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Volumn 45, Issue 1, 2007, Pages 82-105

Joint propagation of probability and possibility in risk analysis: Towards a formal framework

Author keywords

Fuzzy random variables; Independence; Possibility distributions; Random sets

Indexed keywords

FUZZY SETS; INFORMATION RETRIEVAL; RANDOM VARIABLES; RISK ANALYSIS; STOCHASTIC MODELS;

EID: 34247199459     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2006.07.001     Document Type: Article
Times cited : (101)

References (39)
  • 1
    • 34247233727 scopus 로고    scopus 로고
    • Joint treatment of imprecision and randomness in uncertainty propagation
    • Bouchon-Meunier B., Coletti G., and Yager R.R. (Eds), Elsevier
    • Baudrit C., Dubois D., Guyonnet D., and Fargier H. Joint treatment of imprecision and randomness in uncertainty propagation. In: Bouchon-Meunier B., Coletti G., and Yager R.R. (Eds). Modern Information Processing: From Theory to Applications (2006), Elsevier 37-47
    • (2006) Modern Information Processing: From Theory to Applications , pp. 37-47
    • Baudrit, C.1    Dubois, D.2    Guyonnet, D.3    Fargier, H.4
  • 2
    • 21744444838 scopus 로고    scopus 로고
    • A behavioural model for vague probability assessments
    • De Cooman G. A behavioural model for vague probability assessments. Fuzzy Sets and Systems 154 3 (2005) 305-358
    • (2005) Fuzzy Sets and Systems , vol.154 , Issue.3 , pp. 305-358
    • De Cooman, G.1
  • 3
    • 0033321331 scopus 로고    scopus 로고
    • Supremum-preserving upper probabilities
    • De Cooman G., and Aeyels D. Supremum-preserving upper probabilities. Information Sciences 118 (1999) 173-212
    • (1999) Information Sciences , vol.118 , pp. 173-212
    • De Cooman, G.1    Aeyels, D.2
  • 5
    • 21744438422 scopus 로고    scopus 로고
    • Second order possibility measure induced by a fuzzy random variable
    • Bertoluzza C., Gil M.A., and Ralescu D.A. (Eds), Springer, Heidelberg
    • Couso I., Montes S., and Gil P. Second order possibility measure induced by a fuzzy random variable. In: Bertoluzza C., Gil M.A., and Ralescu D.A. (Eds). Statistical Modeling, Analysis and Management of Fuzzy Data (2002), Springer, Heidelberg 127-144
    • (2002) Statistical Modeling, Analysis and Management of Fuzzy Data , pp. 127-144
    • Couso, I.1    Montes, S.2    Gil, P.3
  • 6
    • 18244386650 scopus 로고    scopus 로고
    • A possibilistic interpretation of the expectation of a fuzzy random variable
    • López-Díaz M., Gil M.A., Grzegorzewski P., Hryniewicz O., and Lawry J. (Eds), Springer, Heidelberg
    • Couso I., Miranda E., and de Cooman G. A possibilistic interpretation of the expectation of a fuzzy random variable. In: López-Díaz M., Gil M.A., Grzegorzewski P., Hryniewicz O., and Lawry J. (Eds). Soft Methodology and Random Information Systems (2004), Springer, Heidelberg 133-140
    • (2004) Soft Methodology and Random Information Systems , pp. 133-140
    • Couso, I.1    Miranda, E.2    de Cooman, G.3
  • 7
    • 0141586405 scopus 로고    scopus 로고
    • A survey of concepts of independence for imprecise probabilities
    • Couso I., Moral S., and Walley P. A survey of concepts of independence for imprecise probabilities. Risk Decision and Policy 5 (2000) 165-181
    • (2000) Risk Decision and Policy , vol.5 , pp. 165-181
    • Couso, I.1    Moral, S.2    Walley, P.3
  • 9
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced by a multivalued mapping
    • Dempster A.P. Upper and lower probabilities induced by a multivalued mapping. Annals of Mathematical Statistics 38 (1967) 325-339
    • (1967) Annals of Mathematical Statistics , vol.38 , pp. 325-339
    • Dempster, A.P.1
  • 11
    • 0022128351 scopus 로고
    • Evidence measures based on fuzzy information
    • Dubois D., and Prade H. Evidence measures based on fuzzy information. Automatica 21 5 (1985) 547-562
    • (1985) Automatica , vol.21 , Issue.5 , pp. 547-562
    • Dubois, D.1    Prade, H.2
  • 13
    • 0023548442 scopus 로고
    • The mean value of a fuzzy number
    • Dubois D., and Prade H. The mean value of a fuzzy number. Fuzzy Sets and Systems 24 (1987) 279-300
    • (1987) Fuzzy Sets and Systems , vol.24 , pp. 279-300
    • Dubois, D.1    Prade, H.2
  • 14
    • 0001906541 scopus 로고
    • Random sets and fuzzy interval analysis
    • Dubois D., and Prade H. Random sets and fuzzy interval analysis. Fuzzy Sets and Systems 42 (1991) 87-101
    • (1991) Fuzzy Sets and Systems , vol.42 , pp. 87-101
    • Dubois, D.1    Prade, H.2
  • 15
    • 0010965368 scopus 로고
    • When upper probabilities are possibility measures
    • Dubois D., and Prade H. When upper probabilities are possibility measures. Fuzzy Sets and Systems 49 (1992) 65-74
    • (1992) Fuzzy Sets and Systems , vol.49 , pp. 65-74
    • Dubois, D.1    Prade, H.2
  • 16
    • 0001397001 scopus 로고    scopus 로고
    • The three semantics of fuzzy sets
    • Dubois D., and Prade H. The three semantics of fuzzy sets. Fuzzy Sets and Systems 90 (1997) 141-150
    • (1997) Fuzzy Sets and Systems , vol.90 , pp. 141-150
    • Dubois, D.1    Prade, H.2
  • 17
    • 2642527812 scopus 로고    scopus 로고
    • Propagation of uncertainty through multivariate functions in the framework of sets of probability measures
    • Fetz T., and Oberguggenberger M. Propagation of uncertainty through multivariate functions in the framework of sets of probability measures. Reliability Engineering and System Safety 85 (2005) 73-87
    • (2005) Reliability Engineering and System Safety , vol.85 , pp. 73-87
    • Fetz, T.1    Oberguggenberger, M.2
  • 18
    • 38449112156 scopus 로고
    • Hybrid Arithmetic
    • IEEE Computer Society Press, Los Alamitos, CA
    • Ferson S., and Ginzburg L.R. Hybrid Arithmetic. Proceedings of ISUMA-NAFIPS 95 (1995), IEEE Computer Society Press, Los Alamitos, CA 619-623
    • (1995) Proceedings of ISUMA-NAFIPS 95 , pp. 619-623
    • Ferson, S.1    Ginzburg, L.R.2
  • 19
    • 0030289763 scopus 로고    scopus 로고
    • Different methods are needed to propagate ignorance and variability
    • Ferson S., and Ginzburg L.R. Different methods are needed to propagate ignorance and variability. Reliability Engineering and System Safety 54 (1996) 133-144
    • (1996) Reliability Engineering and System Safety , vol.54 , pp. 133-144
    • Ferson, S.1    Ginzburg, L.R.2
  • 20
    • 0035272810 scopus 로고    scopus 로고
    • M.A. Gil (Ed.), Fuzzy random variables, Information Sciences 133 (1-2) (2001) (special issue).
  • 23
    • 0035480420 scopus 로고    scopus 로고
    • A unified approach to fuzzy random variables
    • Krätschmer V. A unified approach to fuzzy random variables. Fuzzy Sets and Systems 123 (2001) 1-9
    • (2001) Fuzzy Sets and Systems , vol.123 , pp. 1-9
    • Krätschmer, V.1
  • 24
    • 0042121449 scopus 로고    scopus 로고
    • When fuzzy measures are upper envelopes of probability measures
    • Krätschmer V. When fuzzy measures are upper envelopes of probability measures. Fuzzy Sets and Systems 138 (2003) 455-468
    • (2003) Fuzzy Sets and Systems , vol.138 , pp. 455-468
    • Krätschmer, V.1
  • 25
    • 16344382080 scopus 로고    scopus 로고
    • Utilizing belief functions for the estimation of future climate change
    • Kriegler E., and Held H. Utilizing belief functions for the estimation of future climate change. International Journal of Approximate Reasoning 39 2-3 (2005) 185-209
    • (2005) International Journal of Approximate Reasoning , vol.39 , Issue.2-3 , pp. 185-209
    • Kriegler, E.1    Held, H.2
  • 26
    • 6344232554 scopus 로고
    • Fuzzy random variables, definition and theorems
    • Kwakernaak H. Fuzzy random variables, definition and theorems. Information Sciences 15 (1989) 1-29
    • (1989) Information Sciences , vol.15 , pp. 1-29
    • Kwakernaak, H.1
  • 28
    • 34247265723 scopus 로고    scopus 로고
    • E. Miranda, I. Couso, P. Gil, Upper probabilities attainable by distributions of measurable selections, Technical Report TR04/05 on statistics and decision sciences, University Rey Juan Carlos, 2004.
  • 31
    • 18144424552 scopus 로고    scopus 로고
    • Average level of a fuzzy set
    • Bertoluzza C., Gil M.A., and Ralescu D.A. (Eds), Springer, Heidelberg
    • Ralescu D. Average level of a fuzzy set. In: Bertoluzza C., Gil M.A., and Ralescu D.A. (Eds). Statistical Modeling, Analysis and Management of Fuzzy Data (2002), Springer, Heidelberg 119-126
    • (2002) Statistical Modeling, Analysis and Management of Fuzzy Data , pp. 119-126
    • Ralescu, D.1
  • 33
    • 0031141157 scopus 로고    scopus 로고
    • The normative representation of quantified beliefs by belief functions
    • Smets P. The normative representation of quantified beliefs by belief functions. Artificial Intelligence 92 (1997) 229-242
    • (1997) Artificial Intelligence , vol.92 , pp. 229-242
    • Smets, P.1
  • 35
    • 0003313638 scopus 로고
    • Statistical Reasoning with Imprecise Probabilities
    • Walley P. Statistical Reasoning with Imprecise Probabilities. Chapman and Hall (1991)
    • (1991) Chapman and Hall
    • Walley, P.1
  • 36
    • 0031321609 scopus 로고    scopus 로고
    • Statistical inference based on a second-order possibility distribution
    • Walley P. Statistical inference based on a second-order possibility distribution. International Journal of General Systems 26 (1997) 337-383
    • (1997) International Journal of General Systems , vol.26 , pp. 337-383
    • Walley, P.1
  • 38
    • 0016458950 scopus 로고
    • The concept of a linguistic variable and its application to approximate reasoning
    • Part I: 8, 199-249; Part II: 8, 301-357; Part III: 9, 43-80
    • Zadeh L.A. The concept of a linguistic variable and its application to approximate reasoning. Information Sciences (1975) Part I: 8, 199-249; Part II: 8, 301-357; Part III: 9, 43-80
    • (1975) Information Sciences
    • Zadeh, L.A.1
  • 39
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of possibility
    • Zadeh L.A. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets and Systems 1 (1978) 3-28
    • (1978) Fuzzy Sets and Systems , vol.1 , pp. 3-28
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.