Reliability of fuzzy systems evaluation methodology using different types of vague sets

Authors

  • A. A. Kosolapov Dep. “Computer Engineering”, Dnepropetrovsk National University of Railway Transport named after Academician V. Lazaryan, Ukraine

DOI:

https://doi.org/10.15802/stp2013/11375

Keywords:

fuzzy reliability, fuzzy sets, vague sets, membership function of true (MFT), membership function of lies (MFL), table models

Abstract

Purpose. Development of the reliability calculating methodology of fuzzy systems with components, reliability parameters of which are described by the membership functions of various kinds. Methodology. Systematic analysis of the known approaches to the assessment of the reliability of fuzzy systems with vague boundaries and different kinds of membership functions. Findings. A unified description and the new tabular algorithm of various arithmetic operations run between the various types of fuzzy sets are proposed and tabular methods of reliability analysis of the basic structures of fuzzy systems are developed. Originality. A generalized description of triangular and trapezoid-shaped accessory functions of fuzzy boundaries in a special tuples is introduced, analytical expressions for the formation of tabular schedules of their functions and the calculation of the reliability of fuzzy systems with complex structures are obtained: sequential, redundant - parallel, serial-parallel, parallel-serial. The practical value.The obtained models and tabular algorithms simplify the calculations of the reliability of complex electro-mechanical human-machine automation systems with fuzzy parameters and vague boundaries.

 

 

Author Biography

A. A. Kosolapov, Dep. “Computer Engineering”, Dnepropetrovsk National University of Railway Transport named after Academician V. Lazaryan

Lazaryan Str. 2, 49010 Dnepropetrovsk, Ukraine, tel./ fax +38 (050) 575 05 32, e-mail akanarsky@mail.ru

References

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Published

2013-04-25

How to Cite

Kosolapov, A. A. (2013). Reliability of fuzzy systems evaluation methodology using different types of vague sets. Science and Transport Progress. Bulletin of Dnipropetrovsk National University of Railway Transport, (2(44), 17–27. https://doi.org/10.15802/stp2013/11375

Issue

Section

AUTOMATED AND TELEMATIC SYSTEMS ON TRANSPORT