메뉴 건너뛰기




Volumn 23, Issue 2, 2008, Pages 199-212

Fuzzy integrals-what are they?

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; INTELLIGENT SYSTEMS;

EID: 38949154783     PISSN: 08848173     EISSN: 1098111X     Source Type: Journal    
DOI: 10.1002/int.20264     Document Type: Conference Paper
Times cited : (18)

References (50)
  • 1
    • 9444256458 scopus 로고    scopus 로고
    • Fuzzy integrals
    • Torra V, Narukawa Y, editors. Modeling decisions for artificial intelligence, Berlin: Springer;
    • Mesiar R, Mesiarová A. Fuzzy integrals. In: Torra V, Narukawa Y, editors. Modeling decisions for artificial intelligence, Lecture Notes in Artificial Intelligence, Vol. 3131. Berlin: Springer; 2004, pp. 5-14.
    • (2004) Lecture Notes in Artificial Intelligence , vol.3131 , pp. 5-14
    • Mesiar, R.1    Mesiarová, A.2
  • 2
    • 3042692052 scopus 로고    scopus 로고
    • Pap E, editor, Amsterdam: Elsevier Science;
    • Pap E. (editor). Handbook of measure theory. Amsterdam: Elsevier Science; 2002.
    • (2002) Handbook of measure theory
  • 3
    • 31444441448 scopus 로고    scopus 로고
    • Extremal fuzzy integrals
    • Struk P. Extremal fuzzy integrals. Soft Computing 2006; 10:502-505.
    • (2006) Soft Computing , vol.10 , pp. 502-505
    • Struk, P.1
  • 5
    • 38949189887 scopus 로고
    • Dissertationes Math. (Rozprawy Mat.)
    • Dobrakov I. On submeasures. I. Dissertationes Math. (Rozprawy Mat.) 1974;112: 35.
    • (1974) , vol.112 , pp. 35
    • Dobrakov, I.1    On submeasures, I.2
  • 8
    • 0347046554 scopus 로고    scopus 로고
    • Vitali G. Sulla definizione di integrale delle funzioni di una variabile. Ann Mat Pura ed Appl. IV 1925;2:111-121. On the definition of integral of one variable. Riv Mathe le Sci Soc 1997;20:159-168 English translation.
    • Vitali G. Sulla definizione di integrale delle funzioni di una variabile. Ann Mat Pura ed Appl. IV 1925;2:111-121. On the definition of integral of one variable. Riv Mathe le Sci Soc 1997;20:159-168 English translation.
  • 9
    • 0000748168 scopus 로고
    • Theory of capacities
    • Choquet G. Theory of capacities. Ann Inst Fourier 1953-1954;5:131-295.
    • (1953) Ann Inst Fourier , vol.5 , pp. 131-295
    • Choquet, G.1
  • 10
    • 0001106394 scopus 로고
    • Integral with respect to premeasure
    • Šipoš J. Integral with respect to premeasure. Math Slovaca 1979;29:141-145.
    • (1979) Math Slovaca , vol.29 , pp. 141-145
    • Šipoš, J.1
  • 11
    • 49949126152 scopus 로고
    • Probability measure of fuzzy events
    • Zadeh LA. Probability measure of fuzzy events. J Math Anal Appl 1968;23:421-427.
    • (1968) J Math Anal Appl , vol.23 , pp. 421-427
    • Zadeh, L.A.1
  • 12
    • 0011487986 scopus 로고
    • Characterization of fuzzy measures constructed by means of triangular norms
    • Klement EP. Characterization of fuzzy measures constructed by means of triangular norms. J Math Anal Appl 1982;86:345-358.
    • (1982) J Math Anal Appl , vol.86 , pp. 345-358
    • Klement, E.P.1
  • 13
    • 0003317945 scopus 로고    scopus 로고
    • Triangular norms
    • Studia Logica Library, Dordrecht: Kluwer
    • Klement EP, Mesiar R, Pap E. Triangular norms. Trends in Logic, Vol. 8. Studia Logica Library, Dordrecht: Kluwer, 2000.
    • (2000) Trends in Logic , vol.8
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 14
    • 0012727441 scopus 로고    scopus 로고
    • Monotone set functions-based integrals
    • Pap E, editor, Amsterdam: Elsevier Science;
    • Benvenuti P, Mesiar R, Vivona D. Monotone set functions-based integrals. In: Pap E., editor. Handbook of measure theory. Amsterdam: Elsevier Science; 2002. pp. 1329-1380.
    • (2002) Handbook of measure theory , pp. 1329-1380
    • Benvenuti, P.1    Mesiar, R.2    Vivona, D.3
  • 15
    • 17644434375 scopus 로고    scopus 로고
    • Triangular norm-based iterative compensatory operators
    • Kolesárová A, Komorníkova M. Triangular norm-based iterative compensatory operators. Fuzzy Sets Syst 1999;104:109-120.
    • (1999) Fuzzy Sets Syst , vol.104 , pp. 109-120
    • Kolesárová, A.1    Komorníkova, M.2
  • 16
    • 0012701181 scopus 로고    scopus 로고
    • Aggregation operators
    • Calvo T, Mayor G, Mesiar R, editors, Heidelberg: Physica-Verlag;
    • Calvo T, Mayor G, Mesiar R. (editors). Aggregation operators. New Trends and Applications. Heidelberg: Physica-Verlag; 2002.
    • (2002) New Trends and Applications
  • 18
    • 84968501330 scopus 로고
    • Integral representation without additivity
    • Schmeidler D. Integral representation without additivity. Proc Am Math Soc 1986;97:255-261.
    • (1986) Proc Am Math Soc , vol.97 , pp. 255-261
    • Schmeidler, D.1
  • 21
    • 0004202202 scopus 로고
    • Coherent lower (and upper) probabilities
    • Technical Report. University of Warwick
    • Walley. P. Coherent lower (and upper) probabilities. Technical Report. University of Warwick, 1981.
    • (1981)
    • Walley, P.1
  • 22
    • 49349133217 scopus 로고
    • Fuzzy sets as a basis for a theory of possibility
    • Zadeh LA. Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst 1978; 1:3-28.
    • (1978) Fuzzy Sets Syst , vol.1 , pp. 3-28
    • Zadeh, L.A.1
  • 24
    • 2942669654 scopus 로고    scopus 로고
    • A note on Sugeno and Choquet integrals
    • Madrid;
    • Benvenuti P, Mesiar R. A note on Sugeno and Choquet integrals. In: Proc IPMU Madrid; 2000. pp. 582-585.
    • (2000) Proc IPMU , pp. 582-585
    • Benvenuti, P.1    Mesiar, R.2
  • 25
    • 0000989206 scopus 로고    scopus 로고
    • On Sugeno integral as an aggregation function
    • Marichal JL. On Sugeno integral as an aggregation function. Fuzzy Sets Syst 2000; 114:347-365.
    • (2000) Fuzzy Sets Syst , vol.114 , pp. 347-365
    • Marichal, J.L.1
  • 26
    • 0034165513 scopus 로고    scopus 로고
    • Integral representation of invariant functionals
    • Ovchinnikov S, Dukhovny A. Integral representation of invariant functionals. J Math Anal Appl 2000;244:228-232.
    • (2000) J Math Anal Appl , vol.244 , pp. 228-232
    • Ovchinnikov, S.1    Dukhovny, A.2
  • 27
    • 0001677575 scopus 로고
    • Maxitive measures and integration
    • Shilkret V. Maxitive measures and integration. Indag Math 1971;33:109-116.
    • (1971) Indag Math , vol.33 , pp. 109-116
    • Shilkret, V.1
  • 28
    • 0012657561 scopus 로고
    • Two integrals and some modified versions: Critical remarks
    • Weber S. Two integrals and some modified versions: Critical remarks. Fuzzy Sets Syst 1986;20:97-105.
    • (1986) Fuzzy Sets Syst , vol.20 , pp. 97-105
    • Weber, S.1
  • 29
    • 0010365830 scopus 로고
    • Choquet-like integrals
    • Mesiar R. Choquet-like integrals. J Math Anal Appl 1995; 194:477-488.
    • (1995) J Math Anal Appl , vol.194 , pp. 477-488
    • Mesiar, R.1
  • 30
    • 85150403708 scopus 로고    scopus 로고
    • Imaoka H. On a subjective evaluation model by a generalized fuzzy integral. Int J Uncertain Fuzziness, Knowledge-Based Syst 1997;5:517-529.
    • Imaoka H. On a subjective evaluation model by a generalized fuzzy integral. Int J Uncertain Fuzziness, Knowledge-Based Syst 1997;5:517-529.
  • 32
    • 0001999674 scopus 로고
    • Fuzzy t-conorm integrals with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral
    • Murofushi T, Sugeno M. Fuzzy t-conorm integrals with respect to fuzzy measures: Generalization of Sugeno integral and Choquet integral. Fuzzy Sets Syst 1991;42:57-71.
    • (1991) Fuzzy Sets Syst , vol.42 , pp. 57-71
    • Murofushi, T.1    Sugeno, M.2
  • 33
    • 1342328032 scopus 로고    scopus 로고
    • Pseudo-arithmetical operations as a basis for the general measure and integration theory
    • Benvenuti P, Mesiar R. Pseudo-arithmetical operations as a basis for the general measure and integration theory. Inform Sci 2004;160:1-11.
    • (2004) Inform Sci , vol.160 , pp. 1-11
    • Benvenuti, P.1    Mesiar, R.2
  • 34
    • 38949159032 scopus 로고    scopus 로고
    • Siedekum J. Multiplikation und t-Conorm integral. PhD. doctoral dissertations, TU Braunschweig, 2002.
    • Siedekum J. Multiplikation und t-Conorm integral. PhD. doctoral dissertations, TU Braunschweig, 2002.
  • 35
    • 0000795592 scopus 로고
    • Fonctions de répartition à n dimensions et leurs marges.
    • Sklar A. Fonctions de répartition à n dimensions et leurs marges. Publ Inst Statist Univ Paris 1959;8:229-231.
    • (1959) Publ Inst Statist Univ Paris , vol.8 , pp. 229-231
    • Sklar, A.1
  • 36
    • 0000022886 scopus 로고
    • Copulas, characterization, correlation, and counterexamples
    • Nelsen RB. Copulas, characterization, correlation, and counterexamples. Math Mag 1995;68:193-198.
    • (1995) Math Mag , vol.68 , pp. 193-198
    • Nelsen, R.B.1
  • 37
    • 0003323490 scopus 로고    scopus 로고
    • An introduction to copulas
    • New York: Springer;
    • Nelsen RB. An introduction to copulas. Lecture Notes in Statistics Vol. 139, New York: Springer; 1999.
    • (1999) Lecture Notes in Statistics , vol.139
    • Nelsen, R.B.1
  • 40
    • 0003069505 scopus 로고
    • Une contribution a la théorie de la mesure.
    • Tarski A. Une contribution a la théorie de la mesure. Fund Math 1930; 15:42-50.
    • (1930) Fund Math , vol.15 , pp. 42-50
    • Tarski, A.1
  • 41
    • 1542400652 scopus 로고    scopus 로고
    • On Tarski's contribution to the additive measure theory and its consequences
    • Benvenuti P, Mesiar R. On Tarski's contribution to the additive measure theory and its consequences. Ann Pure Appl Logic 2004;126:281-286.
    • (2004) Ann Pure Appl Logic , vol.126 , pp. 281-286
    • Benvenuti, P.1    Mesiar, R.2
  • 42
    • 44049114218 scopus 로고
    • Characterization and comparison of Sugeno and Choquet integrals
    • de Campos LM, Bolaňos MJ. Characterization and comparison of Sugeno and Choquet integrals. Fuzzy Sets Syst 1993;52:61-67.
    • (1993) Fuzzy Sets Syst , vol.52 , pp. 61-67
    • de Campos, L.M.1    Bolaňos, M.J.2
  • 43
    • 38949137634 scopus 로고    scopus 로고
    • Torra V. Twofold integral: A Choquet integral and Sugeno integral generalization. Bull Assoc Catalana d'Intell Arti 2003;29:13-20 (in Catalan). Preliminary version: IIIA Research Report TR-2003-08 (in English).
    • Torra V. Twofold integral: A Choquet integral and Sugeno integral generalization. Bull Assoc Catalana d'Intell Arti 2003;29:13-20 (in Catalan). Preliminary version: IIIA Research Report TR-2003-08 (in English).
  • 44
    • 9444254449 scopus 로고    scopus 로고
    • Generalization of twofold integral and its interpretation
    • Zittau, pp
    • Narukawa Y, Torra V. Generalization of twofold integral and its interpretation. In: Proc EUSFLAT, 2003, Zittau, pp. 718-722.
    • (2003) Proc EUSFLAT , pp. 718-722
    • Narukawa, Y.1    Torra, V.2
  • 45
    • 1642286632 scopus 로고    scopus 로고
    • Construction of aggregation operators: New composition method
    • Calvo T, Mesiarová A, Valáškova, L'. Construction of aggregation operators: New composition method. Kybernetika 2003;39:643-650.
    • (2003) Kybernetika , vol.39 , pp. 643-650
    • Calvo, T.1    Mesiarová, A.2    Valáškova3    L'4
  • 46
    • 0141865548 scopus 로고    scopus 로고
    • The symmetric Sugeno integral
    • Grabisch M. The symmetric Sugeno integral. Fuzzy Sets Syst 2003;139:473-490.
    • (2003) Fuzzy Sets Syst , vol.139 , pp. 473-490
    • Grabisch, M.1
  • 47
    • 1642369537 scopus 로고    scopus 로고
    • Bi-capacities for decision making on bipolar scales
    • Varenna. pp
    • Grabisch M, Labreuche Ch. Bi-capacities for decision making on bipolar scales. Proc EUROFUSE 2002 Varenna. pp. 185-190.
    • (2002) Proc EUROFUSE , pp. 185-190
    • Grabisch, M.1    Labreuche, C.2
  • 49
    • 25444517616 scopus 로고    scopus 로고
    • Sander W, Siedekum J. Multiplication, distributivity and fuzzy integral, I, II, III. Kybernetika 2005;41:397-422,469-496,497-518.
    • Sander W, Siedekum J. Multiplication, distributivity and fuzzy integral, I, II, III. Kybernetika 2005;41:397-422,469-496,497-518.
  • 50
    • 84990553605 scopus 로고
    • Representation and combination of uncertainty with belief functions and possibility measures
    • Dubois D, Prade H. Representation and combination of uncertainty with belief functions and possibility measures. Comput Intell 1988;4:244-264.
    • (1988) Comput Intell , vol.4 , pp. 244-264
    • Dubois, D.1    Prade, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.