• Title/Summary/Keyword: Fuzzy bitopological spaces

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Pairwise semicontinuous mapping in smooth bitopological spaces

  • Lee, Eun-Pyo
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.3
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    • pp.269-274
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    • 2002
  • We introduce (${\tau}_i$, ${\tau}_j$) fuzzy (r,s)-semiclosures and (${\tau}_i$, ${\tau}_j$)-fuzzy (r,s)-semiinteriors. Using the notions, we investigate some of characteristic properties of fuzzy pairwise (r,s)-semicontinuous, fuzzy pairwise (r,s)-semiopen and fuzzy pairwise (r,s)-semiclosed mappings.

ON FUZZY BITOPOLOGICAL SPACES IN ŠOSTAK'S SENSE (II)

  • Ramadan, Ahmed Abd El-Kader;Abbas, Salah El-Deen;El-Latif, Ahmed Aref Abd
    • Communications of the Korean Mathematical Society
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    • v.25 no.3
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    • pp.457-475
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    • 2010
  • In this paper, we have use a fuzzy bitopological space (X, $\tau_1$, $\tau_2$) to create a family $\tau_{ij}^s$ which is a supra fuzzy topology on X. Also, we introduce and study the concepts of r-($\tau_i$, $\tau_j$)-generalized fuzzy regular closed, r-($\tau_i$, $\tau_j$)-generalized fuzzy strongly semi-closed and r-($\tau_i$, $\tau_j$)-generalized fuzzy regular strongly semi-closed sets in fuzzy bitopological space in the sense of $\check{S}$ostak. Also, these classes of fuzzy subsets are applied for constructing several type of fuzzy closed mapping and some type of fuzzy separation axioms called fuzzy binormal, fuzzy mildly binormal and fuzzy almost pairwise normal.

PAIRWISE FUZZY S-CLOSED BITOPOLOGICAL SPACES

  • Park, Jin-Han;Lee, Bu-Young;Son, Mi-Jung
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.77-80
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    • 1996
  • In this paper, we generalize the concept of fuzzy S-closed spaces due to Mukherjee and Ghosh [8] into fuzzy bitopological setting and investigate some of its properties using the concepts of (${\tau}_i$, ${\tau}_j$)-semi-closure and related notions in fuzzy setting.

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[ $G_{\delta}$ ]-CONNECTEDNESS AND $G_{\delta}$-DISCONNECTEDNESS IN FUZZY BITOPOLOGICAL SPACES

  • Roja, E.;Uma, M.K.;Balasubramanian, G.
    • East Asian mathematical journal
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    • v.23 no.2
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    • pp.159-174
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    • 2007
  • In this paper, the concepts of pairwise fuzzy $G_{\delta}$-connected spaces and pairwise fuzzy $G_{\delta}$-extremally disconnected spaces are introduced. The concept of pairwise fuzzy $G_{\delta}$-basically disconnected spaces is defined. Characterizations of the above spaces are given besides giving several examples. Interrelations among the spaces introduced are discussed and some relevant counter examples are given.

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QUASI-FUZZY EXTREMALLY DISCONNECTED SPACES

  • Lee, Bu-Young;Son, Mi-Jung;Park, Yong-Beom
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.10a
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    • pp.77-82
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    • 1998
  • In this paper, we introduce the concept of quasi-fuzzy extremally disconnectedness in fuzzy bitopological space, which is a generalization of fuzzy extremally disconnectedness due to Ghosh [5] in fuzzy topological space and invetstigate some of its properties using the concepts of quasi-semi-closure, quasi-$\theta$-closure and related notions in a fuzzy bitopological settings.

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Fuzzy Pairwise $-continuous Mapping

  • 박거덕;임영빈
    • Journal of the Korean Institute of Intelligent Systems
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    • v.6 no.2
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    • pp.106-110
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    • 1996
  • In this paper, we define a (${\tau}_i, {\tauj}$)-fuzzy $\beta-open$ set and a fuzzy pairwise fuzzy $-continuous mapping on fuzzy bitopological spaces ans study some of their properites.

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