Next Article in Journal
Blind Image Watermarking in Canonical and Cepstrum Domains Based on 4-Connected t-o’clock Scrambling
Previous Article in Journal
Risky Multi-Attribute Decision-Making Method Based on the Interval Number of Normal Distribution
Previous Article in Special Issue
Fuzzy Information Retrieval Based on Continuous Bag-of-Words Model
Open AccessFeature PaperArticle

On Two Classes of Soft Sets in Soft Topological Spaces

Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(2), 265; https://doi.org/10.3390/sym12020265
Received: 16 January 2020 / Revised: 26 January 2020 / Accepted: 28 January 2020 / Published: 9 February 2020
In this paper, we define soft ω -open sets and strongly soft ω -open sets as two new classes of soft sets. We study the natural properties of these types of soft sets and we study the validity of the exact versions of some known results in ordinary topological spaces regarding ω -open sets in soft topological spaces. Also, we study the relationships between the ω -open sets of a given indexed family of topological spaces and the soft ω -open sets (resp. strongly soft ω -open sets) of their generated soft topological space. These relationships form a biconditional logical connective which is a symmetry. As an application of strongly soft ω -open sets, we characterize soft Lindelof (resp. soft weakly Lindelof) soft topological spaces.
Keywords: ω-open sets; soft Lindelof; soft weakly Lindelof; generated soft topology ω-open sets; soft Lindelof; soft weakly Lindelof; generated soft topology
MDPI and ACS Style

Al Ghour, S.; Hamed, W. On Two Classes of Soft Sets in Soft Topological Spaces. Symmetry 2020, 12, 265.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop