메뉴 건너뛰기




Volumn 48, Issue 1, 2004, Pages 15-27

Measure and integral with purely ordinal scales

Author keywords

Bipolar scale; Capacity; Integral; Nonadditive measure; Ordinal scale

Indexed keywords


EID: 1542406434     PISSN: 00222496     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmp.2003.11.002     Document Type: Article
Times cited : (24)

References (30)
  • 1
    • 1542749240 scopus 로고    scopus 로고
    • Reconciling introspective utility with revealed preference; experimental arguments based on prospect theory
    • Technical report, CREED, Department of Economics, Amsterdam, The Netherlands
    • Abdellaoui, M., Barrios, C., & Wakker, P. (2002). Reconciling introspective utility with revealed preference; experimental arguments based on prospect theory. Technical report, CREED, Department of Economics, Amsterdam, The Netherlands.
    • (2002)
    • Abdellaoui, M.1    Barrios, C.2    Wakker, P.3
  • 2
    • 0000541635 scopus 로고
    • Utility theory without the completeness axiom
    • Aumann, R. (1962). Utility theory without the completeness axiom. Econometrica, 30(3), 445-462.
    • (1962) Econometrica , vol.30 , Issue.3 , pp. 445-462
    • Aumann, R.1
  • 3
    • 0004190631 scopus 로고
    • (3rd ed.). Providence RI: American Mathematical Society
    • Birkhoff, G. (1967). Lattice Theory (3rd ed.). Providence RI: American Mathematical Society.
    • (1967) Lattice Theory
    • Birkhoff, G.1
  • 4
    • 23044530652 scopus 로고    scopus 로고
    • Max-min (σ-)additive representation of monotone measures
    • Brüning, M., & Denneberg, D. (2002). Max-min (σ-)additive representation of monotone measures. Statistical Papers, 43, 23-35.
    • (2002) Statistical Papers , vol.43 , pp. 23-35
    • Brüning, M.1    Denneberg, D.2
  • 5
    • 0003465639 scopus 로고
    • Theory and Decision Library: Series B (2nd ed., 1997). Dordrecht, Boston: Kluwer Academic
    • Denneberg, D. (1994). Non-additive measure and integral, Theory and Decision Library: Series B, Vol. 27 (2nd ed., 1997). Dordrecht, Boston: Kluwer Academic.
    • (1994) Non-additive Measure and Integral , vol.27
    • Denneberg, D.1
  • 6
    • 0009445762 scopus 로고    scopus 로고
    • Non-additive measure and integral, basic concepts and their rôle for applications
    • M. Grabisch, T. Murofushi, & M. Sugeno (Eds.), Studies in fuzziness and soft computing, Heidelberg: Physica-Verlag
    • Denneberg, D. (1999). Non-additive measure and integral, basic concepts and their rôle for applications. In M. Grabisch, T. Murofushi, & M. Sugeno (Eds.), Fuzzy Measures and integrals - theory and applications. Studies in fuzziness and soft computing, Vol. 40. Heidelberg: Physica-Verlag. pp. 42-69.
    • (1999) Fuzzy Measures and Integrals - Theory and Applications , vol.40 , pp. 42-69
    • Denneberg, D.1
  • 7
    • 85030881441 scopus 로고    scopus 로고
    • Functions and measures with linear ordinal scales, (a-)symmetric Sugeno integral and ordinal Ky Fan distance
    • Second international symposium on imprecise probabilities and their applications, Ithaca, New York, June 2001
    • Denneberg, D., & Grabisch, M. (2001). Functions and measures with linear ordinal scales, (a-)symmetric Sugeno integral and ordinal Ky Fan distance. Second international symposium on imprecise probabilities and their applications, Ithaca, New York, June 2001.
    • (2001)
    • Denneberg, D.1    Grabisch, M.2
  • 10
    • 0003875839 scopus 로고
    • Real analysis and probability
    • Pacific Grove: Wadsworth and Brooks/Cole
    • Dudley, R. M. (1989). Real analysis and probability. Pacific Grove: Wadsworth and Brooks/Cole.
    • (1989)
    • Dudley, R.M.1
  • 11
    • 0038629779 scopus 로고
    • Entfernung zweier zufälliger Größen und die Konvergenz nach Wahrscheinlichkeit
    • Fan
    • Fan (1944). Entfernung zweier zufälliger Größen und die Konvergenz nach Wahrscheinlichkeit. Mathematische Zeitschrift, 49, 681-683.
    • (1944) Mathematische Zeitschrift , vol.49 , pp. 681-683
  • 12
    • 0004243374 scopus 로고
    • The Foundations of Expected Utility
    • Dordrecht: Reidel
    • Fishburn, P. (1982). The Foundations of Expected Utility. Dordrecht: Reidel.
    • (1982)
    • Fishburn, P.1
  • 13
    • 85030888590 scopus 로고    scopus 로고
    • The Möbius transform on symmetric ordered structures and its application to capacities on finite sets
    • submitted
    • Grabisch, M. (2002a). The Möbius transform on symmetric ordered structures and its application to capacities on finite sets. Discrete Mathematics, submitted.
    • (2002) Discrete Mathematics
    • Grabisch, M.1
  • 14
    • 0141865548 scopus 로고    scopus 로고
    • The symmetric Sugeno integral
    • Grabisch, M. (2002b). The symmetric Sugeno integral. Fuzzy Sets and Systems, 139, 473-490.
    • (2002) Fuzzy Sets and Systems , vol.139 , pp. 473-490
    • Grabisch, M.1
  • 16
    • 0004277741 scopus 로고
    • General lattice theory
    • Basel: Birkhäuser
    • Grätzer, G. (1978). General lattice theory. Basel: Birkhäuser.
    • (1978)
    • Grätzer, G.1
  • 17
    • 0000520272 scopus 로고
    • The predictive utility of generalized expected utility theories
    • Harless, D., & Camerer, C. (1994). The predictive utility of generalized expected utility theories. Econometrica, 62, 1251-1289.
    • (1994) Econometrica , vol.62 , pp. 1251-1289
    • Harless, D.1    Camerer, C.2
  • 18
    • 0002615630 scopus 로고
    • A reconsideration of the theory of value: I, II
    • 52-75
    • Hicks, J., & Allen, A. (1934). A reconsideration of the theory of value: I, II. Economica, 1, 52-75; 196-219.
    • (1934) Economica , vol.1 , pp. 196-219
    • Hicks, J.1    Allen, A.2
  • 19
    • 0000125532 scopus 로고
    • Prospect theory: An analysis of decision under risk
    • Kahneman, D., & Tversky, A. (1979). Prospect theory: An analysis of decision under risk. Econometrica, 47, 263-291.
    • (1979) Econometrica , vol.47 , pp. 263-291
    • Kahneman, D.1    Tversky, A.2
  • 20
    • 23544462307 scopus 로고    scopus 로고
    • Ordinal integration
    • 9th international conference on information processing and management of uncertainty in knowledge-based systems (IPMU'2002), Annecy. France, July 2002
    • Koshevoy, G. (2002). Ordinal integration. In 9th international conference on information processing and management of uncertainty in knowledge-based systems (IPMU'2002), Annecy. France, July 2002, pp. 516-520.
    • (2002) , pp. 516-520
    • Koshevoy, G.1
  • 21
    • 0000989206 scopus 로고    scopus 로고
    • On Sugeno integral as an aggregation function
    • Marichal, J. L. (2000). On Sugeno integral as an aggregation function. Fuzzy Sets and Systems, 114, 347-365.
    • (2000) Fuzzy Sets and Systems , vol.114 , pp. 347-365
    • Marichal, J.L.1
  • 22
    • 85034956171 scopus 로고
    • Verbandstheoretische Grundlagen der Intervall-Mathematik
    • K. Nickel (Ed.), Lecture Notes in computer science, Berlin: Springer
    • Nickel, K. (1975). Verbandstheoretische Grundlagen der Intervall-Mathematik. In K. Nickel (Ed.), Interval mathematics. Lecture Notes in computer science, Vol. 29, Berlin: Springer.
    • (1975) Interval Mathematics , vol.29
    • Nickel, K.1
  • 23
    • 0003623149 scopus 로고
    • The measurement of meaning
    • Urbana, IL: University of Illinois Press
    • Osgood, C. E., Suci, G. J., & Tannenbaum, P. H. (1957). The measurement of meaning. Urbana, IL: University of Illinois Press.
    • (1957)
    • Osgood, C.E.1    Suci, G.J.2    Tannenbaum, P.H.3
  • 24
    • 0041908204 scopus 로고    scopus 로고
    • Representing subjective orderings of random variables: An extension
    • Rubos, B. (2001). Representing subjective orderings of random variables: an extension. Journal of Mathematical Economics, 36, 31-43.
    • (2001) Journal of Mathematical Economics , vol.36 , pp. 31-43
    • Rubos, B.1
  • 25
    • 77956861814 scopus 로고
    • Social choice theory
    • K. Arrow, & M. Intriligator (Eds.), Amsterdam: North-Holland
    • Sen, A. (1986). Social choice theory. In K. Arrow, & M. Intriligator (Eds.), Handbook of mathematical economics, vol. III. Amsterdam: North-Holland, pp. 1073-1181.
    • (1986) Handbook of Mathematical Economics , vol.3 , pp. 1073-1181
    • Sen, A.1
  • 26
    • 0004209735 scopus 로고
    • A mathematical theory of evidence
    • Princeton: Princeton University Press
    • Shafer, G. (1976). A mathematical theory of evidence. Princeton: Princeton University Press.
    • (1976)
    • Shafer, G.1
  • 28
    • 0003591772 scopus 로고
    • Theory of fuzzy integrals and its applications
    • Ph.D. thesis, Tokyo Institute of Technology
    • Sugeno, M. (1974). Theory of fuzzy integrals and its applications. Ph.D. thesis, Tokyo Institute of Technology.
    • (1974)
    • Sugeno, M.1
  • 29
    • 84890749086 scopus 로고    scopus 로고
    • Supermodularity and complementarity
    • Princeton: Princeton University Press
    • Topkis, D. M. (1998). Supermodularity and complementarity. Princeton: Princeton University Press.
    • (1998)
    • Topkis, D.M.1
  • 30
    • 0003697258 scopus 로고
    • Additive representations of preferences
    • Drodrecht: Kluwer Academic Publishers
    • Wakker, P. (1989). Additive representations of preferences. Drodrecht: Kluwer Academic Publishers.
    • (1989)
    • Wakker, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.