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| $\alpha$-FUZZY PAIRWISE RETRACT OF $L$-VALUED PAIRWISE STRATIFICATION SPACES |
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Citation： |
M. H. GHANIM,F. S. MAHMOUD,M. A. FATH ALLA,M. A. HEBESHI.$\alpha$-FUZZY PAIRWISE RETRACT OF $L$-VALUED PAIRWISE STRATIFICATION SPACES[J].Chinese Annals of Mathematics B,2004,25(4):533~544 |
| Page view： 1124
Net amount： 861 |
Authors： |
M. H. GHANIM; F. S. MAHMOUD;M. A. FATH ALLA;M. A. HEBESHI |
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| Abstract： |
The notion of a fuzzy retract was introduced by Rodabaugh (1981).
The notion of a fuzzy pairwise retract was introduced in 2001.
Some weak forms and some strong forms of $\alpha$-continuous
mappings were introduced in 1988 and 1997. The authors extend some
of these forms to the $L$-fuzzy bitopological setting and
construct various $\alpha$-fuzzy pairwise retracts. The concept of
weakly induced spaces in the case $L=[0,1]$ was introduced by
Martin (1980). Liu and Luo (1987) generalized this notion to the
case that $L$ is an arbitrary $F$-lattice and introduced the
notion of induced $L$-fts. Several results are obtained,
especially, for $L$-valued pairwise stratification spaces. |
Keywords： |
$L$-fuzzy pairwise continuous mappings, $\alpha$-Pairwise continuous
mappings, $\alpha$-Fuzzy pairwise retracts, $L$-valued pairwise
stratification spaces |
Classification： |
54A40, 54C08, 54C15, 54C20, 54E55 |
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