Comment on “Soft α-Open Sets and Soft α-Continuous Functions”
Author
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-1, 1 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-15
Country of Publication
Egypt
No. of Pages
1
Main Subjects
Abstract EN
Akdag and Ozkan pointed out in [1, Example 14] that the collection τ of soft sets is a soft topology over the universe X={x1,x2,x3,x4}, where E={e1,e2,e3} is the set of parameters.
This conclusion is not correct since (F1,E) ∩~ (F2,E)∉τ, (F1,E) ∪~ (F2,E)∉τ, (F1,E) ∩~ (F11,E)∉τ, (F1,E) ∩~ (F14,E)∉τ, (F1,E) ∪~ (F14,E)∉τ, (F2,E) ∪~ (F5,E)∉τ, (F2,E) ∪~ (F6,E)∉τ, (F2,E) ∩~ (F7,E)∉τ, (F2,E) ∪~ (F7,E)∉τ, (F6,E) ∩~ (F14,E)∉τ, (F6,E) ∪~ (F14,E)∉τ, (F14,E) ∩~ (F15,E)∉τ, (F14,E) ∪~ (F15,E)∉τ, and many of the soft sets belong to the family τ and their soft intersection and soft union do not exist in τ.
Consequently, [1, Examples 25, 30, 31, 32] also are incorrect.
Also, the authors used the same Example 14 in [2, Example 1], so [2, Examples 2, 6, 7, 8] also are incorrect.
American Psychological Association (APA)
Khalil, Ahmed Mostafa. 2015. Comment on “Soft α-Open Sets and Soft α-Continuous Functions”. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-1.
https://search.emarefa.net/detail/BIM-1052136
Modern Language Association (MLA)
Khalil, Ahmed Mostafa. Comment on “Soft α-Open Sets and Soft α-Continuous Functions”. Abstract and Applied Analysis No. 2015 (2015), pp.1-1.
https://search.emarefa.net/detail/BIM-1052136
American Medical Association (AMA)
Khalil, Ahmed Mostafa. Comment on “Soft α-Open Sets and Soft α-Continuous Functions”. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-1.
https://search.emarefa.net/detail/BIM-1052136
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052136