@article{Das_Bhattacharya_Chakaraborty_Ganapathiraju_Paul_2019, title={A new type of generalized closed set via γ-open set in a fuzzy bitopological space}, volume={38}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/2830}, DOI={10.22199/issn.0717-6279-2019-03-0033}, abstractNote={This paper aims to present the notion of (i, j)*-fuzzy γ-open set in a fuzzy bitopological space as a parallel form of (i, j)-fuzzy γ-open set due to Tripathy and Debnath (2013) [17] and show that both of them are independent concepts. Then we extend our study to (i, j)*-generalized fuzzy γ-closed set and (i, j)*-γ-generalized fuzzy closed set. We show that (i, j)*-γ-generalized fuzzy closed set and (i, j)*-generalized fuzzy γ-closed set are also independent of each other in nature. Though every (i, j)*-fuzzy γ-closed set is a (i, j)*-generalized fuzzy γ-closed set but with (i, j)*-γ-generalized fuzzy closed set, the same relation is not linear. Similarly though every (i, j)*-fuzzy closed set is (i, j)*-γ-generalized fuzzy closed set but it is independent to (i, j)*-generalized fuzzy γ-closed set. Various properties related to (i, j)*-generalized fuzzy γ-closed set are also studied. Finally, (i, j)*-generalized fuzzy γ-continuous function and (i, j)*-generalized fuzzy γ-irresolute functions are introduced and interrelationships among them are established. We characterized these functions in different directions for different applications.}, number={3}, journal={Proyecciones (Antofagasta, On line)}, author={Das, Birojit and Bhattacharya, Baby and Chakaraborty, Jayasree and Ganapathiraju, Sree Anusha and Paul, Arnab}, year={2019}, month={Aug.}, pages={511-536} }