مقارنة بعض طرائق تقدير دالة المعولية الضبابية == Compared To Some of The Methods of Estimating Fuzzy Reliability Function
Author name:
ليث فاضل سيد حسين النعيمي
Supervisor name:
انتصار عريبي فدعم الدوري
General topic:
Administration and Economics
Specific topic:
Statistics
Degree:
Master
University:
University of Baghdad - Faculty Of Administration And Economics - Department Of Statistics
Language:
Arabic
University location:
Baghdad
First pages:
07T3984 - p.pdf
Abstract:
عند احتساب اوقات الفشل للمكائن والمعدات نلاحظ بانها تكون غير مؤكدة او ضبابية في اغلب الاحيان وعلى اساس المركبة او النظام لهذا تناولت هذه الرسالة تقدير دالة المعولية الضبابية في حالة المركبة والانظمة المفردة (المتسلسلة والمتوازية) وباستعمال ثلاث طرائق هي : | When calculating the failure times of the machines and equipment note that it is fuzzy or uncertain in more often on the basis of the component or system to this paper this estimate fuzzy reliability function in the component case and series and parallel system by using three methods are : First, the conventional method : Under this method has been used the failure function and a new membership function of beta type be more flexible in statistical applications, according to this method was derived estimators fuzzy reliability function for series and parallel systems. Second, The number fuzzy method (A ) ?(i - v) level (1 - ?, 1 - ?) based on the confidence limits : one of the methods in which based on in estimation on the mean and standard deviation of the times of the failure of the machinery and equipment and give fuzzy reliability function estimate both serial and parallel systems confidence limits are to be used to fuzzy numbers two levels (1 - ?, 1 - ?).Third, the Signed distance method : good methods that give estimating fuzzy reliability function for both systems are similar to estimate the point.That the methods above give estimate reliability Blur function for both systems was a comparison between the advantage of these capabilities and employ the style of simulation manner Monte Carlo (Monte - Carlo) by writing software language application (Matlab) and the experiences and sizes of different samples and both systems were relying on mean square error (MSE) of the comparison between the estimation methods Vtm reach a predestined way normal preference, showing through the mean square error (MSE) that showed a nuance in between estimator ways : how many The number fuzzy method (A ) ?(i - v) level (1 - ?, 1 - ?) and the way the Signed distance method of the fact that the way The number fuzzy method (A ) ?(i - v) level (1 - ?, 1 - ?) based at its sole discretion to Tabulated values of the distribution (t) and that way the distance indicator based on the indicators way above, for this from the perspective of the researcher, all estimation methods are considered good and can be used in the approved equipment and machinery in their production productive companies.In the practical side researcher has used real data for the purpose of estimating reliability function of the system and fuzzy sequential function reliability of the system parallel Blur, adopted by the General Company for Electrical Industries of the Ministry of Industry and Minerals in Baghdad records.