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 \mathscr{B} (resp. \varphi) with the base axioms (resp. subbase axioms) can induce a unique M-fuzzifying convex structure with  \mathscr{B} (resp. \varphi) 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.

کلیدواژه ها:

M-fuzzifying convex structure ، Base axiom ، Subbase axiom ، CP mapping ، CC mapping