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On fuzzy pre-I-open sets and a decomposition of fuzzy I-continuity

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  • Nasef, Arafa A.
  • Hatir, E.

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 introduce and study the notion of fuzzy pre-I-open sets, which is properly placed between fuzzy openness and fuzzy pre-openness regardless the fuzzy topological ideal. Moreover, we give a decomposition of fuzzy I-continuity by proving that a function f:(X,τ,I)→(Y,σ) is fuzzy I-continuous if and only if it is fuzzy pre-I-continuous and fuzzy ∗-I-continuous.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1185-1189
    DOI: 10.1016/j.chaos.2007.08.073
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Elementary prerequisites for E-infinity," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 579-605.
    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.
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    Cited by:

    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. 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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