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Fuzzy criterion set and its membership function: Gear transmission design is based on the allowable value of stress [s]. As a criterion space, it is the main basis for fuzzy reliability design of design decision.
In the conventional design of powder S<(S) in reliability design, the reliability of the strength is R=P(S<[S]). We choose a specific element from the criterion space. Criterion, to check and judge whether the design meets the requirements. At this point, the elements that are the criteria are clear and unique.
For example, in the criterion of gear contact strength sH<[sH], when the gear material is 45# steel quenched and tempered, the allowable contact stress [sH]=550 MPa is selected, and according to the regulation, when the stress S=550 MPa, The design meets the requirements, and when S = 55lMPa, it is not allowed.
But in fact, the stress is a random variable, and there is no essential difference between the two. Moreover, there is a ambiguous state between the full permit and the complete disapproval. Therefore, the allowable value as a criterion is not a certain elemental liquid turbine flowmeter, but a fuzzy set.
In the criterion space, a group of elements with continuous value are eligible as the criterion. The qualifications of the group can be used as the fuzzy criterion to satisfy the design requirements. The function can be described by a linear function whose expression is S(ab-sb-a0ab-S, where the parameters a, b can be determined from the data provided by the test data or the design data.
