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On Fuzzy β-I-open sets and Fuzzy β-I-continuous functions

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  • Keskin, Aynur

Abstract

In this paper, first of all we obtain some properties and characterizations of fuzzy β-I-open sets. After that, we also define the notion of β-I-closed sets and obtain some properties. Lastly, we introduce the notions of fuzzy β-I-continuity with the help of fuzzy β-I-open sets to obtain decomposition of fuzzy continuity.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1372-1377
    DOI: 10.1016/j.chaos.2009.03.018
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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. 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.
    3. 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.
    4. 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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