Fuzzy Sets and Systems
Abstract and concrete categories
Abstract and concrete categories
A new approach for fuzzy topology (I)
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Characterizations of fuzzifying topologies by some limit structures
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
Lattice-valued convergence spaces and regularity
Fuzzy Sets and Systems
Categories isomorphic to L-FTOP
Fuzzy Sets and Systems
Subcategories of lattice-valued convergence spaces
Fuzzy Sets and Systems
Convergence in I-fuzzy topological spaces
Fuzzy Sets and Systems
Stratified L-ordered convergence structures
Fuzzy Sets and Systems
Relationships between L-ordered convergence structures and strong L-topologies
Fuzzy Sets and Systems
Moore--Smith convergence in (L,M)-fuzzy topology
Fuzzy Sets and Systems
On stratified L-convergence spaces: Pretopological axioms and diagonal axioms
Fuzzy Sets and Systems
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This paper presents a definition of (L,M)-fuzzy convergence spaces. It is shown that the category (L,M)-FC of (L,M)-fuzzy convergence spaces, which embeds the category (L,M)-FTop of (L,M)-fuzzy topological spaces as a reflective subcategory, is a Cartesian closed topological category. Further, it is proved that the category of (topological) pretopological (L,M)-fuzzy convergence spaces is isomorphic to the category of (topological) (L,M)-fuzzy quasi-coincident neighborhood spaces. Moreover, the relations among (L,M)-fuzzy convergence spaces, pretopological (L,M)-fuzzy convergence spaces and topological (L,M)-fuzzy convergence spaces are investigated in the categorical sense.