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Volumn 114, Issue 2, 2000, Pages 329-338

Analyses of regular fuzzy neural networks for approximation capabilities

Author keywords

Extended function; Hausdorff metric; Trapezoidal F functions; Trapezoidal F numbers; Universal approximation

Indexed keywords


EID: 0008718625     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(98)00248-6     Document Type: Article
Times cited : (24)

References (16)
  • 1
    • 6044236804 scopus 로고
    • Sugeno type controllers are universal controllers
    • Buckley J.J. Sugeno type controllers are universal controllers. Fuzzy Sets and Systems. 53:1993;299-304.
    • (1993) Fuzzy Sets and Systems , vol.53 , pp. 299-304
    • Buckley, J.J.1
  • 2
    • 0001269716 scopus 로고
    • On the equivalence of neural nets and fuzzy expert systems
    • Buckley J.J., Hayashi Y., Czogala E. On the equivalence of neural nets and fuzzy expert systems. Fuzzy Sets and Systems. 53:1993;129-134.
    • (1993) Fuzzy Sets and Systems , vol.53 , pp. 129-134
    • Buckley, J.J.1    Hayashi, Y.2    Czogala, E.3
  • 3
    • 6044231958 scopus 로고
    • Fuzzy input-output controllers are universal approximators
    • Buckley J.J., Hayashi Y. Fuzzy input-output controllers are universal approximators. Fuzzy Sets and Systems. 58:1993;273-278.
    • (1993) Fuzzy Sets and Systems , vol.58 , pp. 273-278
    • Buckley, J.J.1    Hayashi, Y.2
  • 4
    • 0012076955 scopus 로고
    • Can fuzzy neural nets approximate continuous fuzzy functions?
    • J.J. Buckley, Y. Hayashi, Can fuzzy neural nets approximate continuous fuzzy functions? Fuzzy Sets and Systems 61 (1994) 43-51.
    • (1994) Fuzzy Sets and Systems , vol.61 , pp. 43-51
    • Buckley, J.J.1    Hayashi, Y.2
  • 6
    • 0027698748 scopus 로고
    • Approximation of continuous functionals by neural networks with applications to dynamic systems
    • Chen T., Chen H. Approximation of continuous functionals by neural networks with applications to dynamic systems. IEEE Trans. Neural Networks. 4(6):1993;910-918.
    • (1993) IEEE Trans. Neural Networks , vol.4 , Issue.6 , pp. 910-918
    • Chen, T.1    Chen, H.2
  • 7
    • 0024861871 scopus 로고
    • Approximation by superpositions of a sigmoidal function
    • Cybenko G. Approximation by superpositions of a sigmoidal function. Math. Control Signals System. 2(4):1989;303-314.
    • (1989) Math. Control Signals System , vol.2 , Issue.4 , pp. 303-314
    • Cybenko, G.1
  • 8
    • 38249022201 scopus 로고
    • Characterization of compact subsets of fuzzy sets
    • Diamond P., Kloeden P. Characterization of compact subsets of fuzzy sets. Fuzzy Sets and Systems. 29:1989;341-348.
    • (1989) Fuzzy Sets and Systems , vol.29 , pp. 341-348
    • Diamond, P.1    Kloeden, P.2
  • 9
    • 0025799121 scopus 로고
    • Representation of functions by superposition of a step or sigmoidal function and their applications to neural network theory
    • Ito Y. Representation of functions by superposition of a step or sigmoidal function and their applications to neural network theory. Neural Networks. 4:1991;385-394.
    • (1991) Neural Networks , vol.4 , pp. 385-394
    • Ito, Y.1
  • 10
    • 0040715107 scopus 로고    scopus 로고
    • The differential of fuzzy valued function and its applications to FNN
    • Liu P.Y. The differential of fuzzy valued function and its applications to FNN. Fuzzy Systems Math. 10(4):1996;35-43.
    • (1996) Fuzzy Systems Math. , vol.10 , Issue.4 , pp. 35-43
    • Liu, P.Y.1
  • 11
    • 0040121311 scopus 로고    scopus 로고
    • The universal approximation of regular fuzzy neural networks to a class of continuously fuzzy valued functions
    • Liu P.Y., Wang H.X. The universal approximation of regular fuzzy neural networks to a class of continuously fuzzy valued functions. Acta Electron. 25(11):1997;48-52.
    • (1997) Acta Electron. , vol.25 , Issue.11 , pp. 48-52
    • Liu, P.Y.1    Wang, H.X.2
  • 12
    • 49349119632 scopus 로고
    • A note on the extension principle for fuzzy sets
    • Nguyen H.T. A note on the extension principle for fuzzy sets. J. Math. Anal. Appl. 64:1978;369-382.
    • (1978) J. Math. Anal. Appl. , vol.64 , pp. 369-382
    • Nguyen, H.T.1
  • 14
    • 84968480766 scopus 로고
    • An embedding theorem for spaces of convex sets
    • Radström H. An embedding theorem for spaces of convex sets. Proc. Amer. Math. Soc. 3:1952;165-169.
    • (1952) Proc. Amer. Math. Soc. , vol.3 , pp. 165-169
    • Radström, H.1
  • 15
    • 0038937346 scopus 로고    scopus 로고
    • The space T of triangle fuzzy numbers is complete, separable, and locally compact
    • Wang G.J. The space T of triangle fuzzy numbers is complete, separable, and locally compact. J. Eng. Math. 13(3):1996;1-6.
    • (1996) J. Eng. Math. , vol.13 , Issue.3 , pp. 1-6
    • Wang, G.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.