Content area

Abstract

It is shown that the combined use of fuzzy logic and chaos theory provides a convenient approach to the simulation of the dynamics of system reliability in the space of parameters related to failure causes. Based on a combination of the membership functions and the chaos generator in the form of the logistic map, bifurcation diagrams for the system reliability with validation and correction are obtained. It is proved that an increase in the multiplicity of validation and improvement of its quality put off the onset of the first bifurcation causing the loss of reliability and decreases the size of the orbit around which the reliable state membership level fluctuates. The multiplicity of validation optimization problem under the condition of the parameter chaotic fluctuations is stated; an example of the solution of this problem is discussed. The possibility of designing chaos stable systems with the pre-scribed reliability level is justified.[PUBLICATION ABSTRACT]

Details

Title
Integration of the fuzzy logic with chaos theory approaches in simulation and optimization of reliability
Author
Rotshtein, A P
Pages
549-559
Publication year
2012
Publication date
Jul 2012
Publisher
Springer Nature B.V.
ISSN
10642307
e-ISSN
1555-6530
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
1037279218
Copyright
Pleiades Publishing, Ltd. 2012