Almost periodic fuzzy-number-valued functions

Fuzzy Sets and Systems

Volumn 147, Issue 3, 2004, Pages 385-403

  Bede, Barnabás ^a   Gal, Sorin G ^a  

^a UNIVERSITY OF ORADEA   (Romania)

Author keywords

Almost periodic functions; Analysis; Approximation property; Fuzzy numbers; Fuzzy number valued functions; Generalized fuzzy polynomials; Normal functions

Indexed keywords

COSINE TRANSFORMS; FOURIER TRANSFORMS; NUMBER THEORY; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; POLYNOMIALS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

ALMOST PERIODIC FUNCTIONS; APPROXIMATION PROPERTY; FUZZY NUMBERS; FUZZY-NUMBER-VALUED FUNCTIONS; GENERALIZED FUZZY POLYNOMIALS; NORMAL FUNCTIONS;

FUZZY SETS;

EID: 4544258343     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2003.08.004     Document Type: Article

References (21)

1. Amerio L., Prouse G. Almost Periodic Functions and Functional Equations. 1971;Van Nostrand Reinhold, New York.
2. Anastassiou G.A., Gal S. On a fuzzy trigonometric approximation theorem of Weierstrass-type. J. Fuzzy Math. 9(3):2001;701-708.
3. Corduneanu C. Almost Periodic Functions. 1968;Interscience Publishers, Wiley, New York, London, Sydney, Toronto.
4. Deimling K., Hetzer G., Shen W. Almost periodicity enforced by Coulomb friction. Adv. Differential Equations. 1(2):1996;265-281.
5. Devore R.A., Lorentz G.G. Constructive Approximation, Polynomials and Splines Approximation. 1993;Springer, Berlin, Heidelberg.
6. Deysach L.G., Sell G.R. On the existence of almost periodic motions. Michigan Math. J. 12:1965;87-95.
7. Diamond P. Stability and periodicity in fuzzy differential equations. IEEE Trans. Fuzzy Systems. 8:2000;583-590.
8. P. Diamond, P. Kloeden, Metric topology of fuzzy numbers and fuzzy analysis, in: D. Dubois, H. Prade (Eds.), Handbook Fuzzy Sets, Ser., vol. 7, Kluwer Academic Publishers, Dordrecht, 2000, pp. 583-641.
9. D. Dubois, H. Prade, Fuzzy Numbers: An Overview, Analysis of Fuzzy Information, vol. 1, Mathematical Logic, CRC Press, Boca Raton, FL, 1987, pp. 3-39.
10. Fink A.M. Almost Periodic Differential Equations. 1974;Springer, Berlin, Heidelberg, New York.
11. S.G. Gal, Approximation theory in fuzzy setting, in: G.A. Anastassiou (Ed.), Handbook of Analytic-Computational Methods in Applied Mathematics, Chap. 13, Chapman & Hall/CRC, Boca Raton, London, New York, Washington DC., 2000, pp. 617-666.
12. Levitan B.M., Zhikov V.V. Almost Periodic Functions and Differential Equations. 1982;Cambridge University Press, Cambridge, London, New York.
13. Negoiţa C.V., Ralescu D.A. Applications of Fuzzy Sets to Systems Analysis. 1975;Birkhäuser Verlag, Basel.
14. Park J.Y., Jung I.H., Lee M.J. Almost periodic solutions of fuzzy systems. Fuzzy Sets and Systems. 119:2001;367-373.
15. Puri M., Ralescu D. Differentials of fuzzy functions. J. Math. Anal. Appl. 91:1983;552-558.
16. Tornehave H. On almost-periodic movements. Mat.-Fysiske Medd. 28(13):1954;1-42.
17. G. Wang, C. Wu, The integral over a directed line segment of fuzzy mapping from the fuzzy number space E into E and its applications, submitted for publication.
18. Wu C., Gong Z. On Henstock integral of fuzzy-number-valued functions, I. Fuzzy Sets and Systems. 120:2001;523-532.
19. Shen W. Travelling waves in time almost periodic structures governed by bistable nonlinearities. J. Differential Equations. 159:1999;1-54.
20. Yoshizawa T. Stability Theory and the Existence of Periodic and Almost Periodic Solutions. 1975;Springer, New York, Heidelberg, Berlin.
21. Zadeh L.A. Fuzzy sets. Inf. Control. 8:1965;338-353.