On some kinds of fuzzy connected spaces

Qutaiba Ead Hassan

Applications of Mathematics (2007)

  • Volume: 52, Issue: 4, page 353-361
  • ISSN: 0862-7940

Abstract

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In this paper we introduce new results in fuzzy connected spaces. Among the results obtained we can mention the good extension of local connectedness. Also we prove that in a T 1 -fuzzy compact space the notions c-zero dimensional, strong c-zero dimensional and totally c i -disconnected are equivalent.

How to cite

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Hassan, Qutaiba Ead. "On some kinds of fuzzy connected spaces." Applications of Mathematics 52.4 (2007): 353-361. <http://eudml.org/doc/33294>.

@article{Hassan2007,
abstract = {In this paper we introduce new results in fuzzy connected spaces. Among the results obtained we can mention the good extension of local connectedness. Also we prove that in a $T_\{1\}$-fuzzy compact space the notions c-zero dimensional, strong c-zero dimensional and totally $\{\mathrm \{c\}\}_i$-disconnected are equivalent.},
author = {Hassan, Qutaiba Ead},
journal = {Applications of Mathematics},
keywords = {fuzzy connected space; fuzzy strong connected; fuzzy super connected; $c$-zero dimensional; strong $c$-zero dimensional; totally $c_i$-disconnected; fuzzy strongly connected; fuzzy super connected},
language = {eng},
number = {4},
pages = {353-361},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some kinds of fuzzy connected spaces},
url = {http://eudml.org/doc/33294},
volume = {52},
year = {2007},
}

TY - JOUR
AU - Hassan, Qutaiba Ead
TI - On some kinds of fuzzy connected spaces
JO - Applications of Mathematics
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 52
IS - 4
SP - 353
EP - 361
AB - In this paper we introduce new results in fuzzy connected spaces. Among the results obtained we can mention the good extension of local connectedness. Also we prove that in a $T_{1}$-fuzzy compact space the notions c-zero dimensional, strong c-zero dimensional and totally ${\mathrm {c}}_i$-disconnected are equivalent.
LA - eng
KW - fuzzy connected space; fuzzy strong connected; fuzzy super connected; $c$-zero dimensional; strong $c$-zero dimensional; totally $c_i$-disconnected; fuzzy strongly connected; fuzzy super connected
UR - http://eudml.org/doc/33294
ER -

References

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  11. 10.1016/S0019-9958(65)90241-X, Inf. Control 8 (1965), 338–353. (1965) Zbl0139.24606MR0219427DOI10.1016/S0019-9958(65)90241-X
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