메뉴 건너뛰기




Volumn 138, Issue 3, 2003, Pages 469-484

Coherent lower previsions and Choquet integrals

Author keywords

Asymmetric Choquet integral; Coherence; Greco's representation theorem; Lower prevision; Natural extension; Symmetric Choquet integral

Indexed keywords

INTEGRATION; NUMERICAL ANALYSIS; PROBABILITY;

EID: 0042121447     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(02)00545-6     Document Type: Article
Times cited : (6)

References (24)
  • 1
    • 0001157520 scopus 로고
    • A definition of subjective probability
    • Anscombe F., Aumann R. A definition of subjective probability. Ann. Math. Statist. 34:1963;199-205.
    • (1963) Ann. Math. Statist. , vol.34 , pp. 199-205
    • Anscombe, F.1    Aumann, R.2
  • 2
    • 0000748168 scopus 로고
    • Theory of capacities
    • Choquet G. Theory of capacities. Ann. Inst. Grenoble. 5:1953/1954;131-295.
    • (1953) Ann. Inst. Grenoble , vol.5 , pp. 131-295
    • Choquet, G.1
  • 3
    • 44049114218 scopus 로고
    • Characterization and comparison of Sugeno and Choquet integrals
    • deCampos L.M., Bolanos M.J. Characterization and comparison of Sugeno and Choquet integrals. Fuzzy Sets and Systems. 52:1992;261-267.
    • (1992) Fuzzy Sets and Systems , vol.52 , pp. 261-267
    • DeCampos, L.M.1    Bolanos, M.J.2
  • 5
    • 0033321331 scopus 로고    scopus 로고
    • Supremum preserving upper probabilities
    • de Cooman G., Aeyels D. Supremum preserving upper probabilities. Inform. Sci. 118:1999;173-212.
    • (1999) Inform. Sci. , vol.118 , pp. 173-212
    • De Cooman, G.1    Aeyels, D.2
  • 9
    • 84957363402 scopus 로고
    • Risk, ambiguity and the savage axioms
    • Ellsberg D. Risk, Ambiguity and the Savage axioms. Quart. J. Econom. 75:1961;643-669.
    • (1961) Quart. J. Econom. , vol.75 , pp. 643-669
    • Ellsberg, D.1
  • 10
    • 0002560703 scopus 로고
    • Expected utility with purely subjective non-additive probabilities
    • Gilboa I. Expected utility with purely subjective non-additive probabilities. J. Math. Econom. 16:1987;65-88.
    • (1987) J. Math. Econom. , vol.16 , pp. 65-88
    • Gilboa, I.1
  • 12
    • 0010407115 scopus 로고
    • Sulla rappresentazione di funzionali mediante integrali
    • Greco G.H. Sulla rappresentazione di funzionali mediante integrali. Rend. Sem. Mat. Univ. Padova. 66:1982;21-42.
    • (1982) Rend. Sem. Mat. Univ. Padova , vol.66 , pp. 21-42
    • Greco, G.H.1
  • 14
    • 0007234826 scopus 로고    scopus 로고
    • Measure and integration: Integral representations of isotone functionals
    • König H. Measure and integration. integral representations of isotone functionals Ann. Univ. Sarav. 9:1998;123-153.
    • (1998) Ann. Univ. Sarav. , vol.9 , pp. 123-153
    • König, H.1
  • 15
    • 57049156070 scopus 로고
    • 2nd Edition, Springer, Berlin
    • K. Königsberger, Analysis, Vol. 1, 2nd Edition, Springer, Berlin, 1992.
    • (1992) Analysis , vol.1
    • Königsberger, K.1
  • 16
    • 0000210201 scopus 로고
    • An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure
    • Murofushi T., Sugeno M. An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure. Fuzzy Sets and Systems. 29:1989;201-227.
    • (1989) Fuzzy Sets and Systems , vol.29 , pp. 201-227
    • Murofushi, T.1    Sugeno, M.2
  • 17
    • 44949271412 scopus 로고
    • A theory of fuzzy measures: Representations, the Choquet integral, and null sets
    • Murofushi T., Sugeno M. A theory of fuzzy measures: representations, the Choquet integral, and null sets. J. Math. Anal. Appl. 159:1991;532-549.
    • (1991) J. Math. Anal. Appl. , vol.159 , pp. 532-549
    • Murofushi, T.1    Sugeno, M.2
  • 20
    • 0001333688 scopus 로고
    • Subjective probability and expected utility without additivity
    • Schmeidler D. Subjective probability and expected utility without additivity. Econometrica. 57:1989;571-587.
    • (1989) Econometrica , vol.57 , pp. 571-587
    • Schmeidler, D.1
  • 21
    • 0037953639 scopus 로고    scopus 로고
    • Choquet integral and fuzzy measures on locally compact space
    • Sugeno M., Narukawa Y., Murofushi T. Choquet integral and fuzzy measures on locally compact space. Fuzzy Sets and Systems. 99:1998;205-211.
    • (1998) Fuzzy Sets and Systems , vol.99 , pp. 205-211
    • Sugeno, M.1    Narukawa, Y.2    Murofushi, T.3
  • 22
    • 38249017746 scopus 로고
    • A behavioral foundation for fuzzy measures
    • Wakker P. A behavioral foundation for fuzzy measures. Fuzzy Sets and Systems. 37:1990;327-350.
    • (1990) Fuzzy Sets and Systems , vol.37 , pp. 327-350
    • Wakker, P.1
  • 24
    • 0030146168 scopus 로고    scopus 로고
    • Measures of uncertainty in expert systems
    • Walley P. Measures of uncertainty in expert systems. Artificial Intelligence. 83:1996;1-58.
    • (1996) Artificial Intelligence , vol.83 , pp. 1-58
    • Walley, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.