Cai Kai-Yuan

TL;DR: The binary-state assumption is reserved and the possibility assumption is taken in place of the probability assumption, and a theory of fuzzy reliability (i.e., posbist reliability theory) is established.

TL;DR: The posbist reliability theory is based on the possibility assumption and the binary-state assumption as mentioned in this paper, and it is shown that for each typical system, the Posbist system reliability is bounded by the minimum and the maximum of the posbists component reliabilities.

TL;DR: In this paper, the concept of fuzzy success/failure (state) is introduced to represent the system structure, the performance and other considerations (e.g. cost), and the transition from fuzzy success to fuzzy failure is viewed as a fuzzy event.

TL;DR: This paper discusses posbist reliability behaviour of fault-tolerant systems, including cold redundant systems and warm redundant systems, and expresses the system posbists reliability in terms of a system lifetime.

TL;DR: This paper uses deterministic survivability indices to define fuzzy reliability and thus the concept of fuzzy survivability is produced and Maintenance is shown to have significant effects on the fuzzy Survivability.

TL;DR: The binary-state assumption is reserved and the possibility assumption is taken in place of the probability assumption, and a theory of fuzzy reliability (i.e., posbist reliability theory) is established.

TL;DR: The use of fuzzy number over interval of confidence instead of probability, and possibilitic considerations for evaluating the range value and interval of the fuzzy reliability is proposed.

TL;DR: This paper proposes a new method to determine the membership function of the estimates of the parameters and the reliability function of multi-parameter lifetime distributions, and shows the effectiveness of this method with normal and Weibull distributions.

TL;DR: A new method to analyze fuzzy system reliability using fuzzy number arithmetic operations, where the reliability of each system component is represented by a triangular fuzzy number.

TL;DR: This paper considers the multi-objective reliability redundancy allocation problem of a series system where the reliability of the system and the corresponding designing cost are considered as two different objectives and a fuzzy multi- objective optimization problem (FMOOP) is formulated from the original crisp optimization problem.