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Volumn 31, Issue 1-2, 2002, Pages 1-30

The application of the matrix calculus to belief functions

Author keywords

Belief functions; Matrix; Transferable belief model

Indexed keywords

MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; THEOREM PROVING;

EID: 0036787913     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0888-613X(02)00066-X     Document Type: Article
Times cited : (107)

References (18)
  • 1
    • 84963165563 scopus 로고
    • A set-theoretic view of belief functions: Logical operations and approximations by fuzzy sets
    • Dubois D., Prade H. A set-theoretic view of belief functions: logical operations and approximations by fuzzy sets. International Journal of General Systems. 12:1986;193-226.
    • (1986) International Journal of General Systems , vol.12 , pp. 193-226
    • Dubois, D.1    Prade, H.2
  • 2
    • 84962857625 scopus 로고
    • The principle of minimum specificity as a basis for evidential reasoning
    • Bouchon B., Yager R.R. (Eds.), Springer, Berlin
    • Dubois D., Prade H. The principle of minimum specificity as a basis for evidential reasoning. Bouchon B., Yager R.R. Uncertainty in Knowledge-based Systems. 1987;75-84 Springer, Berlin.
    • (1987) Uncertainty in Knowledge-based Systems , pp. 75-84
    • Dubois, D.1    Prade, H.2
  • 5
    • 0026822833 scopus 로고
    • Computational aspects of the Möbius transform of a graph
    • Kennes R. Computational aspects of the Möbius transform of a graph. IEEE-SMC. 22:1992;201-223.
    • (1992) IEEE-SMC , vol.22 , pp. 201-223
    • Kennes, R.1
  • 6
    • 0010597826 scopus 로고
    • Fast algorithms for Dempster-Shafer theory
    • Bouchon-Meunier B., Yager R.R., Zadeh L.A. (Eds.), Springer, Berlin
    • Kennes R., Smets P. Fast algorithms for Dempster-Shafer theory. Bouchon-Meunier B., Yager R.R., Zadeh L.A. Uncertainty in Knowledge Bases. 1990;14-23 Springer, Berlin.
    • (1990) Uncertainty in Knowledge Bases , pp. 14-23
    • Kennes, R.1    Smets, P.2
  • 7
    • 0000252076 scopus 로고
    • Computational aspects of the Möbius transform
    • Bonissone P.P., Henrion M., Kanal L.N., Lemmer J.F. (Eds.), North-Holland, Amsterdam
    • Kennes R., Smets P. Computational aspects of the Möbius transform. Bonissone P.P., Henrion M., Kanal L.N., Lemmer J.F. Uncertainty in Artificial Intelligence. vol. 6:1991;401-416 North-Holland, Amsterdam.
    • (1991) Uncertainty in Artificial Intelligence , vol.6 , pp. 401-416
    • Kennes, R.1    Smets, P.2
  • 8
    • 0041584622 scopus 로고
    • The dynamic of belief in the transferable belief model and specialization-generalization matrices
    • Dubois D., Wellman M.P., D'Ambrosio B., Smets P. (Eds.), Morgan Kaufman, San Mateo, CA
    • Klawonn F., Smets P. The dynamic of belief in the transferable belief model and specialization-generalization matrices. Dubois D., Wellman M.P., D'Ambrosio B., Smets P. Uncertainty in Artificial Intelligence 92. 1992;130-137 Morgan Kaufman, San Mateo, CA.
    • (1992) Uncertainty in Artificial Intelligence , vol.92 , pp. 130-137
    • Klawonn, F.1    Smets, P.2
  • 9
    • 84937396462 scopus 로고    scopus 로고
    • Dempster specialization matrices and the combination of belief functions
    • Benferhat S., Besnard P. (Eds.), Springer, Berlin
    • Monney P. Dempster specialization matrices and the combination of belief functions. Benferhat S., Besnard P. Symbolic and Quantitative Approaches to Reasoning With Uncertainty. 2001;316-327 Springer, Berlin.
    • (2001) Symbolic and Quantitative Approaches to Reasoning with Uncertainty , pp. 316-327
    • Monney, P.1
  • 11
    • 0002286737 scopus 로고
    • Belief functions
    • Smets P., Mamdani E.H., Dubois D., Prade H. (Eds.), Academic Press, London
    • Smets P. Belief functions. Smets P., Mamdani E.H., Dubois D., Prade H. Non Standard Logics for Automated Reasoning. 1988;253-286 Academic Press, London.
    • (1988) Non Standard Logics for Automated Reasoning , pp. 253-286
    • Smets, P.1
  • 13
    • 84947764442 scopus 로고    scopus 로고
    • The alpha-junctions: Combination operators applicable to belief functions
    • Gabbay D., Kruse R., Nonnengart A., Ohlbach H. (Eds.), Springer, Berlin
    • Smets P. The alpha-junctions: combination operators applicable to belief functions. Gabbay D., Kruse R., Nonnengart A., Ohlbach H. Qualitative and Quantitative Practical Reasoning. 1997;131-153 Springer, Berlin.
    • (1997) Qualitative and Quantitative Practical Reasoning , pp. 131-153
    • Smets, P.1
  • 14
    • 0001099497 scopus 로고    scopus 로고
    • The transferable belief model for quantified belief representation
    • Gabbay D.M., Smets P. (Eds.), Kluwer, Doordrecht, The Netherlands
    • Smets P. The transferable belief model for quantified belief representation. Gabbay D.M., Smets P. Handbook of Defeasible Reasoning and Uncertainty Management Systems. vol. 1:1998;267-301 Kluwer, Doordrecht, The Netherlands.
    • (1998) Handbook of Defeasible Reasoning and Uncertainty Management Systems , vol.1 , pp. 267-301
    • Smets, P.1
  • 15
    • 0038668298 scopus 로고    scopus 로고
    • Decision making in a context where uncertainty is represented by belief functions
    • Srivastava R.P., Mock T.J. (Eds.), Physica-Verlag, Wurzburg, Germany
    • Smets P. Decision making in a context where uncertainty is represented by belief functions. Srivastava R.P., Mock T.J. Belief Functions in Business Decisions. 2002;17-61 Physica-Verlag, Wurzburg, Germany.
    • (2002) Belief Functions in Business Decisions , pp. 17-61
    • Smets, P.1
  • 17
    • 0010530228 scopus 로고    scopus 로고
    • The transferable belief model for quantified belief representation
    • Motro A., Smets P. (Eds.), Kluwer, Boston, MA
    • Smets P., Kruse R. The transferable belief model for quantified belief representation. Motro A., Smets P. Uncertainty in Information Systems: From Needs to Solutions. 1997;343-368 Kluwer, Boston, MA.
    • (1997) Uncertainty in Information Systems: From Needs to Solutions , pp. 343-368
    • Smets, P.1    Kruse, R.2
  • 18
    • 85015376724 scopus 로고
    • The entailment principle for Dempster-Shafer granules
    • Yager R. The entailment principle for Dempster-Shafer granules. Int. J. Intell. Systems. 1:1986;247-262.
    • (1986) Int. J. Intell. Systems , vol.1 , pp. 247-262
    • Yager, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.