T-convergence structures serve as an important tool to describe fuzzy topology and deserve more attention. This paper aims give further investigations onT-convergence structures. Firstly, several types of $\top$-convergence are introduced, including Kent structures, T-limit principal their mutual categorical relationships well own properties studied. Secondly, by changing the underlying lattice...

$Rsb{0}$-algebras, which were proved to be equivalent to Esteva and Godo's NM-algebras modelled by Fodor's nilpotent minimum t-norm, are the equivalent algebraic semantics of the left-continuous t-norm based fuzzy logic firstly introduced by Guo-jun Wang in the mid 1990s.In this paper, we first establish a Stone duality for the category of MV-skeletons of $Rsb{0}$-algebras and the category of t...

prostate cancer is the second most common cancer in men. in spite of on-going researches in this filed, the specific causes of prostate cancer are so far unknown. in this study, we used two methods of gene set analysis to improve the biological interpretation of the observed expression patterns in prostate cancer. the gene set analysis is a computational method to discover gene sets whose expre...

Lattice-valued semiuniform convergence structures are important mathematical in the theory of lattice-valued topology. Choosing a complete residuated lattice $L$ as background, we introduce new type filters using tensor and implication operations on $L$, which is called $\top$-filters. By means $\top$-filters, propose concept $\top$-semiuniform counterpart structures. Different from usual discu...