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
Fundamental study: Complete and directed complete Ω-categories
Theoretical Computer Science
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
Stratified L-ordered convergence structures
Fuzzy Sets and Systems
Net-theoretical convergence in (L,M)-fuzzy cotopological spaces
Fuzzy Sets and Systems
On (L,M)-fuzzy convergence spaces
Fuzzy Sets and Systems
Hi-index | 0.20 |
By making use of the intrinsic fuzzy inclusion orders on the fuzzy power set, the relationships between L-ordered convergence spaces and strong L-topological spaces are researched, where L is a commutative unital quantale. It is shown that the category of strong L-topological spaces can be embedded in the category of L-ordered convergence spaces as a reflective subcategory. As a result, we observe that there is a Galois correspondence between the category of L-ordered convergence spaces and the category of strong L-topological spaces. Further, it is proved that the class of all strong L-topological L-ordered convergence spaces precisely is the class of all strong L-topological spaces, and the class of spaces with non-idempotent L-ordered interior operators is characterized as a subclass of the class of L-ordered convergence spaces.