SEVERAL TYPES OF GENERALIZED DOUBLE FUZZY Z DISCONNECTED SPACES

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

  DOI:
  https://doi.org/10.37418/amsj.9.4.47

Full Text

In this paper we introduce the concepts of pre generalized double fuzzy $\mathcal{Z}$-open, generalized double fuzzy $\mathcal{Z}$-extremely is connected spaces. Also we introduce the concepts of generalized double fuzzy $\mathcal{Z}$-basically disconnected space and related sets such as $(r,\kappa)$-generalized fuzzy $\mathcal{Z}$ open-$F_{\sigma}$, $(r,\kappa)$ generalized fuzzy $\mathcal{Z}$closed-$G_{\delta}$ sets and maps such as Generalized double fuzzy $\mathcal{Z}F_\sigma$-open, $\mathcal{Z}G_\delta$ continuous and $\mathcal{Z}F_\sigma$-irresolute function. Some characterizations of the concepts are studied.


Keywords:
$pgDF\mathcal{Z}O$, $gDF\mathcal{Z}ed$, $(r,\kappa)$-$gf\mathcal{Z}o$- F_{\sigma}$, $(r,\kappa)$-$gf\mathcal{Z}o$-$G_{\delta}$, $gDF\mathcal{Z}b$ disconnected space.