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Volumn 159, Issue 3, 2008, Pages 289-306

Nonspecificity for infinite random sets of indexable type

Author keywords

Dempster Shafer evidence theory; Hartley like measure; Infinite random sets; Measures of uncertainty; Nonspecificity

Indexed keywords

FUZZY SETS; NUMBER THEORY; PROBLEM SOLVING; THEOREM PROVING;

EID: 36048964282     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2007.08.008     Document Type: Article
Times cited : (7)

References (35)
  • 1
    • 30344456740 scopus 로고    scopus 로고
    • Additivity of uncertainty measures on credal sets
    • Abellán J., and Klir G.J. Additivity of uncertainty measures on credal sets. Internat. J. General Systems 34 6 (2005) 691-713
    • (2005) Internat. J. General Systems , vol.34 , Issue.6 , pp. 691-713
    • Abellán, J.1    Klir, G.J.2
  • 2
    • 0001608536 scopus 로고    scopus 로고
    • A non-specificity measure for convex sets of probability distributions
    • (See also Corrigendum in Vol. 14(3) of the same journal, 2005, pp. 467)
    • Abellán J., and Moral S. A non-specificity measure for convex sets of probability distributions. Internat. J. Uncertainty Fuzziness Knowledge-Based Systems 8 3 (2000) 357-367 (See also Corrigendum in Vol. 14(3) of the same journal, 2005, pp. 467)
    • (2000) Internat. J. Uncertainty Fuzziness Knowledge-Based Systems , vol.8 , Issue.3 , pp. 357-367
    • Abellán, J.1    Moral, S.2
  • 3
    • 33750468686 scopus 로고    scopus 로고
    • On the calculation of the bounds of probability of events using infinite random sets
    • Alvarez D.A. On the calculation of the bounds of probability of events using infinite random sets. Internat. J. Approximate Reasoning 43 3 (2006) 241-267
    • (2006) Internat. J. Approximate Reasoning , vol.43 , Issue.3 , pp. 241-267
    • Alvarez, D.A.1
  • 4
    • 36048987695 scopus 로고    scopus 로고
    • D.A. Alvarez, Infinite random sets and applications in uncertainty analysis, Ph.D. Thesis, Leopold-Franzens Universität Innsbruck, Innsbruck, Austria, April 2007.
  • 5
    • 36048974169 scopus 로고    scopus 로고
    • C. Bertoluzza, M.A. Gil, D.A. Ralescu (Eds.), Statistical Modeling, Analysis and Management of Fuzzy Data, Studies in Fuzziness and Soft Computing, Vol. 87, Physica Verlag, Heidelberg, New York, 2002.
  • 6
    • 36049050945 scopus 로고    scopus 로고
    • I. Couso, S. Moral, P. Walley, Examples of independence for imprecise probabilities, in: G. De Cooman, F.G. Cozman, S. Moral, P. Walley (Eds.), Proc. First International Symp. on Imprecise Probabilities and their Applications, ISIPTA'99, 1999, pp. 121-130, Available in 〈http://decsai.ugr.es/∼smc/isipta99/proc/068.html〉.
  • 7
    • 0342717665 scopus 로고
    • A definition of inclusion for evidences
    • Delgado M., and Moral S. A definition of inclusion for evidences. Fuzzy Math. (Huazhong, China) 6 4 (1987) 81-87
    • (1987) Fuzzy Math. (Huazhong, China) , vol.6 , Issue.4 , pp. 81-87
    • Delgado, M.1    Moral, S.2
  • 8
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced by a multivalued mapping
    • Dempster A.P. Upper and lower probabilities induced by a multivalued mapping. Ann. Math. Statist. 38 (1967) 325-339
    • (1967) Ann. Math. Statist. , vol.38 , pp. 325-339
    • Dempster, A.P.1
  • 9
    • 84963289627 scopus 로고
    • A note on measures of specificity for fuzzy sets
    • Dubois D., and Prade H. A note on measures of specificity for fuzzy sets. Internat. J. General Systems 10 4 (1985) 279-283
    • (1985) Internat. J. General Systems , vol.10 , Issue.4 , pp. 279-283
    • Dubois, D.1    Prade, H.2
  • 10
    • 84963165563 scopus 로고
    • A set-theoretic view of belief functions: logical operations and approximations by fuzzy sets
    • Dubois D., and Prade H. A set-theoretic view of belief functions: logical operations and approximations by fuzzy sets. Internat. J. General Systems 12 3 (1986) 193-226
    • (1986) Internat. J. General Systems , vol.12 , Issue.3 , pp. 193-226
    • Dubois, D.1    Prade, H.2
  • 11
    • 84962857625 scopus 로고
    • The principle of minimum specificity as a basis for evidential reasoning
    • Bouchon B., and Yager R.R. (Eds), Springer, Berlin
    • Dubois D., and Prade H. The principle of minimum specificity as a basis for evidential reasoning. In: Bouchon B., and Yager R.R. (Eds). Uncertainty in Knowledge-Based Systems, Lecture Notes in Computer Science Vol. 286 (1987), Springer, Berlin 75-84
    • (1987) Uncertainty in Knowledge-Based Systems, Lecture Notes in Computer Science , vol.286 , pp. 75-84
    • Dubois, D.1    Prade, H.2
  • 13
    • 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 1 (1991) 87-101
    • (1991) Fuzzy Sets and Systems , vol.42 , Issue.1 , pp. 87-101
    • Dubois, D.1    Prade, H.2
  • 14
    • 0002101229 scopus 로고    scopus 로고
    • Correlation and dependence in risk management: properties and pitfalls
    • Dempster M.A.H. (Ed), Cambridge University Press, Cambridge, UK
    • Embrechts P., McNeil A., and Straumann D. Correlation and dependence in risk management: properties and pitfalls. In: Dempster M.A.H. (Ed). Risk Management. Value at Risk and Beyond (2002), Cambridge University Press, Cambridge, UK 176-223
    • (2002) Risk Management. Value at Risk and Beyond , pp. 176-223
    • Embrechts, P.1    McNeil, A.2    Straumann, D.3
  • 15
    • 36049018295 scopus 로고    scopus 로고
    • S. Ferson, V. Kreinovich, L. Ginzburg, D.S. Myers, K. Sentz, Constructing probability boxes and Dempster-Shafer structures, Report SAND2002-4015, Sandia National Laboratories, Albuquerque, NM, January 2003, Available in 〈http://www.ramas.com/unabridged.zip〉.
  • 16
    • 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. Reliab. Eng. System Safety 85 1-3 (2004) 73-87
    • (2004) Reliab. Eng. System Safety , vol.85 , Issue.1-3 , pp. 73-87
    • Fetz, T.1    Oberguggenberger, M.2
  • 18
    • 84980082105 scopus 로고
    • Transmission of information
    • Hartley R.V.L. Transmission of information. Bell System Technical J. 7 1 (1928) 535-563
    • (1928) Bell System Technical J. , vol.7 , Issue.1 , pp. 535-563
    • Hartley, R.V.L.1
  • 19
    • 0031376522 scopus 로고    scopus 로고
    • Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty
    • Helton J.C. Uncertainty and sensitivity analysis in the presence of stochastic and subjective uncertainty. J. Statist. Comput. Simulation 57 (1997) 3-76
    • (1997) J. Statist. Comput. Simulation , vol.57 , pp. 3-76
    • Helton, J.C.1
  • 20
    • 84905363895 scopus 로고    scopus 로고
    • Generalized information theory for engineering modeling and simulation
    • Nikolaidis E., and Ghiocel D. (Eds), CRC Press, Boca Raton
    • Joslyn C., and Booker J.M. Generalized information theory for engineering modeling and simulation. In: Nikolaidis E., and Ghiocel D. (Eds). Engineering Design Reliability Handbook Vol. 9 (2004), CRC Press, Boca Raton 1-40
    • (2004) Engineering Design Reliability Handbook , vol.9 , pp. 1-40
    • Joslyn, C.1    Booker, J.M.2
  • 25
    • 21744445829 scopus 로고    scopus 로고
    • Random intervals as a model for imprecise information
    • Miranda E., Couso I., and Gil P. Random intervals as a model for imprecise information. Fuzzy Sets and Systems 154 3 (2005) 386-412
    • (2005) Fuzzy Sets and Systems , vol.154 , Issue.3 , pp. 386-412
    • Miranda, E.1    Couso, I.2    Gil, P.3
  • 26
    • 18244399346 scopus 로고    scopus 로고
    • Random sets as imprecise random variables
    • Miranda E., Couso I., and Gil P. Random sets as imprecise random variables. J. Math. Anal. Appl. 307 1 (2005) 32-47
    • (2005) J. Math. Anal. Appl. , vol.307 , Issue.1 , pp. 32-47
    • Miranda, E.1    Couso, I.2    Gil, P.3
  • 29
    • 36048952360 scopus 로고    scopus 로고
    • W.L. Oberkampf, J.C. Helton, K. Sentz, Mathematical representation of uncertainty, in: Non-deterministic Approached Forum 2001, AIAA-2001-1645, Seattle, WA, American Institute of Aeronautics and Astronautics, April 16-19, 2001.
  • 32
    • 36049022742 scopus 로고    scopus 로고
    • K. Sentz, S. Ferson, Combination of evidence in Dempster-Shafer theory, Report SAND2002-0835, Sandia National Laboratories, Albuquerque, NM, 2002.
  • 35
    • 85015376724 scopus 로고
    • The entailment principle for Dempster-Shafer granules
    • Yager R.R. The entailment principle for Dempster-Shafer granules. Internat. J. Intell. Systems 1 (1986) 247-262
    • (1986) Internat. J. Intell. Systems , vol.1 , pp. 247-262
    • Yager, R.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.