Title of article :
Fuzzy betweenness spaces on continuous lattices
Author/Authors :
Zhang ، S. Y. Beijing Key Laboratory on MCAACI - School of Mathematics and Statistics - Beijing Institute of Technology , Shi ، F. G. Beijing Key Laboratory on MCAACI - School of Mathematics and Statistics - Beijing Institute of Technology
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 spacesand fuzzy betweenness spaces is discussed by using a special antitone Galois connection.
Keywords :
Fuzzy convex space , fuzzy betweenness space , generalized convex space , Galois connection , continuous lattice
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
