A DEGREE APPROACH TO SPECIAL MAPPINGS BETWEEN (L,M)-FUZZY CONVEX SPACES

摘要

In this paper, the (L, M)-CP degree and the (L, M)-CC degree of mappings between M-fuzzy convex spaces are defined and investigated. It is shown that the (L, M)-CP degree can be characterized by hull operators, bases and subbases of (L, M)-fuzzy convex spaces and the (L, M)-CC degree can be characterized by bases of (L, M)-fuzzy convex spaces. Moreover, it is proved there are compatible relations between the (L, M)- CP degree and the (L, M)-CC degree by using some equalities and inequalities.