Title of article :
Characterizations of L-order L-convex spaces
Author/Authors :
Su ، S. H. School of Mathematics, Physics and Statistics - Shanghai University of Engineering Science , Li ، Q. G. School of Mathematics - Hunan University , Liu ، F. Y. School of Mathematics, Physics and Statistics - Shanghai University of Engineering Science , Li ، Q. Fuzhou Teachers College - East China University of Technology
Abstract :
In this paper, the concepts of L-enclosed L-order space, L-order L-concave space, L-internal L-order space and L-order L-convex filter are introduced. The main results are: (1) the categories of L-order L-convex spaces, L-enclosed L-order spaces, L-order L-concave spaces and L-internal L-order spaces are isomorphic; (2) the category of L-order convergence spaces based on L-order L-convex filters is topological; (3) there is a Galois correspondence between the category of L-order convergence spaces and that of L-order L-convex spaces.
Keywords :
L , order L , convexity , L , enclosed L , order , L , order L , convex filter , L , order L , concavity , L , order convergence structure.
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
