Abstract
Abstract In this paper, we study the extension theory to L -fuzzy closure spaces, where L is a strictly two-sided, commutative quantale lattice. We give new notions such as L -fuzzy stack, L -fuzzy c-grill and trace of a point. Also, we construct order relation and equivalence relation between two extensions. Also, We introduce the concept of a principal extension of L -fuzzy closure space and study some of its applications.
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