• 제목/요약/키워드: fuzzy bitopological spaces

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퍼지 준-연속사상에 관하여 (ON FUZZY QUASI-CONTINUOUS MAPPINGS)

  • Park, Jin-Han;Park, Seong-Jun;Son, Mi-Jung
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2001년도 추계학술대회 학술발표 논문집
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    • pp.361-364
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    • 2001
  • The aim of this paper is to continue the study of fuzzy quasi-continuous mappings due to Park et at. (12) on fuzzy bitopological spaces.

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Pairwise semicontinuous mapping in smooth bitopological spaces

  • Lee, Eun-Pyo
    • 한국지능시스템학회논문지
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    • 제12권3호
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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
    • 대한수학회논문집
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    • 제25권3호
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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
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1996년도 추계학술대회 학술발표 논문집
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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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    • 제23권2호
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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
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
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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
    • 한국지능시스템학회논문지
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    • 제6권2호
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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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