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On fuzzy α-I-continuous and fuzzy α-I-open functions

Author

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  • Yuksel, S.
  • Gursel Caylak, E.
  • Acikgoz, A.

Abstract

Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum particle physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of fuzzy α-I-continuity and fuzzy α-I-openness in fuzzy ideal topological spaces, and obtain several characterizations and some properties of these functions. Also, we investigate their relationship with other types of functions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1691-1696
    DOI: 10.1016/j.chaos.2008.07.015
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    References listed on IDEAS

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    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.
    4. 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.
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    Cited by:

    1. 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.

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