On Operations of IndetermSoft Sets

Savita Rathee; Diksha Goyal; Meenakshi Hooda; Ridam Girdhar; Savita Ahlawat

Authors

Savita Rathee Department of Mathematics, Maharshi Dayanand University,Rohtak (Haryana)-124001, India
Diksha Goyal Department of Mathematics, Maharshi Dayanand University,Rohtak (Haryana)-124001, India
Meenakshi Hooda Department of Mathematics, Maharshi Dayanand University,Rohtak (Haryana)-124001, India
Ridam Girdhar Department of Mathematics, Govt. P.G. College for Women,Rohtak (Haryana)-124001, India.
Savita Ahlawat Department of Mathematics, Maharshi Dayanand University,Rohtak (Haryana)-124001, India.

Keywords:

Soft Set; IndetermSoft Algebra; IndetermSoft Operators; IndetermSoft Set; ∂−union; ∂−intersection.

Abstract

Inthis study, we define the basic operations of IndetermSoft Operators, viz., ∂−subset, ∂−superset, ∂−equal,
∂−union, and ∂−intersection, which helps define the fundamental terms of an IndetermSoft Set, including the equality of
two IndetermSoft Sets, subset, superset, and complement of an IndetermSoft Set. In addition, we define some operations,
such as union, intersection, ‘AND’ and, ‘OR’ operations of two IndetermSoft Sets and also verify the validity of De Morgan’s
law in IndetermSoft Set theory.

DOI 10.5281/zenodo.20673083