Abstract. The purpose of this paper is to study a generalized topological structure induced by a given soft set over a common universe set , and some properties of a set of parameters (say, cores) by using a base for the generalized topology. In particular, for a given soft set, we show that the set of all core parameters induces a base for the family of all image set in a soft set.
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References
[1] M.I. Ali, F. Feng, X. Liu, W.K. Min and M. Shabir, On some new operations in soft set theory, Computer and Mathematics with Applications, 57 (2009), 1547-1553.
2] M.I. Ali, M. Shabir, M. Naz, Algebraic structures of soft sets associated with new operations, Computer and Mathematics with Applications, 61 (2011), 2647-2654.