SEVERAL MAPPINGS VIA (L,K)-Z-GENERALIZED OPEN SETS IN DOUBLE FUZZY TOPOLOGICAL SPACES

A. Vadivel, S. D. Sathaananthan, S. Tamilselvan and G. Saravanakumar

  DOI:
  https://doi.org/10.37418/amsj.9.4.75

Full Text

We introduce some new class of generalized sets namely $(l,k)$-fuzzy $\mathcal{Z}$- generalized closed sets in double fuzzy topological spaces. Using them we investigate the class of mappings called double fuzzy $\mathcal{Z}$-generalized continuous and irresolute maps. Furthermore we study double fuzzy $\mathcal{Z}$-generalized homeomorphisms and pre double fuzzy $\mathcal{Z}$-generalized homeomorphisms. Also, some of their fundamental properties are studied.


Keywords:
double fuzzy Z-generalized continuous map, double fuzzy Zgeneralized open, closed, irresolute maps and double fuzzy Z-generalized homeomorphisms.