Abstract
Considering L being a continuous lattice and M being a completely distributive lattice, bases and subbases in (L, M)-fuzzy convex spaces are investigated. In an axiomatic approach, axiomatic bases and axiomatic subbases are proposed. It is shown that axiomatic bases and axiomatic subbases can be used to generate (L, M)-fuzzy convex structures and some of their applications are investigated.
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