BASE AXIOMS AND SUBBASE AXIOMS IN M-FUZZIFYING CONVEX SPACES
نویسندگان
1 College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, P.R.China
2 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R.China
doi
10.22111/ijfs.2018.3760چکیده
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.
