Fuzzy betweenness spaces on continuous lattices

Document Type : Research Paper

Authors

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

Abstract

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 spaces
and fuzzy betweenness spaces is discussed by using a special antitone Galois connection.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 19, Issue 3
May and June 2022
Pages 39-52

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