Notice of RetractionReliability analysis of vertical bearing capacity of pile using random-fuzzy entropy principle

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

The fuzziness of the failure process of piles should be given full consideration when analyzing the reliability of vertical capacity of piles. The density function of performance function is calculated by using the non-dimensional calculation module and the maximum entropy principle, which assures the convergence of iteration and makes the calculation results closer to the fact. To overcome the deficiencies of the membership functions which were usually used in practice, a Beta distribution function is proposed in this paper to solve the fuzziness of the failure process of piles. The Beta distribution function not only retains the merits of the membership functions, such as simple form and convenient calculation, but also has its own advantages. Therefore, it is more rational to use the Beta distribution function as the membership function of the failure events of piles. Finally, the entropy density function and the Beta distribution function are employed to calculate the fuzzy failure probability of piles. It is a more rational and effective method to judge the safety of the pile foundation engineering.