Abstract
Based on a frame M, each mapping between M-fuzzifying convex spaces is equipped with some degree to be a CP mapping, a CC mapping, an isomorphic mapping and a quotient mapping. In this sense, the M-CP degree, the M-CC degree, the M-isomorphic degree and the M-quotient degree of mappings between M-fuzzifying convex spaces are obtained and investigated. It is shown that the M-CP degree and the M-CC degree can be characterized by hull operators of M-fuzzifying convex spaces. Moreover, it is proved that there are compatible relations among the M-CP degree, the M-CC degree, the M-isomorphic degree and the M-quotient degree by using some equalities and inequalities.
| Original language | English |
|---|---|
| Pages (from-to) | 705-716 |
| Number of pages | 12 |
| Journal | Journal of Intelligent and Fuzzy Systems |
| Volume | 35 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2018 |
Keywords
- CC mapping
- CP mapping
- M -fuzzifying convex structure
- hull operator
- quotient mapping
Cite this
Xiu, Z. Y., & Pang, B. (2018). A degree approach to special mappings between M -fuzzifying convex spaces. Journal of Intelligent and Fuzzy Systems, 35(1), 705-716. https://doi.org/10.3233/JIFS-171046