• Title/Summary/Keyword: irresolute

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FUZZY PAIRWISE STRONG PRE-IRRESOLUTE CONTINUOUS MAPPINGS

  • Lee, Hyo-Sam;Lee, Joo-Sung;Im, Young-Bin
    • Journal of applied mathematics & informatics
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    • v.28 no.5_6
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    • pp.1561-1571
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    • 2010
  • We define and characterize a fuzzy pairwise strong pre-irresolute continuous mapping and a fuzzy pairwise strong pre-irresolute open mapping on a fuzzy bitopological space.

A NOTE ON WEAKLY IRRESOLUTE MAPPINGS

  • Chae, Gyu-Ihn;Dube, K.K.;Panwar, O.S.
    • East Asian mathematical journal
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    • v.1
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    • pp.89-100
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    • 1985
  • A mapping f: X$\rightarrow$Y is introduced to be weakly irresolute if, for each x $\varepsilon$ X and each semi-neighborhood V of f(x), there exists a semi-neighborhood U of x in X such that $f(U){\subset}scl(V)$. It will be shown that a mapping f: X$\rightarrow$Y is weakly irresolute iff(if and only if) $f^{-1}(V){\subset}sint(f^{_1}(scl(V)))$ for each semiopen subset V of Y. The relationship between mappings described in [3,5, 6,8] and a weakly irresolute mapping. will be investigated and it will be shown that every irresolute retract of a $T_2$-space is semiclosed.

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ON UPPER AND LOWER SEMI-IRRESOLUTE FUZZY MULTIFUNCTIONS

  • Seenivasan, V.;Balasubramanian, G.
    • East Asian mathematical journal
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    • v.23 no.1
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    • pp.9-22
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    • 2007
  • New classes of multifunctions called fuzzy upper and fuzzy lower semi-irresolute (semi-continuous) multifunctions in fuzzy topological spaces are introduced in this paper. We also obtain some characterizations of this class and some basic interesting properties of such fuzzy multifunctions. We discuss mutual relationship and also relationship with other existing such multifunctions.

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On fuzzy pairwise irresolute mappings

  • Im, Young-Bin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.9 no.5
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    • pp.513-516
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    • 1999
  • In this paper we further investigate some proterties of fuzzy pairwise irresolute mappings of fuzzy bitopological spaces.

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FUZZY LESS STRONGLY IRRESOLUTE MAPPINGS AND FUZZY LESS STRONGLY SEMI-CONNECTED SETS

  • Park, Jin-Han;Park, Yong-Beom
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1996.10a
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    • pp.95-100
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    • 1996
  • In this paper, we first introduce fuzzy less strongly irresolute, fuzzy preless strongly semiopen and fuzzy pre-less strongly semiclosed mappings on fuzzy topological space, and establish their various characteristic properties. Finally, we introduce and study fuzzy less strongly semi-connectedness with the help of fuzzy less strongly semiopen sets and fuzzy less strongly semi-q-neighborhoods.

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