메뉴 건너뛰기




Volumn 47, Issue 3, 2008, Pages 352-358

Fuzzy integrals and linearity

Author keywords

Additivity; Choquet integral; Fuzzy integral; Fuzzy measure; Linearity; Pseudo linearity; Sugeno integral

Indexed keywords

FUZZY RULES; PROBLEM SOLVING;

EID: 38149056549     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2007.05.013     Document Type: Article
Times cited : (40)

References (34)
  • 1
    • 38149131371 scopus 로고    scopus 로고
    • P. Benvenuti, R. Mesiar, A note on Sugeno and Choquet integrals. in: Proceedings of the IPMU, Madrid, 2000, pp. 582-585.
  • 2
    • 0012727441 scopus 로고    scopus 로고
    • Monotone set functions-based integrals
    • Pap E. (Ed), Elsevier
    • Benvenuti P., Mesiar R., and Vivona D. Monotone set functions-based integrals. In: Pap E. (Ed). Handbook of Measure Theory vol. II (2002), Elsevier 1329-1379
    • (2002) Handbook of Measure Theory , vol.II , pp. 1329-1379
    • Benvenuti, P.1    Mesiar, R.2    Vivona, D.3
  • 3
    • 38149065340 scopus 로고    scopus 로고
    • P. Benvenuti R. Mesiar, Integrals with respect to a general fuzzy measure. in: M. Grabisch et al. Fuzzy Measures and Integrals, Theory and applications Stud. Fuzziness Soft Computer, 40, 2000 Physica-Verlag, Heidelberg, pp. 205-232.
  • 4
    • 1342328032 scopus 로고    scopus 로고
    • Pseudo-arithmetical operations as a basis for the general measure and integration theory
    • Benvenuti P., and Mesiar R. Pseudo-arithmetical operations as a basis for the general measure and integration theory. Informa. Sci. 160 (2004) 1-11
    • (2004) Informa. Sci. , vol.160 , pp. 1-11
    • Benvenuti, P.1    Mesiar, R.2
  • 5
    • 0000748168 scopus 로고
    • Theory of capacities
    • Choquet G. Theory of capacities. Ann. Inst. Fourier 5 (1953-1954) 131-295
    • (1953) Ann. Inst. Fourier , vol.5 , pp. 131-295
    • Choquet, G.1
  • 9
    • 38149057557 scopus 로고
    • Fuzzy integrals based on pseudo-addition and multiplication
    • Ishihachi H., Tanaka H., and Asai K. Fuzzy integrals based on pseudo-addition and multiplication. J. Math. Anal. Appl. 130 (1988) 354-364
    • (1988) J. Math. Anal. Appl. , vol.130 , pp. 354-364
    • Ishihachi, H.1    Tanaka, H.2    Asai, K.3
  • 10
    • 27744567805 scopus 로고    scopus 로고
    • ∧-Homogeneity properties of seminormed fuzzy integrals
    • Kim M.H. ∧-Homogeneity properties of seminormed fuzzy integrals. Fuzzy Sets Syst. 157 (2006) 411-426
    • (2006) Fuzzy Sets Syst. , vol.157 , pp. 411-426
    • Kim, M.H.1
  • 12
    • 0347055373 scopus 로고    scopus 로고
    • Integration with respect to decomposable measures, based on a conditionally distributive semiring on the unit interval
    • Klement E.P., Mesiar R., and Pap E. Integration with respect to decomposable measures, based on a conditionally distributive semiring on the unit interval. Int. J. Uncertain Fuzzi. Knowledge-Based Syst. 8 (2000) 701-717
    • (2000) Int. J. Uncertain Fuzzi. Knowledge-Based Syst. , vol.8 , pp. 701-717
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 13
    • 0000989206 scopus 로고    scopus 로고
    • On Sugeno integral as an aggregation function
    • Marichal J.-L. On Sugeno integral as an aggregation function. Fuzzy Set Syst. 114 3 (2000) 347-365
    • (2000) Fuzzy Set Syst. , vol.114 , Issue.3 , pp. 347-365
    • Marichal, J.-L.1
  • 14
    • 0002465560 scopus 로고    scopus 로고
    • A note on g-derivative and g-integral
    • Marková A. A note on g-derivative and g-integral. Tatra Mt. Math. Publ. 8 (1996) 71-76
    • (1996) Tatra Mt. Math. Publ. , vol.8 , pp. 71-76
    • Marková, A.1
  • 15
    • 0010365830 scopus 로고
    • Choquet like integrals
    • Mesiar R. Choquet like integrals. J. Math. Anal. Appl. 194 (1995) 477-488
    • (1995) J. Math. Anal. Appl. , vol.194 , pp. 477-488
    • Mesiar, R.1
  • 16
    • 0002606633 scopus 로고    scopus 로고
    • Pseudo-linear integrals and derivatives based on a generator g
    • Mesiar R. Pseudo-linear integrals and derivatives based on a generator g. Tatra Mt. Math. Publ. 8 (1996) 67-70
    • (1996) Tatra Mt. Math. Publ. , vol.8 , pp. 67-70
    • Mesiar, R.1
  • 17
    • 38149102526 scopus 로고    scopus 로고
    • R. Mesiar, A. Mesiarová, Fuzzy integrals - What are they?, Int. J. Intell. Systems, in press.
  • 21
    • 3042692052 scopus 로고    scopus 로고
    • Pap E. (Ed), Elsevier Science, Amsterdam
    • In: Pap E. (Ed). Handbook of Measure Theory (2002), Elsevier Science, Amsterdam
    • (2002) Handbook of Measure Theory
  • 22
    • 84968501330 scopus 로고
    • Integral representation without additivity
    • Schmeidler D. Integral representation without additivity. Proc. Am. Math. Soc. 97 (1986) 255-261
    • (1986) Proc. Am. Math. Soc. , vol.97 , pp. 255-261
    • Schmeidler, D.1
  • 23
    • 0001677575 scopus 로고
    • Maxitive measures and integration
    • Shilkret V. Maxitive measures and integration. Indag. Math. 33 (1971) 109-116
    • (1971) Indag. Math. , vol.33 , pp. 109-116
    • Shilkret, V.1
  • 24
    • 0001106394 scopus 로고
    • Integral with respect to premeasure
    • Šipoš J. Integral with respect to premeasure. Math. Slovaca 29 (1979) 141-145
    • (1979) Math. Slovaca , vol.29 , pp. 141-145
    • Šipoš, J.1
  • 25
    • 38149126451 scopus 로고    scopus 로고
    • P. Struk, Extremal fuzzy integrals, Soft Computing, in press.
  • 26
    • 38149033710 scopus 로고
    • Two families of fuzzy integrals
    • Suarez F., and Gil P. Two families of fuzzy integrals. Fuzzy Set Syst. 18 (1986) 67-81
    • (1986) Fuzzy Set Syst. , vol.18 , pp. 67-81
    • Suarez, F.1    Gil, P.2
  • 27
    • 38149070978 scopus 로고    scopus 로고
    • M. Sugeno, Theory of fuzzy integrals and applications, Ph.D. doctoral dissertation, Tokyo Inst. Tech (1974).
  • 28
    • 0023288667 scopus 로고
    • Pseudo-additive measures and integrals
    • Sugeno M., and Murofushi T. Pseudo-additive measures and integrals. J. Math. Anal. Appl. 122 (1987) 197-222
    • (1987) J. Math. Anal. Appl. , vol.122 , pp. 197-222
    • Sugeno, M.1    Murofushi, T.2
  • 29
    • 0003069505 scopus 로고
    • Une contribution a la théorie de la mesure
    • Tarski A. Une contribution a la théorie de la mesure. Fund. Math. 15 (1930) 42-50
    • (1930) Fund. Math. , vol.15 , pp. 42-50
    • Tarski, A.1
  • 31
    • 0012657561 scopus 로고
    • Two integrals and some modified versions: critical remarks
    • Weber S. Two integrals and some modified versions: critical remarks. Fuzzy Sets Syst. 20 (1986) 97-105
    • (1986) Fuzzy Sets Syst. , vol.20 , pp. 97-105
    • Weber, S.1
  • 32
    • 84975316199 scopus 로고
    • On a general class of fuzzy connectives
    • Yager R.R. On a general class of fuzzy connectives. Fuzzy Set Syst. 4 (1980) 235-242
    • (1980) Fuzzy Set Syst. , vol.4 , pp. 235-242
    • Yager, R.R.1
  • 34
    • 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 Set Syst. 1 (1978) 3-28
    • (1978) Fuzzy Set Syst. , vol.1 , pp. 3-28
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.