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Fuzzy Sets and Systems

Volumn 127, Issue 3, 2002, Pages 299-313

Analysis of approximation of continuous fuzzy functions by multivariate fuzzy polynomials

(1) Liu, Puyin a,b

a BEIJING NORMAL UNIVERSITY (China)

b NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY (China)

Author keywords

Cut preserving fuzzy mapping; Fuzzy polynomial; Fuzzy valued Bernstein polynomial

Indexed keywords

APPROXIMATION THEORY; NEURAL NETWORKS; POLYNOMIALS; THEOREM PROVING;

FUZZY POLYNOMIALS;

FUZZY SETS;

EID: 0036568516 PISSN: 01650114 EISSN: None Source Type: Journal
DOI: 10.1016/S0165-0114(01)00079-3 Document Type: Article

Times cited : (21)

References (20)

1
- 0012076955
- Can fuzzy neural nets approximate continuous fuzzy functions
- (1994) Fuzzy Sets and Systems , vol.61 , Issue.1 , pp. 43-51
- Buckley, J.J.¹ Hayashi, Y.²

2
- 0008722083
- Can neural nets be universal approximators for fuzzy functions?
- (1999) Fuzzy Sets and Systems , vol.101 , Issue.3 , pp. 323-330
- Buckley, J.J.¹ Hayashi, Y.²

3
- 0003489601
- World Scientific Press, Singapore
- (1994) Metric spaces of fuzzy sets
- Diamond, P.¹ Kloeden, P.²

4
- 38249022201
- Characterization of compact subsets of fuzzy sets
- (1989) Fuzzy Sets and Systems , vol.29 , Issue.3 , pp. 341-348
- Diamond, P.¹ Kloeden, P.²

5
- 0008737058
- Degree of approximation of fuzzy mappings by fuzzy polynomials
- (1994) J. Fuzzy Math. , vol.2 , Issue.4 , pp. 843-853
- Gal, S.G.¹

6
- 0008722748
- Approximation selections for fuzzy-set-valued mapping and applications
- (1995) J. Fuzzy Math. , vol.3 , Issue.4 , pp. 941-947
- Gal, S.G.¹

7
- 0003351151
- Ordered cones and approximation
- Springer, Berlin
- (1992) Lecture Notes in Mathematics , vol.1517
- Keimel, T.¹ Roth, W.²

8
- 0003655414
- Addison-Wesley Publishing Company, Reading, MA
- (1983) Real analysis
- Lang, S.¹

9
- 0008718625
- Analyses of regular fuzzy neural networks for approximation capabilities
- (2000) Fuzzy Sets and Systems , vol.114 , Issue.3 , pp. 329-338
- Liu, P.Y.¹

10
- 0008692068
- Approximation of generalized fuzzy systems to integrable functions
- in Chinese
- (2000) Sci. China (Series E) , vol.30 , Issue.5 , pp. 413-423
- Liu, P.Y.¹ Li, H.X.²

11
- 0031294887
- Universal approximation of a class of continuous fuzzy valued functions by regular fuzzy neural networks
- (1997) Elect. Sinca. , vol.25 , Issue.11 , pp. 41-45
- Liu, P.Y.¹ Wang, H.X.²

12
- 0008722749
- Approximation capability of regular fuzzy neural networks to continuous fuzzy functions
- (1999) Sci. China (Series E) , vol.42 , Issue.2 , pp. 175-182
- Liu, P.Y.¹ Wang, H.²

13
- 0025228199
- A fuzzy Lagrange interpolation theorem
- (1994) Fuzzy Sets and Systems , vol.34 , Issue.1 , pp. 33-38
- Lowen, R.¹

14
- 49349119632
- A note on the extension principle for fuzzy sets
- (1976) J. Math. Anal. Appl. , vol.64 , Issue.2 , pp. 369-380
- Nguyen, H.T.¹

15
- 4243837153
- Scientific Tech. Press, Shangshai, in Chinese
- (1982) Mathematical Analysis
- Ouyang, G.Z.¹ Zhu, X.Y.² Qin, Z.F.³

16
- 0345195977
- Universal approximation using feedforward neural networks: A survey of some existing methods, and some new results
- (1998) Neural Networks , vol.11 , Issue.1 , pp. 15-37
- Scarselli, F.¹ Tsoi, A.C.²

17
- 0000323542
- Approximation of convex set-valued functions
- (1979) J. Approx. Theory , vol.26 , pp. 301-316
- Vitale, R.A.¹

18
- 0003472433
- PTR-Prentice-Hall, Englewood Cliffs, NJ
- (1994) Adaptive Fuzzy Systems and Control: Design and Stability Analysis
- Wang, L.X.¹

19
- 0032121932
- Sufficient conditions on uniform approximation of multivariate functions by general Takagi-Sugeno fuzzy systems with linear rule consequent
- (1998) IEEE Trans. Systems, Man, Cybern. , vol.28 , pp. 515-520
- Ying, H.¹

20
- 0030082428
- Approximation accuracy analysis of fuzzy systems as function approximators
- (1996) IEEE Trans. Fuzzy Systems , vol.4 , pp. 44-63
- Zeng, X.J.¹ Singh, M.G.²

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