Journal
FUZZY SETS AND SYSTEMS
Volume 140, Issue 3, Pages 433-446Publisher
ELSEVIER
DOI: 10.1016/S0165-0114(03)00129-5
Keywords
topological spaces; filtered sets; L-filtered sets; L-fuzzy topological spaces; change of basis L; adjoint maps; extensional maps
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For a complete quasi-monoidal lattice L, with some additional properties, we consider the category of L-filtered sets with fixed basis L, and we find out a functorial relation from this category to that of the L-fuzzy topological spaces. On the other hand, a morphism in the category of complete quasi-monoidal lattices allows us to establish a pair of adjoint functors (change of basis) between the corresponding categories of L-filterd sets. (C) 2003 Elsevier B.V. All rights reserved.
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