Fuzzy betweenness spaces on continuous lattices

نویسندگان
Zhang, S. Y. ID 1
Shi, F. G. ID 2

1 Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China

2 Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China

doi
10.22111/ijfs.2022.6942
چکیده

The notion of betweenness spaces is very important in  convex structure theory. In this paper,  it is generalized to continuous lattices. Then  its some characterizations and properties are investigated.Finally  the categorical relationship between fuzzy generalized convex spacesand fuzzy betweenness spaces is discussed by using a special antitone Galois connection.

کلیدواژه‌ها
Fuzzy convex space, fuzzy betweenness space, generalized convex space, Galois connection, continuous lattice