Method of estimation of cusp catastrophe occurrence possibility based on limited statistical information

Autor:	Igor Skobtsov, V. N. Shilovskiy
Rok vydání:	2020
Předmět:	Estimation Computer science Cusp (anatomy) Statistical physics
Zdroj:	IOP Conference Series: Earth and Environmental Science. 574:012073
ISSN:	1755-1315 1755-1307
DOI:	10.1088/1755-1315/574/1/012073
Popis:	This paper deals with the improvement of probabilistic methods of design by using the catastrophe theory and the possibility theory application. A brief description of the catastrophe theory is presented, the cusp catastrophe is considered, control parameters are viewed as fuzzy variables with unknown distribution laws in the first part of the paper. The definition of the possibility measure of the cusp catastrophe occurrence is given in the second part of the paper. The condition of the cusp catastrophe occurrence is formulated according to Zadeh’s extension principle. The proposed method can be applied to solve the problems of the technical systems reliability and to give recommendations for engineering of forest machine and equipment elements in the case of limited statistical information.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9b0c69e764a91f575ec6cd46156425a9 https://doi.org/10.1088/1755-1315/574/1/012073 Zobrazit plný text záznamu