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Evaluation of reliability using shadowed sets and fuzzy lifetime data
Subtitle:Raport Badawczy = Research Report ; RB/11/2004
Creator: Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:13 pages ; 21 cm ; Bibliography p. 13
Subject and Keywords:Fuzzy sets ; Zbiory rozmyte ; Fuzzy numbers ; Liczby rozmyte
Abstract:The article considers the problem of the evaluation of systems reliability using statistical data coming from the reliability tests of its elements when the life times of the elements are described by the exponential distribution. It is assumed that these lifetime data may be reported imprecisely, and that this lack of precision may be described by fuzzy sets. As the direct application of the fuzzy sets methodology leads, in the considered case, to very complicated and time consuming calculations, simple approximations of fuzzy numbers by the shadowed sets introduced by Pedrycz (1998) have been proposed. The proposed methodology may be simply extended to the case of general lifetime probability distributions.
Relation:Raport Badawczy = Research Report
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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