• Title/Summary/Keyword: Continuous

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MAPPING THEOREMS ON $X_1$${\circled{+}}$X_2$

  • Kim, Jae-Woon
    • The Pure and Applied Mathematics
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    • v.4 no.2
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    • pp.115-119
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    • 1997
  • We show that if $f_{i}$:$X_{i}$ longrightarrow Y is strongly continuous(resp. weakly continuous, set connected, compact, feebly continuous, almost-continuous, strongly $\theta$-continuous, $\theta$-continuous, g-continuous, V-map), then F : $X_1 \bigoplus X_2$longrightarrow Y is strongly continuous(resp.weakly continuous, set connected, compact, feebly continuous, almost-continuous, strongly $\theta$-continuous, $\theta$-continuous, g-continuous, V-map).

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ON SOME TYPES OF CONTINUOUS FUZZY MULTIFUNCTIONS

  • Ekici, Erdal
    • Bulletin of the Korean Mathematical Society
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    • v.41 no.4
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    • pp.647-656
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    • 2004
  • In this paper, by using operations, some characterizations and some properties of fuzzy lower and upper continuous multifunctions and its weaker and stronger forms including fuzzy lower and upper weakly continuous, fuzzy lower and upper ${\theta}-continuous$, fuzzy lower and upper strongly ${\theta}-continuous$, fuzzy lower and upper almost strongly ${\theta}-continuous$, fuzzy lower and upper weakly ${\theta}-continuous$, fuzzy lower and upper almost continuous, fuzzy lower and upper super continuous, fuzzy lower and upper ${\delta}-continuous$, are presented.

Intuitionistic Fuzzy δ-continuous Functions

  • Eom, Yeon Seok;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.13 no.4
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    • pp.336-344
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    • 2013
  • In this paper, we characterize the intuitionistic fuzzy ${\delta}$-continuous, intuitionistic fuzzy weakly ${\delta}$-continuous, intuitionistic fuzzy almost continuous, and intuitionistic fuzzy almost strongly ${\theta}$-continuous functions in terms of intuitionistic fuzzy ${\delta}$-closure and interior or ${\theta}$-closure and interior.

ON FUZZY S-CONTINUOUS FUNCTIONS

  • Min, Won Keun
    • Korean Journal of Mathematics
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    • v.4 no.1
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    • pp.77-82
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    • 1996
  • We introduce the concepts of fuzzy $s$-continuous functions. And we investigate several properties of the fuzzy $s$-continuous function. In particular, we study the relation between fuzzy continuous functions and fuzzy $s$-continuous functions.

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ON FUZZY FAINTLY PRE-CONTINUOUS FUNCTIONS

  • Chetty, G. Palani;Balasubramanian, G.
    • East Asian mathematical journal
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    • v.24 no.4
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    • pp.329-338
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    • 2008
  • The aim of this paper is to introduce a new generalization of fuzzy faintly continuous functions called fuzzy faintly pre-continuous functions and also we have introduced and studied weakly fuzzy pre-continuous functions. Several characterizations of fuzzy faintly pre-continuous functions are given and some interesting properties of the above functions are discussed.

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ON THE SEMI CONTINUOUS FUNCTIONS WITH THE OPEN PROPERTY

  • Kim, Seungwook
    • Korean Journal of Mathematics
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    • v.13 no.2
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    • pp.241-248
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    • 2005
  • Some of the generalized continuous functions and their basic properties are introduced in concern with the cover theory. The open property of a function is a crucial tool for the survey of this area.

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CONTINUOUS ORBIT EQUIVALENCES ON SELF-SIMILAR GROUPS

  • Yi, Inhyeop
    • Bulletin of the Korean Mathematical Society
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    • v.58 no.1
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    • pp.133-146
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    • 2021
  • For pseudo-free and recurrent self-similar groups, we show that continuous orbit equivalence of inverse semigroup partial actions implies continuous orbit equivalence of group actions. Conversely, if group actions are continuous orbit equivalent, and the induced homeomorphism commutes with the shift maps on their groupoids, we obtain continuous orbit equivalence of inverse semigroup partial actions.