IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i5p3064-3077.html
   My bibliography  Save this article

Decomposition of fuzzy continuity and fuzzy ideal continuity via fuzzy idealization

Author

Listed:
  • Zahran, A.M.
  • Abbas, S.E.
  • Abd El-baki, S.A.
  • Saber, Y.M.

Abstract

Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy α-I-open and r-fuzzy β-I-open sets, which is properly placed between r-fuzzy openness and r-fuzzy α-I-openness (r-fuzzy pre-I-openness) sets regardless the fuzzy ideal topological space in Ŝostak sense. Moreover, we give a decomposition of fuzzy continuity, fuzzy ideal continuity and fuzzy ideal α-continuity, and obtain several characterization and some properties of these functions. Also, we investigate their relationship with other types of function.

Suggested Citation

  • Zahran, A.M. & Abbas, S.E. & Abd El-baki, S.A. & Saber, Y.M., 2009. "Decomposition of fuzzy continuity and fuzzy ideal continuity via fuzzy idealization," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3064-3077.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:3064-3077
    DOI: 10.1016/j.chaos.2009.04.010
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909003919
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2009.04.010?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Hatir, Eşref & Jafari, Saeid, 2007. "Fuzzy semi-I-open sets and fuzzy semi-I-continuity via fuzzy idealization," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1220-1224.
    2. El Naschie, M.S., 2006. "Topics in the mathematical physics of E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 656-663.
    3. El Naschie, M. Saladin, 2006. "Advanced prerequisite for E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 636-641.
    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. Yuksel, S. & Gursel Caylak, E. & Acikgoz, A., 2009. "On fuzzy α-I-continuous and fuzzy α-I-open functions," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1691-1696.
    2. He, Ji-Huan & Wan, Yu-Qin & Xu, Lan, 2007. "Nano-effects, quantum-like properties in electrospun nanofibers," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 26-37.
    3. Nasef, Arafa A. & Hatir, E., 2009. "On fuzzy pre-I-open sets and a decomposition of fuzzy I-continuity," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1185-1189.
    4. Keskin, Aynur, 2009. "On Fuzzy β-I-open sets and Fuzzy β-I-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1372-1377.
    5. El Naschie, M.S., 2008. "Exact non-perturbative derivation of gravity’s G¯4 fine structure constant, the mass of the Higgs and elementary black holes," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 346-359.
    6. El Naschie, M.S., 2008. "Fuzzy knot theory interpretation of Yang–Mills instantons and Witten’s 5-Brane model," Chaos, Solitons & Fractals, Elsevier, vol. 38(5), pages 1349-1354.
    7. Liang, Y.S. & Su, W.Y., 2007. "The relationship between the fractal dimensions of a type of fractal functions and the order of their fractional calculus," Chaos, Solitons & Fractals, Elsevier, vol. 34(3), pages 682-692.
    8. Falcón, Sergio & Plaza, Ángel, 2009. "On k-Fibonacci sequences and polynomials and their derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1005-1019.
    9. El Naschie, M.S., 2006. "Fuzzy Dodecahedron topology and E-infinity spacetime as a model for quantum physics," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1025-1033.
    10. Ekici, Erdal, 2008. "On (LC,s)-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 430-438.
    11. Ekici, Erdal, 2009. "A note on almost β-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 1010-1013.
    12. Elmali, Ceren Sultan & Uğur, Tamer, 2009. "Fan-Gottesman compactification of some specific spaces is Wallman-type compactification," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 17-19.
    13. Falcón, Sergio & Plaza, Ángel, 2007. "The k-Fibonacci sequence and the Pascal 2-triangle," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 38-49.
    14. Saniga, Metod & Planat, Michel & Kibler, Maurice R. & Pracna, Petr, 2007. "A classification of the projective lines over small rings," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1095-1102.
    15. El Naschie, M.S., 2007. "The elementary particles content of quantum spacetime via Feynman graphs and higher dimensional polytops," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 1-4.
    16. Pintr, P. & Peřinová, V. & Lukš, A., 2008. "Allowed planetary orbits in the solar system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1273-1282.
    17. Yao, K. & Liang, Y.S. & Zhang, F., 2009. "On the connection between the order of the fractional derivative and the Hausdorff dimension of a fractal function," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2538-2545.
    18. Iovane, G. & Bellucci, S. & Benedetto, E., 2008. "Projected space–time and varying speed of light," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 49-59.
    19. Keskin, Aynur & Noiri, Takashi, 2009. "Almost contra-g-continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 238-246.
    20. Açikgöz, Ahu & Yüksel, Şaziye, 2009. "Decompositions of new classes of functions," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 408-413.

    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:42:y:2009:i:5:p:3064-3077. 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.