GENERALIZED FUZZY Z CLOSED SETS IN DOUBLE FUZZY TOPOLOGICAL SPACES

Shiventhira Devi Sathaananthan, A. Vadivel, S. Tamilselvan and G. Saravanakumar

  DOI:
  https://doi.org/10.37418/amsj.9.4.70

Full Text

In this paper we introduce $(l,k)$-generalized fuzzy $\mathcal{Z}$-closed respective border, exterior $\&$ frontier in double fuzzy topological spaces. Some characterizations of these notions are presented.


Keywords:
$(l,k)$-$gf\mathcal{Z}c$, $G\mathcal{Z}\mathcal{B}_{\gamma,\gamma^*}(\lambda,l,k)$, $G\mathcal{Z}\mathcal{F}_{\gamma,\gamma^*}(\lambda,l,k)$ and $G\mathcal{Z}\mathcal{E}_{\gamma,\gamma^*}(\lambda,l,k)$.