r-(\tau_i,\tau_j)-\theta-Generalized Fuzzy Closed Sets in Smooth Bitopological Spaces

In this paper a new class of fuzzy sets, namely r-(tau_i,tau_j)-theta-generalized fuzzy closed sets is introduced for smooth bitopological spaces. This class falls strictly in between the class of r-(tau_j,tau_i)fuzzy theta-closed sets and the class of r-(tau_i,tau_j)-generalized fuzzy closed sets. Furthermore, by using the class of r-(tau_i,tau_j)-theta-generalized fuzzy closed sets we establish a new fuzzy closure operator which is generate a smooth topology. Finally, (i,j) strongly-theta-fuzzy continuous, (i,j)-theta-generalized fuzzy continuous and (i,j)-theta-generalized fuzzy irresolute mappings are introduce, we show that (i,j)-theta-generalized fuzzy continuous properly fits in between (j,i) strongly-theta-fuzzy continuous and (i,j)-generalized fuzzy continuous.