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Number of Failures for Weibull Hazard Function with a Fuzzy Shape Parameter
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Abstract.
Number of failures play important role in maintenance strategy for industrial equipment, either repairable or non-repairable ones. There are several form of known distribution
used to model the failures of an industrial equipment. Weibull distribution, and its hazard function, is among the most used distribution. Most maintenance models in literature mainly consider certain or crisp condition ina deterministic form. However, many real phenomena seem do not suitable to model in such certain or crisp condition. One approach to model a possibilistic
uncertainty is by applying the fuzzy number theory. In this paper, we discuss the Weibull hazard function by assuming a fuzzy shape parameter. We look for the number of failures generating by the function using two different methods. The first one assumes that the fuzziness of the shape parameter propagates to the number of failures with the same form offuzzy number membership.
The second one use the fuzziness of the shape parameter in the computation of the number of failures directly, through the concept of alpha-cut or alpha-level. Some comparisons regarding these approaches are presented.
H. Husniah - Personal Name
A. K. Supriatna - Personal Name
Widjajani - Personal Name
Rohmana - Personal Name
A. K. Supriatna - Personal Name
Widjajani - Personal Name
Rohmana - Personal Name
658 HEN n
600
Text
English
2018
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APA Citation
H. Husniah. (2018).Number of Failures for Weibull Hazard Function with a Fuzzy Shape Parameter.(Electronic Thesis or Dissertation). Retrieved from https://localhost/etd