A degree approach to special mappings between M-fuzzifying convex spaces

摘要

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.