메뉴 건너뛰기




Volumn , Issue , 2006, Pages 1-257

An Introduction to Random Sets

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85067902850     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (234)

References (129)
  • 3
    • 22844456367 scopus 로고    scopus 로고
    • Densities of idempotent measures and large deviations
    • Akian, M., Densities of idempotent measures and large deviations, Trans. Amer. Math. Soc., 351, 4515-4543, 1999.
    • (1999) Trans. Amer. Math. Soc. , vol.351 , pp. 4515-4543
    • Akian, M.1
  • 4
    • 51249179860 scopus 로고
    • Distributions of random sets and random selections
    • Artstein, Z., Distributions of random sets and random selections, Israel J. Math., 46, 313-324, 1983.
    • (1983) Israel J. Math. , vol.46 , pp. 313-324
    • Artstein, Z.1
  • 5
    • 0000056568 scopus 로고
    • A strong law of large numbers for random compact sets
    • Artstein, Z. and Vitale, R., A strong law of large numbers for random compact sets, Ann Probab., 3, 879-882, 1975.
    • (1975) Ann Probab. , vol.3 , pp. 879-882
    • Artstein, Z.1    Vitale, R.2
  • 6
    • 50549204934 scopus 로고
    • Intervals of set-valued functions
    • Aumann, R.J., Intervals of set-valued functions, J. Math. Analysis and Appl., 12, 1-12, 1965.
    • (1965) J. Math. Analysis and Appl. , vol.12 , pp. 1-12
    • Aumann, R.J.1
  • 8
    • 0001538825 scopus 로고
    • Binary experiments minimax tests and 2-alternating ca-pacities,
    • Bednarski, T., Binary experiments, minimax tests and 2-alternating ca-pacities, Ann. Statist., 10, 226-232, 1982.
    • (1982) Ann. Statist. , vol.10 , pp. 226-232
    • Bednarski, T.1
  • 14
    • 38249022049 scopus 로고
    • Some characterization of lower prob-abilities and other monotone capacities through the use of Mobius in-version
    • Chateauneuf, A. and Jaffray, J.Y., Some characterization of lower prob-abilities and other monotone capacities through the use of Mobius in-version, Math. Social Sciences, 17, 263-283, 1989.
    • (1989) Math. Social Sciences , vol.17 , pp. 263-283
    • Chateauneuf, A.1    Jaffray, J.Y.2
  • 15
    • 0000748168 scopus 로고
    • Theory of capacities,
    • Choquet, G., Theory of capacities, Ann. Inst. Fourier, V, 131-295, 1953-1954.
    • (1953) Ann. Inst. Fourier, , vol.V , pp. 131-295
    • Choquet, G.1
  • 16
    • 0010943030 scopus 로고
    • A central limit theorem for random sets
    • Cressie, N., A central limit theorem for random sets, Z. Wahrs. Geb., 49, 37-47, 1978.
    • (1978) Z. Wahrs. Geb. , vol.49 , pp. 37-47
    • Cressie, N.1
  • 17
    • 0023562446 scopus 로고
    • Random set theory and problems of modeling
    • Cressie, N. and Laslett, G. M., Random set theory and problems of modeling, SIAM Review, 29, 557-574, 1987.
    • (1987) SIAM Review , vol.29 , pp. 557-574
    • Cressie, N.1    Laslett, G.M.2
  • 19
    • 0013426138 scopus 로고
    • Quelques commentaires sur le prolongement de ca-pacites,
    • Springer-Verlag, Berlin,
    • Dellacharie, C., Quelques commentaires sur le prolongement de ca-pacites, in Lecture Notes in Mathematics, Vol. 191, Springer-Verlag, Berlin, 77-81, 1971.
    • (1971) in Lecture Notes in Mathematics, , vol.191 , pp. 77-81
    • Dellacharie, C.1
  • 21
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced from a multival-ued mapping
    • Dempster, A.P., Upper and lower probabilities induced from a multival-ued mapping, Ann. Math. Statist., 38, 325-339, 1967.
    • (1967) Ann. Math. Statist. , vol.38 , pp. 325-339
    • Dempster, A.P.1
  • 27
    • 0000310904 scopus 로고
    • A concept of egalitarianism under participation constraints,
    • Dutta, B. and Ray, D., A concept of egalitarianism under participation constraints, Econometrika, 57(2), 615-635, 1989.
    • (1989) Econometrika, , vol.57 , Issue.2 , pp. 615-635
    • Dutta, B.1    Ray, D.2
  • 28
    • 0003798198 scopus 로고
    • Polish Scientific Publ., Warszawa
    • Engelking, R., General Topology, Polish Scientific Publ., Warszawa, 1977.
    • (1977) General Topology
    • Engelking, R.1
  • 30
    • 52549096282 scopus 로고
    • Representatives of sequences of sets
    • Everett, C.J. and Whaples, G., Representatives of sequences of sets, Am. J. Math., 71, 287-293, 1949.
    • (1949) Am. J. Math. , vol.71 , pp. 287-293
    • Everett, C.J.1    Whaples, G.2
  • 33
    • 4043105645 scopus 로고    scopus 로고
    • On a statistical framework for estimation from random set observations
    • Feng, De-Jun and Feng, D., On a statistical framework for estimation from random set observations, J. Theoretical Prob., 17, 85-110, 2004.
    • (2004) J. Theoretical Prob. , vol.17 , pp. 85-110
    • Feng, D-J.1    Feng, D.2
  • 35
    • 0000315591 scopus 로고
    • Les elements aleatoires de nature quelque dans un espace distancie,
    • Frechet, M., Les elements aleatoires de nature quelque dans un espace distancie, Ann. Inst. Poincare, IV, 215-310, 1948.
    • (1948) Ann. Inst Poincar , vol.IV , pp. 215-310
    • Frechet, M.1
  • 36
    • 0001206510 scopus 로고    scopus 로고
    • Coarsening at random: characterizations, conjectures, and counterexamples,
    • Springer-Verlag,
    • Gill, R.D., Van Der Laan, M.J., and Robins, J.M., Coarsening at random: characterizations, conjectures, and counterexamples, in Lecture Notes in Statistics, Vol. 123, Springer-Verlag, 255-294, 1997.
    • (1997) in Lecture Notes in Statistics, , vol.123 , pp. 255-294
    • Gill, R.D.1    Van Der Laan, M.J.2    Robins, J.M.3
  • 37
    • 84863774450 scopus 로고    scopus 로고
    • Weak convergence of bounded, monotone set functions in an abstract setting,
    • Girotto, B. and Holzer, S., Weak convergence of bounded, monotone set functions in an abstract setting, Real Analysis Exchange, 26(1), 157-176, 2000-2001.
    • (2000) Real Analysis Exchange, , vol.26 , Issue.1 , pp. 157-176
    • Girotto, B.1    Holzer, S.2
  • 38
    • 0001563471 scopus 로고    scopus 로고
    • Fuzzy sets as equivalence classes of random sets,
    • Yager, R. et al., Eds., Pergamon Press, New York, 1982.
    • Goodman, I.R., Fuzzy sets as equivalence classes of random sets, in Fuzzyets and Possibility Theory, Yager, R. et al., Eds., Pergamon Press, New York, 1982.
    • in Fuzzyets and Possibility Theory,
    • Goodman, I.R.1
  • 39
    • 0347246042 scopus 로고
    • On the scoring ap-proach to admissibility of uncertainty measures in expert systems,
    • Goodman, I.R., Nguyen, H.T., and Rogers, G.S., On the scoring ap-proach to admissibility of uncertainty measures in expert systems, J.Math. Anal. and Appl., 159, 550-594, 1991.
    • (1991) J.Math. Anal. and Appl., , vol.159 , pp. 550-594
    • Goodman, I.R.1    Nguyen, H.T.2    Rogers, G.S.3
  • 43
    • 0010930290 scopus 로고
    • A Radon-Nikodym theorem for capacities
    • Graf, S., A Radon-Nikodym theorem for capacities, J. Reine Ang. Math., 320, 192-214, 1982.
    • (1982) J. Reine Ang. Math. , vol.320 , pp. 192-214
    • Graf, S.1
  • 46
    • 84963056434 scopus 로고
    • On representatives of subsets
    • Hall, P., On representatives of subsets, J. London Math. Soc., 10, 26-30, 1935.
    • (1935) J. London Math. Soc. , vol.10 , pp. 26-30
    • Hall, P.1
  • 47
    • 0004207439 scopus 로고
    • Springer-Verlag, Berlin-Heidelberg-New York
    • Halmos, P.R., Measure Theory, Springer-Verlag, Berlin-Heidelberg-New York, 1974.
    • (1974) Measure Theory
    • Halmos, P.R.1
  • 48
  • 50
    • 0001341972 scopus 로고
    • Estimation of a convex density contour in two dimen-sions
    • Hartigan, J.A., Estimation of a convex density contour in two dimen-sions, J. Amer. Statist. Assoc., 82, 267-270, 1987.
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 267-270
    • Hartigan, J.A.1
  • 51
    • 0000993483 scopus 로고
    • Ignorability and coarse data
    • Heitjan, D.F. and Rubin, D.B., Ignorability and coarse data, Ann. Sta-tist., 19, 2244-2253, 1991.
    • (1991) Ann. Sta-tist. , vol.19 , pp. 2244-2253
    • Heitjan, D.F.1    Rubin, D.B.2
  • 53
    • 0000096577 scopus 로고
    • The use of Choquet capacities in statistics,
    • book
    • Huber, P.J., The use of Choquet capacities in statistics, Bull. Inst. In-tern. Stat., XLV, book 4, 181-188, 1973.
    • (1973) Bull. Inst In-tern. Stat , vol.XLV , Issue.4 , pp. 181-188
    • Huber, P.J.1
  • 54
    • 0001151052 scopus 로고
    • Minimax tests and the Neyman-Pearson lemma for capacities
    • Huber, P.J. and Strassen, V., Minimax tests and the Neyman-Pearson lemma for capacities, Ann. Statist., 1, 251-263, 1973.
    • (1973) Ann. Statist. , vol.1 , pp. 251-263
    • Huber, P.J.1    Strassen, V.2
  • 55
    • 27744509608 scopus 로고    scopus 로고
    • On the maximum of conditional entropy for upper/lower probability generated by random sets.
    • In: Goutsias, J., Mahler, R., and Nguyen, H.T., Eds., Springer- Verlag, New York,
    • Jaffray, J.Y., On the maximum of conditional entropy for upper/lower probability generated by random sets. In: Goutsias, J., Mahler, R., and Nguyen, H.T., Eds., Random Sets: Theory and Applications, Springer- Verlag, New York, 107-127, 1997.
    • (1997) Random Sets: Theory and Applications, , pp. 107-127
    • Jaffray, J.Y.1
  • 56
    • 11944266539 scopus 로고
    • Information theory and statistical mechanics
    • Jaynes, E.T., Information theory and statistical mechanics, Phys. Rev., 106, 620-630; 109, 171-182, 1957.
    • (1957) Phys. Rev. , vol.106-109
    • Jaynes, E.T.1
  • 57
    • 0002260533 scopus 로고
    • Where do we stand on maximum entropy?
    • In: Levine, R.D. and Tribus, M., Eds., MIT Press, Cambridge, Massachusetts,
    • Jaynes, E.T., Where do we stand on maximum entropy? In: Levine, R.D. and Tribus, M., Eds., The Maximum Entropy Formalism, MIT Press, Cambridge, Massachusetts, 1979, 15-118.
    • (1979) The Maximum Entropy Formalism, , pp. 15-118
    • Jaynes, E.T.1
  • 58
    • 0020339049 scopus 로고
    • Interpretation of membership functions of fuzzy sets in terms of plausibility and belief,
    • in: Gupta, M. and Sanchez, E., Eds., North Holland, Ams-terdam,
    • Kampe de Feriet, J., Interpretation of membership functions of fuzzy sets in terms of plausibility and belief, in: Gupta, M. and Sanchez, E., Eds., Fuzzy Information and Decision Processes, North Holland, Ams-terdam, 1982, 93-98.
    • (1982) Fuzzy Information and Decision Processes, , pp. 93-98
    • Feriet, K.D.J.1
  • 61
    • 0002210779 scopus 로고
    • Foundations of a theory of random sets.
    • Harding, E.F and Kendal D.G., Eds., J. Wiley, New York,
    • Kendall, D.G., Foundations of a theory of random sets. In Stochastic Geometry, Harding, E.F. and Kendall, D.G., Eds., J. Wiley, New York, 322-376, 1974.
    • (1974) In Stochastic Geometry, , pp. 322-376
    • Kendall, D.G.1
  • 63
    • 0000162636 scopus 로고
    • Sur les spaces complets
    • Kuratowski, C., Sur les spaces complets, Fund. Math., 15, 301-309, 1930.
    • (1930) Fund. Math. , vol.15 , pp. 301-309
    • Kuratowski, C.1
  • 64
    • 85122717871 scopus 로고    scopus 로고
    • On consistency of estimators based on ran-dom set observations
    • University of Houston-Downtown, Houston, Texas, December
    • Li, B. and Wang, T., On consistency of estimators based on ran-dom set observations. In Proceedings InTech'04, University of Houston-Downtown, Houston, Texas, December 2004.
    • (2004) In Proceedings InTech'04,
    • Li, B.1    Wang, T.2
  • 65
    • 85122715624 scopus 로고    scopus 로고
    • Computational aspects of the CAR model and the Shapley value,
    • to appear.
    • Li, B. and Wang, T., Computational aspects of the CAR model and the Shapley value, Information Sciences, to appear.
    • Information Sciences,
    • Li, B.1    Wang, T.2
  • 68
    • 0002066122 scopus 로고
    • Scoring rules and the inevitability of probability
    • Lindley, D.V., Scoring rules and the inevitability of probability, Intern. Statist. Rev., 50, 1-267, 1982.
    • (1982) Intern. Statist. Rev. , vol.50 , pp. 1-267
    • Lindley, D.V.1
  • 70
    • 21844497119 scopus 로고
    • Asymptotic minimax recovery of sets with smooth boundaries,
    • Mammen, E. and Tsybakov, A.B., Asymptotic minimax recovery of sets with smooth boundaries, Ann. Statist. 23(2), 502-524, 1995.
    • (1995) Ann Statist. , vol.23 , Issue.2 , pp. 502-524
    • Mammen, E.1    Tsybakov, A.B.2
  • 71
    • 0030282665 scopus 로고    scopus 로고
    • Decomposition and representation of coalitional games
    • Marinacci, M., Decomposition and representation of coalitional games, Math. Oper. Res., 21, 1000-1015, 1996.
    • (1996) Math. Oper. Res. , vol.21 , pp. 1000-1015
    • Marinacci, M.1
  • 72
    • 77957812715 scopus 로고    scopus 로고
    • Introduction to the Mathematics of Ambiguity
    • Routledge, New York,
    • Marinacci, M. and Montrucchio, L., Introduction to the Mathematics of Ambiguity. In: Gilboa, I., Ed., Uncertainty in Economic Theory, Routledge, New York, 46-107, 2004.
    • (2004) Uncertainty in Economic Theory, , pp. 46-107
    • Marinacci, M.1    Montrucchio, L.2
  • 76
    • 84966237569 scopus 로고
    • Topologies in spaces of subsets
    • Michael, E., Topologies in spaces of subsets, Trans. Amer. Math. Soc., 71, 152-182, 1951.
    • (1951) Trans. Amer. Math. Soc. , vol.71 , pp. 152-182
    • Michael, E.1
  • 80
    • 85122717083 scopus 로고    scopus 로고
    • Lecture Notes in Computer Science,
    • Springer-Verlag,
    • Nelsen, R.B., An Introduction to Copulas, Lecture Notes in Computer Science, Vol. 139, Springer-Verlag, 1999.
    • (1999) An Introduction to Copulas, , vol.139
    • Nelsen, R.B.1
  • 83
    • 0001583284 scopus 로고
    • On random sets with belief functions
    • Nguyen, H.T., On random sets with belief functions, J. Math. Anal. And Appl., 65, 531-542, 1978.
    • (1978) J. Math. Anal. And Appl. , vol.65 , pp. 531-542
    • Nguyen, H.T.1
  • 84
    • 26944488084 scopus 로고    scopus 로고
    • Survey sampling revisited and coarse data analysis
    • Nguyen, H.T., Survey sampling revisited and coarse data analysis, Thai Statistical Jornal, 2, 1-19, 2004.
    • (2004) Thai Statistical Jornal , vol.2 , pp. 1-19
    • Nguyen, H.T.1
  • 85
    • 0033101186 scopus 로고    scopus 로고
    • How to divide a territory? A new simple differential formalism for optimization of set-functions,
    • Nguyen, H.T. and Kreinovich, V., How to divide a territory? A new simple differential formalism for optimization of set-functions, Intern. J. Intell. Systems, 14, 223-251, 1999.
    • (1999) Intern. J. Intell. Systems , vol.14 , pp. 223-251
    • Nguyen, H.T.1    Kreinovich, V.2
  • 86
    • 80052925407 scopus 로고    scopus 로고
    • A negative version of Choquet theorem for Polish spaces
    • Nguyen, H.T. and Nguyen, N., A negative version of Choquet theorem for Polish spaces, East-West J. Math., 1, 61-71, 1998.
    • (1998) East-West J. Math. , vol.1 , pp. 61-71
    • Nguyen, H.T.1    Nguyen, N.2
  • 92
    • 0001642186 scopus 로고
    • The excess-mass ellipsoid
    • Nolan, D., The excess-mass ellipsoid, J. Multivariate Anal., 39, 348-371, 1991.
    • (1991) J. Multivariate Anal. , vol.39 , pp. 348-371
    • Nolan, D.1
  • 93
    • 0001206894 scopus 로고
    • Convergence and existence of random set distributions
    • Norberg, T., Convergence and existence of random set distributions, Ann. Prob., 12, 726-732, 1984.
    • (1984) Ann. Prob. , vol.12 , pp. 726-732
    • Norberg, T.1
  • 94
    • 0039093389 scopus 로고
    • Random capacities and their distributions
    • Norberg, T., Random capacities and their distributions, Prob. Theory and Random Fields, 73, 281-197, 1986.
    • (1986) Prob. Theory and Random Fields , vol.73 , pp. 197-281
    • Norberg, T.1
  • 95
    • 0042387204 scopus 로고
    • Semicontinuous processes in multidimensional extreme value theory,
    • 27-55
    • Norberg, T., Semicontinuous processes in multidimensional extreme value theory, Stochastic Process. Appl. 25(1), 27-55, 1987.
    • (1987) Stochastic Process. Appl , vol.25 , Issue.1
    • Norberg, T.1
  • 96
    • 51249167473 scopus 로고
    • On the existence of ordered couplings of random sets with applications
    • Norberg, T., On the existence of ordered couplings of random sets with applications, Israel J. Math., 77, 241-264, 1992.
    • (1992) Israel J. Math. , vol.77 , pp. 241-264
    • Norberg, T.1
  • 97
    • 0004260006 scopus 로고
    • Saunders Co., Philadelphia
    • Owen, G., Game Theory, Saunders Co., Philadelphia, 1968.
    • (1968) Game Theory
    • Owen, G.1
  • 100
    • 0002491164 scopus 로고
    • Density estimation under qualitative assumptions in higher dimensions
    • Polonik, W., Density estimation under qualitative assumptions in higher dimensions, Journ. Multi. Analysis, 55, 61-81, 1995.
    • (1995) Journ. Multi. Analysis , vol.55 , pp. 61-81
    • Polonik, W.1
  • 101
    • 0001030653 scopus 로고
    • Measuring mass concentration and estimating density con-tour clusters: an excess mass approach
    • Polonik, W., Measuring mass concentration and estimating density con-tour clusters: an excess mass approach, Ann. Statist., 23, 855-881, 1995.
    • (1995) Ann. Statist. , vol.23 , pp. 855-881
    • Polonik, W.1
  • 104
    • 0000321757 scopus 로고
    • Locally finite random sets: foundations for point process theory
    • Ripley, B., Locally finite random sets: foundations for point process theory, Ann Prob., 4, 983-994, 1976.
    • (1976) Ann Prob. , vol.4 , pp. 983-994
    • Ripley, B.1
  • 105
    • 0003065632 scopus 로고
    • On the measure of a random set
    • Robbins, H.E., On the measure of a random set, Ann. Math, Statist., 14, 70-74, 1944.
    • (1944) Ann. Math, Statist. , vol.14 , pp. 70-74
    • Robbins, H.E.1
  • 106
    • 34347166234 scopus 로고
    • Theory of Mobius functions
    • Rota, G.C., Theory of Mobius functions, Z. Wahrs. Geb., 2, 340-368, 1964.
    • (1964) Z. Wahrs. Geb. , vol.2 , pp. 340-368
    • Rota, G.C.1
  • 108
    • 0001829182 scopus 로고
    • On the convergence of sequences of convex sets in finite dimension
    • Salinetti, G. and Wets, J.B., On the convergence of sequences of convex sets in finite dimension, SIAM Review, 21, 18-33, 1979.
    • (1979) SIAM Review , vol.21 , pp. 18-33
    • Salinetti, G.1    Wets, J.B.2
  • 110
    • 0000428682 scopus 로고
    • On the convergence in distribution of measurable multifunctions (random sets) normal integrands, stochastic processes, and stochastic infima,
    • Salinetti, G. and Wets, J.B., On the convergence in distribution of measurable multifunctions (random sets), normal integrands, stochastic processes, and stochastic infima, Math. Oper. Res., 11, 385-422, 1986.
    • (1986) Math. Oper. Res. , vol.11 , pp. 385-422
    • Salinetti, G.1    Wets, J.B.2
  • 112
    • 84968501330 scopus 로고
    • Integral representation without additivity
    • Schneidler, D., Integral representation without additivity, Proceedings Amer. Math. Soc., 97, 255-261, 1986.
    • (1986) Proceedings Amer. Math. Soc. , vol.97 , pp. 255-261
    • Schneidler, D.1
  • 113
    • 4043090222 scopus 로고    scopus 로고
    • Statistical inference from set-valued observations
    • Schreiber, T., Statistical inference from set-valued observations, Prob.Math. Statist., 20, 223-235, 2000.
    • (2000) Prob.Math. Statist. , vol.20 , pp. 223-235
    • Schreiber, T.1
  • 118
    • 0000649228 scopus 로고
    • The existence of probability measures with given marginals
    • Strassen, V., The existence of probability measures with given marginals, Ann. Math. Statist., 36, 423-439, 1965.
    • (1965) Ann. Math. Statist. , vol.36 , pp. 423-439
    • Strassen, V.1
  • 120
    • 0031478562 scopus 로고    scopus 로고
    • On nonparametric estimation of density level sets
    • Tsybakov, A.B., On nonparametric estimation of density level sets, Ann. Statist., 25, 948-969, 1997.
    • (1997) Ann. Statist. , vol.25 , pp. 948-969
    • Tsybakov, A.B.1
  • 121
    • 0040900312 scopus 로고    scopus 로고
    • Preservation theorems for Glivanko-Cantelli and uniform Glivanko-Cantelli classes
    • In: Gine, E., Mason, D., and Werllner, J.A., Eds., Birkhauser, Boston
    • Van der Vaart, A.W. and Wellner, J.A. Preservation theorems for Glivanko-Cantelli and uniform Glivanko-Cantelli classes. In: Gine, E., Mason, D., and Werllner, J.A., Eds., High Dimensional Probability II, Birkhauser, Boston, 2000, pp. 113-132.
    • (2000) High Dimensional Probability , vol.II , pp. 113-132
    • Van Der Vaart, A.W.1    Wellner, J.A.2
  • 123
    • 38249030734 scopus 로고
    • Narrow and vague convergence of set-functions
    • Vervaat, W., Narrow and vague convergence of set-functions, Statist. and Prob. Letters, 6, 295-298, 1988.
    • (1988) Statist. and Prob. Letters , vol.6 , pp. 295-298
    • Vervaat, W.1
  • 124
    • 0001137927 scopus 로고
    • Survey of measurable selection theorems
    • Wagner, D.H., Survey of measurable selection theorems, SIAM J. Con-trol and Opt., 15, 859-903, 1977.
    • (1977) SIAM J. Con-trol and Opt. , vol.15 , pp. 859-903
    • Wagner, D.H.1
  • 125
    • 0002582488 scopus 로고
    • Survey of measurable selection theorems: an update
    • Wagner, D.H., Survey of measurable selection theorems: an update, Lecture Notes in Math., 749, 176-219, 1979.
    • (1979) Lecture Notes in Math. , vol.749 , pp. 176-219
    • Wagner, D.H.1
  • 127
    • 0000012623 scopus 로고
    • Prior envelopes based on belief functions
    • Wasserman, L., Prior envelopes based on belief functions, Ann. Statist., 18, 454-464, 1990.
    • (1990) Ann. Statist. , vol.18 , pp. 454-464
    • Wasserman, L.1
  • 128
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of probability
    • Zadeh, L.A., Fuzzy sets as a basis for a theory of probability, Fuzzy Sets and Systems, 1, 3-28, 1978.
    • (1978) Fuzzy Sets and Systems , vol.1 , pp. 3-28
    • Zadeh, L.A.1
  • 129
    • 0037097222 scopus 로고    scopus 로고
    • Toward a perception-based theory of probabilistic reason-ing with imprecise probabilities
    • Zadeh, L.A., Toward a perception-based theory of probabilistic reason-ing with imprecise probabilities, J. Statistic. Planning and Inference, 105, 233-264, 2002.
    • (2002) J. Statistic. Planning and Inference , vol.105 , pp. 233-264
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.