczy = Research Report

Resource Type:

Report

Source:

RB-2017-04

Language:

eng

Language of abstract:

eng

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

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

×

Citation

Citation style: