Preferred Language
Details
Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Volume
1879
DOI
10.1088/1742-6596/1879/2/022128
Choose Citation Style
Statistics
View publication
23
Statistics
Articles
/
fhbAlYcBVTCNdQwCpFYR
g-Closed Soft Sets in Soft Closure Spaces
R N Majeed
S T Ekram
...Show More Authors
Abstract<p>The aim of the present work is to define a new class of closed soft sets in soft closure spaces, namely, generalized closed soft sets (<italic>gc</italic>-soft sets, for short) which are defined over an initial universe set with a fixed set of parameters. This new class is a generalization to the class of closed soft sets. A necessary condition for a <italic>gc</italic>-soft set to be a soft closed is also obtainable. Moreover, the union and intersection of two <italic>gc</italic>-soft sets are discussed. Besides, some properties of <italic>gc</italic>-soft sets in the product soft closure spaces are also studied. Also, as an application of <italic>gc</italic>-soft sets a new soft separation axiom, namely <inline-formula> <tex-math><?CDATA ${T}_{\frac{1}{2}}$?></tex-math> <math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mrow> <msub> <mi>T</mi> <mrow> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </msub> </mrow> </math> <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="JPCS_1879_2_022128_ieqn1.gif" xlink:type="simple"></inline-graphic> </inline-formula>-soft closure space is introduced and its basic properties are investigated.</p>
Scopus Crossref
View Publication
Related publications