α-FUZZY PAIRWISE RETRACT OF L-VALUED PAIRWISE STRATIFICATION SPACES

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 α-continuous mappings were introduced in 1988 and 1997. The authors extend some of these forms to the L-fuzzy bitopological setting and construct various α-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.

$\alpha$-FUZZY PAIRWISE RETRACT OF $L$-VALUED PAIRWISE STRATIFICATION SPACES

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.