Abstract
Comments on “Soft b-open sets and soft b-continuous functions, Math. Sci. (2014) 8:124”
Highlights
In Example 1 of [1], the authors concluded that ðX; s; EÞ is a soft topological space over the universe X 1⁄4 fh1; h2; h3; h4g and the set of parameters E 1⁄4 fe1; e2; e3g
(2) If s2 1⁄4 f;~; X~; ðF1; EÞ; . . .; ðF7; EÞg is a soft topology where ðF1; EÞ, ..., ðF7; EÞ and (H, E) are soft sets over X defined by: This comment refers to the original article with article doi:10.1007/ s40096-014-0124-7 (Math Sci (2014) 8:124)
If ðX; s1; EÞ is a soft topological space defined as in Example 1(1), ðY; m1; KÞ be a soft topological space defined over Y where m1 1⁄4 f;~; Y~; ðL1; KÞg and ðL1; KÞ is a soft set on Y defined by: L1ðk1Þ 1⁄4 fm1; m2g; L1ðk2Þ 1⁄4 fm1; m2g: Let f : ðX; s1; EÞ ! ðY; m1; KÞ be a soft function defined by uðh1Þ 1⁄4 m2; uðh2Þ 1⁄4 m4; uðh3Þ 1⁄4 m1; uðh4Þ 1⁄4 m3; pðe1Þ 1⁄4 k2; pðe2Þ 1⁄4 k1: Math Sci (2016) 10:63–64 f is soft b-continuous function but not soft precontinuous
Summary
In Example 1 of [1], the authors concluded that ðX; s; EÞ is a soft topological space over the universe X 1⁄4 fh1; h2; h3; h4g and the set of parameters E 1⁄4 fe1; e2; e3g. (1) If s1 1⁄4 f;~; X~; ðF1; EÞ; ðF2; EÞ; ðF3; EÞg is a soft topology where ðF1; EÞ, ðF2; EÞ, ðF3; EÞ and (F, E) are soft sets over X defined by: F1ðe1Þ 1⁄4 fh1g; F2ðe1Þ 1⁄4 fh2g; F3ðe1Þ 1⁄4 fh1; h2g; F1ðe2Þ 1⁄4 fh1g; F2ðe2Þ 1⁄4 fh2g; F3ðe2Þ 1⁄4 fh1; h2g: and Fðe1Þ 1⁄4 fh1; h3g; Fðe2Þ 1⁄4 fh1; h3g: (F, E) is sb-open set but not sp-open set.
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