Abstract
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. φ) with the base axioms (resp. subbase axioms) can induce a unique M -fuzzifying convex structure with B (resp. φ) 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.
| Original language | English |
|---|---|
| Pages (from-to) | 75-87 |
| Number of pages | 13 |
| Journal | Iranian Journal of Fuzzy Systems |
| Volume | 15 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Mar 2018 |
Keywords
- Base axiom
- CC mapping
- CP mapping
- M-fuzzifying convex structure
- Subbase axiom
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Xiu, Z. Y., & Pang, B. (2018). Base axioms and Subbase axioms in M-fuzzifying convex spaces. Iranian Journal of Fuzzy Systems, 15(2), 75-87. https://doi.org/10.22111/ijfs.2018.3760