We describe a new class of Soft sets, Soft ARS closed sets, and its complement Soft ARS open sets, in this work, equivalent to Molodtsov Soft sets. We also compare the properties of Soft ARS closed sets to those of Soft closed sets, Soft semi closed sets, Soft closed sets, Soft JP closed sets, and Soft gsp closed sets, and show that the concept of Soft ARS closed sets is distinct from that of Soft closed sets, Soft g closed sets, Soft gs closed sets, Soft gp closed sets, Soft pre closed sets, Soft strongly g closed sets, Soft g closed, Soft close. We show that Soft ARS closed sets are stronger than Soft semiclosed sets and weaker than Soft generalised semipreclosed sets. The same can be said of Soft ARS open sets. Soft ARS closed sets and Soft ARS open sets are both characterised. We look at the fundamental features of Soft ARS closed sets and discuss them.
Author (S) Details
Assistant Professor P. Anbarasi Rodrigo
Department of Mathematics (SSC), St.Mary’s College (Autonomous), Thoothukudi, Tamil Nadu, India.
K. Rajendra Suba
Department of Mathematics (SSC), St.Mary’s College (Autonomous), Thoothukudi, Tamil Nadu, India.
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