Fuzzy system reliability design method in combination with modal interval algorithm

Abstract

The present invention relates to a fuzzy system reliability design method in combination with a modal interval algorithm. The method comprises the following steps of: 1. defining operations of fuzzy numbers; 2. judging multiple events and carrying out derivation on the multiple events and the sub-events of the multiple events; 3. judging whether the monotonicity of the multiple events is consistent with the monotonicity of the sub-events of the multiple events, and separately performing modal interval analysis by using coercive optimal and partial coercive optimal theories; 4. performing calculation according to a modal interval operation rule; 5. performing calculation to obtain an interval reliability index, security possibility degree and invalidation possibility degree of a system for reliability design of the system; 6. determining whether the reliability design of the system is performed in a serial, parallel or serial-parallel manner, and if so, performing the next step, or otherwise, ending; 7. performing modal interval analysis in the same method as the steps 2 to 4 so as to obtain the accurate security possibility degree and invalidation possibility degree of the system; and 8. determining the design reliability of the fuzzy system according to an actual requirement. According to the method, the correctness of the system reliability design is improved and the calculation amount is reduced.

Description

technical field [0001] The invention relates to the technical field of structural reliability design, in particular to a fuzzy system reliability design method combined with a modal interval algorithm. Background technique [0002] In 1965, the publication of "Fuzzy Sets" marked the birth of fuzzy theory. Since then, fuzzy mathematics has developed rapidly and has been widely used in various engineering fields. Different from traditional mathematical algorithms, fuzzy numbers have their own algorithms for addition, subtraction, multiplication, and division, as well as the corresponding simplification process. [0003] Structural reliability assessment is very necessary for practical engineering and can effectively guarantee the safe operation of structures. Structural system reliability is usually defined as: under the specified service conditions and environment, during a given service life, the structural system can effectively bear the load and withstand the environment...

AI Technical Summary

Problems solved by technology

However, the truncation criterion of the improved interval truncation method is not easy to determine, and the calculation results are greatly affected by the criterion

Combination methods and optimization methods have problems such as large amount of calculation and application limitations, so it is necessary to find a method that is more suitable for fuzzy reliability estimation

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