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Original Articles

Combination of Qualitative and Quantitative Sources of Knowledge for Risk Assessment in the Framework of Possibility Theory*

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Pages 133-151 | Received 17 Jan 2003, Accepted 09 Feb 2003, Published online: 26 Jan 2007

References

  • Dempster , A . 1967 . Upper and lower probabilities induced from a multivalued mapping . Annal. Math. Stat. , 38 : 325 – 339 .
  • Dubois , D and Prade , H . 1987 . The mean value of fuzzy number . Fuzzy Sets Syst. , 24 : 279 – 300 .
  • Dubois D Prade H 1988 Possibility Theory, an Approach to Computerized Processing of Uncertainty Plenum New York
  • Dubois D Prade H Sandri S 1991 On possibility–probability transformations, Proceedings of the Fourth IFSA Conference, Mathematics Brussels 50 53
  • Gertman DI Blackman HS 1993 Human Reliability and Safety Analysis Data Handbook 3rd Ed. John Wiley and Sons
  • Goodman IR 1982 Fuzzy sets as equivalence classes of random sets Yager RR Recent Developments in Fuzzy Sets and Possibility Theory Pergamon Press New York 327 432
  • Heilpern , S . 1992 . The expected value of fuzzy number . Fuzzy Sets Syst. , 47 : 81 – 86 .
  • Klir , GJ . 1990 . A principle of uncertainty and information invariance . Int. J. Gen. Syst. , 17 : 249 – 275 .
  • Klir GJ Wierman M 1998 Uncertainty Based Information. Elements of Generalized Information Theory Physica-Verlag
  • Lasserre VG Maurris L Foulloy L 1997 A simple probability–possibility transformation for measuring error representation: a truncated triangular transformation Proceedings of IFSA Conference Prague
  • Littlewood B Strigini L 2000 Software reliability and dependability: a Roadmap Finkelstein A Proc. ICSE 2000, the 22nd ACM Press 177 188
  • Nguyen , HT . 1978 . A note on the extension principle on the fuzzy sets . J. Math. Ann. Appl. , 64 : 369 – 380 .
  • Oussalah M 2000 Possibility/probability transformations: a comparative analysis Int. J. Gen. Syst. 29 5 671 718
  • Oussalah M 2002 On the compatibility between defuzzification and fuzzy arithmetic operations Fuzzy Sets Syst. 128 2 247 260
  • Oussalah M Newby M 2002 Analysis of serial/parallel systems in the framework of fuzzy/possibility approach. Part I. Appraisal: case of independent components Reliab. Eng. Syst. Saf. 79 3 353 368
  • Oussalah M Newby M Littlewood B Strigini L 2001 Combination of qualitative and quantitative sources of knowledge for risk assessment Proceedings of Eusflat, International Conference on Fuzzy Logic and Applications De Montfort University Leicester, UK 418 421
  • Shackle GL 1961 Decision, Order and Time in Human Affairs Cambridge University Press Cambridge
  • Smithson M 1989 Ignorance and Uncertainty Springer-Verlag
  • Villemeur A 1992 Reliability, Availability, Maintainability and Safety Assessment. Methods and Techniques John Wiley and Sons
  • Wu , JS , Apostolakis , GE and Okrent , D . 1990 . Uncertainties in system analysis: probabilistic versus nonprobabilistic theories . Reliab. Eng. Syst. Saf. , 30 : 163 – 181 .
  • Zadeh , LA . 1978 . Fuzzy sets as a basis for a theory of possibility theory . Fuzzy Sets Syst. , 1 : 3 – 28 .

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