The Single Axiomatization on CCRL-Fuzzy Rough Approximation Operators and Related Fuzzy Topology

It is well known that lattice-valued rough sets are important branches of fuzzy sets. The axiomatic characterization and related topology the main research directions For L=(L,⊛), a complete co-residuated lattice (CCRL), Qiao recently defined an L-fuzzy lower approximation operator (LFLAO) on basis relation. In this article, we give further study Qiao’s LFLAO around induced L-topology. Firstly, investigate discuss three new generated by ⊛-transitive, ⊛-Euclidean ⊛-mediated relations. Secondly, utilize single axiom to characterize serial, symmetric, reflexive, ⊛-transitive ⊛-mediate relations their compositions. Thirdly, present method generate Alexandrov L-topology (ALTPO) from construct bijection between ALTPO ⊛-preorder (i.e., reflexive relation) same underlying set.