IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v34y2007i2p551-556.html

Fuzzy linguistic model for interpolation

Author

Listed:
  • Abbasbandy, S.
  • Adabitabar Firozja, M.

Abstract

In this paper, a fuzzy method for interpolating of smooth curves was represented. We present a novel approach to interpolate real data by applying the universal approximation method. In proposed method, fuzzy linguistic model (FLM) applied as universal approximation for any nonlinear continuous function. Finally, we give some numerical examples and compare the proposed method with spline method.

Suggested Citation

  • Abbasbandy, S. & Adabitabar Firozja, M., 2007. "Fuzzy linguistic model for interpolation," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 551-556.
    • Handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:551-556
    DOI: 10.1016/j.chaos.2006.03.102
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906002736
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.03.102?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Abbasbandy, S. & Nieto, Juan J. & Alavi, M., 2005. "Tuning of reachable set in one dimensional fuzzy differential inclusions," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1337-1341.
    2. Jiang, Wang & Guo-Dong, Qiao & Bin, Deng, 2005. "H∞ Variable universe adaptive fuzzy control for chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1075-1086.
    3. Tanaka, Yosuke & Mizuno, Yuzi & Kado, Tatsuhiko, 2005. "Chaotic dynamics in the Friedmann equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 407-422.
    4. Caldas, M. & Jafari, S., 2005. "θ-Compact fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 229-232.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Abbasbandy, S. & Otadi, M. & Mosleh, M., 2008. "Minimal solution of general dual fuzzy linear systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1113-1124.
    2. Abbasbandy, S. & Babolian, E. & Alavi, M., 2007. "Numerical method for solving linear Fredholm fuzzy integral equations of the second kind," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 138-146.
    3. Abbasbandy, S. & Nieto, Juan J. & Alavi, M., 2005. "Tuning of reachable set in one dimensional fuzzy differential inclusions," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1337-1341.
    4. Nieto, Juan J. & Rodríguez-López, Rosana, 2006. "Bounded solutions for fuzzy differential and integral equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1376-1386.
    5. Khastan, A. & Ivaz, K., 2009. "Numerical solution of fuzzy differential equations by Nyström method," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 859-868.
    6. Alan Jalal Abdulqader, 2018. "Numerical Solution for Solving System of Fuzzy Nonlinear Integral Equation by Using Modified Decomposition Method," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(1), pages 32-43, February.
    7. Sedghi, Shaban & Shobe, Nabi & Žikić-Došenović, Tatjana, 2009. "A common fixed point theorem in two complete fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2590-2596.
    8. Thanh-Lam Nguyen, 2017. "Methods in Ranking Fuzzy Numbers: A Unified Index and Comparative Reviews," Complexity, Hindawi, vol. 2017, pages 1-13, July.
    9. Ekici, Erdal, 2006. "More on θ-compact fuzzy topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 27(5), pages 1157-1161.
    10. Alimohammady, M. & Roohi, M., 2006. "Compactness in fuzzy minimal spaces," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 906-912.
    11. Ismat Beg & Shaban Sedghi & Nabi Shobe, 2013. "Fixed Point Theorems in Fuzzy Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-4, January.
    12. Saadati, Reza, 2008. "Notes to the paper “Fixed points in intuitionistic fuzzy metric spaces” and its generalization to L-fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 35(1), pages 176-180.
    13. Yurilev Chalco-Cano & Valeriano A. Oliveira & Geraldo N. Silva, 2015. "Description of the Attainable Sets of One-Dimensional Differential Inclusions," Journal of Optimization Theory and Applications, Springer, vol. 164(1), pages 138-153, January.
    14. Cho, Yeol Je & Sedghi, Shaban & Shobe, Nabi, 2009. "Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2233-2244.
    15. Tanaka, Yosuke & Mizuno, Yuji & Kado, Tatsuhiko & Zhao, Hua-An, 2007. "Nonlinear dynamics in the relativistic field equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1054-1075.
    16. Tanaka, Yosuke & Mizuno, Yuji & Ohta, Shigetoshi & Mori, Keisuke & Horiuchi, Tanji, 2009. "Nonlinear dynamics in the Einstein–Friedmann equation," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 533-549.
    17. Tanaka, Yosuke & Shudo, Takefumi & Yosinaga, Tetsutaro & Kimura, Hiroshi, 2008. "Relativistic field equations and nonlinear dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 941-949.
    18. Tanaka, Yosuke & Nakano, Shingo & Ohta, Shigetoshi & Mori, Keisuke & Horiuchi, Tanji, 2009. "Einstein–Friedmann equation, nonlinear dynamics and chaotic behaviours," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2159-2173.
    19. Mahmood Otadi & Maryam Mosleh, 2012. "Solution of Fuzzy Matrix Equation System," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-8, September.
    20. Hanafy, I.M., 2009. "θ-Compactness in L-topological spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3006-3012.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:34:y:2007:i:2:p:551-556. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.