BASE AXIOMS an‎d SUBBASE AXIOMS IN M-FUZZIFYING CONVEX SPACES

Based on a completely distributive lattice M, base axioms and subbase axioms are introduced in M-fuzzifying convex spaces. It is shown that a mapping B (resp. ') with the base axioms (resp. subbase axioms) can induce a unique M-fuzzifying convex structure with B (resp. ') as its base (resp. subbase). As applications, it is proved that bases and subbases can be used to characterize CP mappings and CC mappings between M-fuzzifying convex spaces.