The use of fuzzy mathematics in subjective uncertainty analysis

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We have been investigating the applicability of fuzzy mathematics in safety assessments (PSAs). It is a very efficient approach, both in terms of methodology development time and program execution time. Most importantly, it processes subjective information subjectively, not as if it were based on measured data. One of the most useful results of this work is that we have shown the potential for significant differences (especially in perceived margin relative to a decision threshold) between fuzzy mathematics analysis and conventional PSA analysis. This difference is due to subtle factors inherent in the choice of probability distributions for modeling uncertainty. Since ... continued below

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2 p.

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Cooper, J.A. June 1, 1996.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

We have been investigating the applicability of fuzzy mathematics in safety assessments (PSAs). It is a very efficient approach, both in terms of methodology development time and program execution time. Most importantly, it processes subjective information subjectively, not as if it were based on measured data. One of the most useful results of this work is that we have shown the potential for significant differences (especially in perceived margin relative to a decision threshold) between fuzzy mathematics analysis and conventional PSA analysis. This difference is due to subtle factors inherent in the choice of probability distributions for modeling uncertainty. Since subjective uncertainty, stochastic variability, and dependence are all parts of most practical situations, a technique has been developed for combining the three effects. The methodology is based on hybrid numbers and on Frechet inequality dependency bounds analysis. Some new results have also been obtained in the areas of efficient disjoint set representations and constrained uncertainty and variability analysis.

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2 p.

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OSTI as DE96010554

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  • 6. annual Energy Facility Contractors Group (EFCOG) safety analysis workshop on doing the right thing, Knoxville, TN (United States), 5-7 Jun 1996

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  • Other: DE96010554
  • Report No.: SAND--96-1137C
  • Report No.: CONF-9606114--9
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 240470
  • Archival Resource Key: ark:/67531/metadc672893

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  • June 1, 1996

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

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  • April 14, 2016, 9:08 p.m.

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Cooper, J.A. The use of fuzzy mathematics in subjective uncertainty analysis, article, June 1, 1996; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc672893/: accessed January 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.