Abstract and concrete categories
Abstract and concrete categories
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
An enriched category approach to many valued topology
Fuzzy Sets and Systems
Pretopological and topological lattice-valued convergence spaces
Fuzzy Sets and Systems
A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces
Fuzzy Sets and Systems
Continuity in quantitative domains
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
Completion of stratified (L,M)-filter tower spaces
Fuzzy Sets and Systems
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In this paper, two kinds of lattice-valued semiuniform convergence spaces are proposed, namely stratified L-semiuniform convergence spaces and stratified L-ordered semiuniform convergence spaces respectively. It is shown that (i) the category of stratified L-semiuniform convergence spaces is topological; (ii) the category of stratified L-ordered semiuniform convergence spaces is a bireflective full subcategory of the category of stratified L-semiuniform convergence spaces, and hence it is topological; (iii) both the category of stratified L-semiuniform convergence spaces and that of stratified L-ordered semiuniform convergence spaces are Cartesian-closed; (iv) the category of stratified L-semiuniform convergence spaces is extensional; (v) both the category of stratified L-semiuniform convergence spaces and that of stratified L-ordered semiuniform convergence spaces are closed under the formation of products of quotient mappings. In case that L is the two-point chain, both coincide with the category of semiuniform convergence spaces in the classical case.