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 a-continuous mappings were introduced in 1988 and 1997. The authors extend some of these forms to the L-fuzzy bitopological setting and construct various a-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 axe obtained, especially, for L-valued pairwise stratification spaces.