메뉴 건너뛰기




Volumn 51, Issue 1, 2006, Pages 70-85

Random and fuzzy sets in coarse data analysis

Author keywords

Coarse data analysis; Fuzzy sets; Random fuzzy sets; Random sets

Indexed keywords

DATA REDUCTION; MATHEMATICAL MODELS; PROBABILITY; SET THEORY; STATISTICAL METHODS;

EID: 33750345703     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.04.016     Document Type: Article
Times cited : (17)

References (53)
  • 3
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced from a multivalued mapping
    • Dempster A.P. Upper and lower probabilities induced from a multivalued mapping. Ann. Math. Statist. 38 (1967) 325-339
    • (1967) Ann. Math. Statist. , vol.38 , pp. 325-339
    • Dempster, A.P.1
  • 5
    • 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
  • 7
    • 0027704416 scopus 로고    scopus 로고
    • Elkan, C., 1993. The paradoxical success of fuzzy logics. Proceedings AAAI-93. Amer. Assoc. AI, 698-703.
  • 8
    • 84990553777 scopus 로고
    • Uncertainty, belief, and probability
    • Fagin R., and Halpern J.Y. Uncertainty, belief, and probability. Comput. Intelligence 7 (1991) 160-173
    • (1991) Comput. Intelligence , vol.7 , pp. 160-173
    • Fagin, R.1    Halpern, J.Y.2
  • 9
    • 4043105645 scopus 로고    scopus 로고
    • On a statistical framework for estimation from random set observations
    • Feng D.-J., and Feng D. On a statistical framework for estimation from random set observations. J. Theoret. Probab. 17 (2004) 85-110
    • (2004) J. Theoret. Probab. , vol.17 , pp. 85-110
    • Feng, D.-J.1    Feng, D.2
  • 10
    • 33750295915 scopus 로고    scopus 로고
    • Fréchet, M., 1948. Les éléments aléatoires de nature quelque dans un espace distancié. Ann. Inst. Poincaré IV, 215-310.
  • 12
    • 31144472543 scopus 로고    scopus 로고
    • Fuzzy and randomized confidence intervals and P-values (with discussions)
    • Geyer C.J., and Meeden G.D. Fuzzy and randomized confidence intervals and P-values (with discussions). Statist. Sci. 20 4 (2005) 358-366
    • (2005) Statist. Sci. , vol.20 , Issue.4 , pp. 358-366
    • Geyer, C.J.1    Meeden, G.D.2
  • 13
    • 0010791950 scopus 로고    scopus 로고
    • Fundamentals and Bayesian analyses of decision problems with fuzzy-valued utilities
    • Gil M.A., and Lopez-Diaz M. Fundamentals and Bayesian analyses of decision problems with fuzzy-valued utilities. Internat. J. Approx. Reasoning 15 (1998) 203-224
    • (1998) Internat. J. Approx. Reasoning , vol.15 , pp. 203-224
    • Gil, M.A.1    Lopez-Diaz, M.2
  • 14
    • 33750306728 scopus 로고    scopus 로고
    • Gill, R.D., Van der Laan, M.J., Robins, J.M., 1997. Coarsening at random: characterizations, conjectures, and counterexamples. In: Lecture Notes in Statistics, vol. 123. Springer, Berlin, pp. 255-294.
  • 15
    • 33750338114 scopus 로고    scopus 로고
    • Goodman, I.R., 1982. Fuzzy sets as equivalence classes of random sets. In: Yager, R. et al. (Eds.), Fuzzy Sets and Possibility Theory. Pergamon Press, New York, pp. 327-432.
  • 17
    • 0347246042 scopus 로고
    • On the scoring rule approach to the admissibility of uncertainty measures in expert systems
    • Goodman I.R., Nguyen H.T., and Rogers G.S. On the scoring rule approach to the admissibility of uncertainty measures in expert systems. Math. Anal. Appl. 159 2 (1990) 550-594
    • (1990) Math. Anal. Appl. , vol.159 , Issue.2 , pp. 550-594
    • Goodman, I.R.1    Nguyen, H.T.2    Rogers, G.S.3
  • 19
    • 84963056434 scopus 로고
    • On representatives of subsets
    • Hall P. On representatives of subsets. J. London Math. Soc. 10 (1935) 26-30
    • (1935) J. London Math. Soc. , vol.10 , pp. 26-30
    • Hall, P.1
  • 21
    • 0001341972 scopus 로고
    • Estimation of a convex density contour in two dimensions
    • Hartigan J.A. Estimation of a convex density contour in two dimensions. J. Amer. Statist. Assoc. 82 (1987) 267-270
    • (1987) J. Amer. Statist. Assoc. , vol.82 , pp. 267-270
    • Hartigan, J.A.1
  • 22
    • 0000993483 scopus 로고
    • Ignorability and coarse data
    • Heitjan D.F., and Rubin D.B. Ignorability and coarse data. Ann. Statist. 19 (1991) 2244-2253
    • (1991) Ann. Statist. , vol.19 , pp. 2244-2253
    • Heitjan, D.F.1    Rubin, D.B.2
  • 26
    • 0002066122 scopus 로고
    • Scoring rules and the inevitability of probability
    • Lindley D.V. Scoring rules and the inevitability of probability. Internat. Statist. Rev. 50 (1982) 1-26
    • (1982) Internat. Statist. Rev. , vol.50 , pp. 1-26
    • Lindley, D.V.1
  • 29
    • 0037380577 scopus 로고    scopus 로고
    • Extreme points of credal sets generated by 2-alternating capacities
    • Miranda E., Couso I., and Gil P. Extreme points of credal sets generated by 2-alternating capacities. Internat. J. Approx. Reasoning 33 (2003) 95-115
    • (2003) Internat. J. Approx. Reasoning , vol.33 , pp. 95-115
    • Miranda, E.1    Couso, I.2    Gil, P.3
  • 30
    • 9544230691 scopus 로고    scopus 로고
    • A random set characterization of possibility measures
    • Miranda E., Couso I., and Gil P. A random set characterization of possibility measures. Inform. Sci. 168 1-4 (2004) 51-75
    • (2004) Inform. Sci. , vol.168 , Issue.1-4 , pp. 51-75
    • Miranda, E.1    Couso, I.2    Gil, P.3
  • 32
    • 0035271558 scopus 로고    scopus 로고
    • Two-sample hypothesis tests of means of a fuzzy random variable
    • Montenegro M., Casals M.R., Lubiano M.A., and Gil M.A. Two-sample hypothesis tests of means of a fuzzy random variable. Inform. Sci. 133 (2001) 89-100
    • (2001) Inform. Sci. , vol.133 , pp. 89-100
    • Montenegro, M.1    Casals, M.R.2    Lubiano, M.A.3    Gil, M.A.4
  • 33
    • 17444382280 scopus 로고    scopus 로고
    • Asymptotic and bootstrap techniques for testing the expected value of a fuzzy random variable
    • Montenegro M., Colubi A., Casals M.R., and Gil M.A. Asymptotic and bootstrap techniques for testing the expected value of a fuzzy random variable. Metrika 59 (2004) 31-49
    • (2004) Metrika , vol.59 , pp. 31-49
    • Montenegro, M.1    Colubi, A.2    Casals, M.R.3    Gil, M.A.4
  • 34
    • 84972511825 scopus 로고
    • Quantifying probabilistic expressions
    • Mosteller F., and Youtz C. Quantifying probabilistic expressions. Statist. Sci. 5 1 (1990) 2-34
    • (1990) Statist. Sci. , vol.5 , Issue.1 , pp. 2-34
    • Mosteller, F.1    Youtz, C.2
  • 35
    • 26944488084 scopus 로고    scopus 로고
    • Survey sampling revisited and coarse data analysis
    • Nguyen H.T. Survey sampling revisited and coarse data analysis. Thailand Statist. 2 (2004) 1-19
    • (2004) Thailand Statist. , vol.2 , pp. 1-19
    • Nguyen, H.T.1
  • 37
    • 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. Internat. J. Intell. Systems 14 (1999) 223-251
    • (1999) Internat. J. Intell. Systems , vol.14 , pp. 223-251
    • Nguyen, H.T.1    Kreinovich, V.2
  • 41
    • 0030151849 scopus 로고    scopus 로고
    • Is the success of fuzzy logics really paradoxical?
    • Nguyen H.T., Kosheva O., and Kreinovich V. Is the success of fuzzy logics really paradoxical?. J. Intell. Syst. 11 5 (1996) 295-326
    • (1996) J. Intell. Syst. , vol.11 , Issue.5 , pp. 295-326
    • Nguyen, H.T.1    Kosheva, O.2    Kreinovich, V.3
  • 42
    • 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 (1992) 241-264
    • (1992) Israel J. Math. , vol.77 , pp. 241-264
    • Norberg, T.1
  • 44
    • 0002491164 scopus 로고
    • Density estimation under qualitative assumptions in higher dimensions
    • Polonik W. Density estimation under qualitative assumptions in higher dimensions. J. Multi. Anal. 55 (1995) 61-81
    • (1995) J. Multi. Anal. , vol.55 , pp. 61-81
    • Polonik, W.1
  • 45
    • 4043090222 scopus 로고    scopus 로고
    • Statistical inference from set-valued observations
    • Schreiber T. Statistical inference from set-valued observations. Probab. Math. Statist. 20 (2000) 223-235
    • (2000) Probab. Math. Statist. , vol.20 , pp. 223-235
    • Schreiber, T.1
  • 48
    • 4944249799 scopus 로고    scopus 로고
    • Membership functions and probability measures of fuzzy sets
    • Singpurwalla N.D., and Booker J.M. Membership functions and probability measures of fuzzy sets. J. Amer. Statist. Assoc. 99 467 (2004) 867-889
    • (2004) J. Amer. Statist. Assoc. , vol.99 , Issue.467 , pp. 867-889
    • Singpurwalla, N.D.1    Booker, J.M.2
  • 49
    • 0001137927 scopus 로고
    • Survey of measurable selection theorems
    • Wagner D.H. Survey of measurable selection theorems. SIAM J. Control Optim. 15 (1977) 859-903
    • (1977) SIAM J. Control Optim. , vol.15 , pp. 859-903
    • Wagner, D.H.1
  • 51
    • 0000123866 scopus 로고
    • Measuring the vague meaning of probability terms
    • Wallsten T.S. Measuring the vague meaning of probability terms. J. Experiment. Psychol. 115 4 (1986) 348-365
    • (1986) J. Experiment. Psychol. , vol.115 , Issue.4 , pp. 348-365
    • Wallsten, T.S.1
  • 52
    • 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) 2-28
    • (1978) Fuzzy Sets and Systems , vol.1 , pp. 2-28
    • Zadeh, L.A.1
  • 53
    • 0037097222 scopus 로고    scopus 로고
    • Toward a perception-based theory of probabilistic reasoning with imprecise probabilities
    • Zadeh L.A. Toward a perception-based theory of probabilistic reasoning with imprecise probabilities. J. Statist. Plann. Inference 102 (2002) 233-264
    • (2002) J. Statist. Plann. Inference , vol.102 , pp. 233-264
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.