Journal of the Egyptian Mathematical Society (Oct 2013)

Extensions of L-fuzzy closure spaces

  • A.H. Zakari,
  • S.E. Abbas,
  • M.A. Al-Homieyed

DOI
https://doi.org/10.1016/j.joems.2013.02.013
Journal volume & issue
Vol. 21, no. 3
pp. 300 – 304

Abstract

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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.

Keywords