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Decomposition of fuzzy continuity and fuzzy ideal continuity via fuzzy idealization

Author

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  • 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
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    References listed on IDEAS

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    1. El Naschie, M.S., 2006. "Topics in the mathematical physics of E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 656-663.
    2. El Naschie, M. Saladin, 2006. "Advanced prerequisite for E-infinity theory," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 636-641.
    3. 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.
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