Comment on “On Soft β-Open Sets and Soft β-Continuous Functions”

Akdag and Ozkan pointed out in [1, Example 1] that the collection τ of soft sets is a soft topology over the universe X = {x1, x2, x3} where E = {e1, e2, e3} is the set of parameters. This conclusion is not correct since (F2,E)∩~(F7,E)∉τ, (F3,E)∪~(F8,E)∉τ, (F1,E)∪~(F13,E)∉τ, (F1,E)∩~(F13,E)∉τ, (F2,E)∩~(F13,E)∩~(F13,E)∉τ, (F2,E)∪~(F13,E)∉τ, (F2,E)∩~(F14,E)∉τ, and many of soft sets belong to the family  τ  and their soft intersection and soft union do not exist in τ. Consequently, [1, Examples 27, 28, 29, 30] also are incorrect. Example  3.3 in [2] already proved the results in [1, Remark 12] and [2, Examples 4.3 and 4.4] also proved the results in [1, Remark 26].

• Publication year

  2015

• Venue

  TheScientificWorldJournal

• Publication date

  2015-05-28

• Fields of study

  Mathematics, Medicine, Computer Science

• Identifiers
  DOI 10.1155/2015/515939PMID 26161439PMCID 4464592
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

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