Abstract and concrete categories
Abstract and concrete categories
The categorical topology approach to fuzzy topology and fuzzy convergence
Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Even continuity and equicontinuity in fuzzy topology
Fuzzy Sets and Systems
Characterizations of fuzzifying topologies by some limit structures
Fuzzy Sets and Systems
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
Limit structures over completely distributive lattices
Fuzzy Sets and Systems - Possibility theory and fuzzy logic
An enriched category approach to many valued topology
Fuzzy Sets and Systems
Pretopological and topological lattice-valued convergence spaces
Fuzzy Sets and Systems
On many-valued stratified L-fuzzy convergence spaces
Fuzzy Sets and Systems
Continuity in quantitative domains
Fuzzy Sets and Systems
Subcategories of lattice-valued convergence spaces
Fuzzy Sets and Systems
Quantitative domains via fuzzy sets: Part I: Continuity of fuzzy directed complete posets
Fuzzy Sets and Systems
Relationships between L-ordered convergence structures and strong L-topologies
Fuzzy Sets and Systems
Lattice-valued convergence spaces: Extending the lattice context
Fuzzy Sets and Systems
Lattice-valued semiuniform convergence spaces
Fuzzy Sets and Systems
Gähler's neighborhood condition for lattice-valued convergence spaces
Fuzzy Sets and Systems
On stratified L-convergence spaces: Pretopological axioms and diagonal axioms
Fuzzy Sets and Systems
Net-theoretical convergence in (L,M)-fuzzy cotopological spaces
Fuzzy Sets and Systems
p-Topologicalness and p-regularity for lattice-valued convergence spaces
Fuzzy Sets and Systems
On (L,M)-fuzzy convergence spaces
Fuzzy Sets and Systems
Hi-index | 0.21 |
In this paper, a new kind of lattice-valued convergence structures on a universal set, called stratified L-ordered convergence structures, are presented by modifying the axiom for stratified L-generalized convergence structures in the fuzzy setting so as to make use of the intrinsic fuzzy inclusion order on the fuzzy power set. The category of stratified L-ordered convergence spaces described here is shown to be a reflective full subcategory in the category of stratified L-generalized convergence spaces, and hence it is topological and Cartesian-closed. As preparation, a further investigation of stratified L-filters is presented from the viewpoint that latticed-valued filters should be compatible with the intrinsic fuzzy inclusion order on the fuzzy power set.