A Decomposition of Some Types of Mixed Soft Continuity in Soft Topological Spaces

作者：Acikgoz Ahu^*; Tas Nihal Arabacioglu^*; Noiri Takashi^*

来源：Filomat, 2016, 30(2): 379-385.

DOI：10.2298/FIL1602379A

• (tau(1), tau(2)) - semi open soft
• (tau(1), tau(2)) - pre open soft
• (tau(1), tau(2)) - alpha - open soft
• (tau(1), tau(2)) - beta - open soft
• (tau(1)tau(2), tau) - semi - soft cts
• (tau(1)tau(2), tau) - pre - soft cts
• (tau(1)tau(2), tau) - alpha - soft cts
• (tau(1)tau(2), tau) - beta - soft cts

In this paper, we study the concept of soft sets which is introduced by Molodtsov [5] and the notion of soft continuity is introduced by Zorlutuna et al. [8]. We give the definition of (tau(1), tau(2)) -semi open soft (resp. (tau(1), tau(2)) - pre open soft, (tau(1), tau(2)) - alpha - open soft, (tau(1), tau(2)) - beta - open soft) set via two soft topologies. We introduce mixed semi -soft (resp. mixed pre - soft, mixed alpha - soft, mixed beta - soft) continuity between two soft topological spaces (X, tau(1), A); (X, tau 2, A) and a soft topological space (Y, tau, B). Also we prove that a function is mixed alpha - soft continuous if and only if it is both mixed pre -soft continuous and mixed semi soft continuous.

• 出版日期2016