Affiliations: [a]
College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, China
| [b]
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China
| [c]
Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, China
Correspondence:
[*]
Corresponding author. Bin Pang, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, P.R. China. E-mail: pangbin1205@163.com; Zhen-Yu Xiu, College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610000, P.R. China. E-mail: xyz198202@163.com.
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.
