  After the paper of Molodtsov ( D. Molodtsov, Soft set theory first results.
Computers and Mathematics with Applications, 37(4-5) (1999), 19-31), soft set
theory grew at a breakneck pace. Several authors have introduced various
operations, relations, results, as well as other aspects in soft set theory and
hybrid structures incorrectly, despite their widespread use in mathematics and
allied areas. In his paper (D. A. Molodtsov, Equivalence and correct operations
for soft sets. International Robotics and Automation Journal, 4(1) (2018),
18-21), Molodtsov, the father of soft set theory, pointed out the wrong results
and notions. Molodtsov (D. A. Molodtsov, Structure of soft sets. Nechetkie
Sistemy i Myagkie, 12(1) (2017), 5-18) also stated that the concept of soft set
had not been fully understood and used everywhere. As a result, it seemed
reasonable to revisit the quirks of those conceptions and provide a formal
account of the notion of soft set equivalency. Molodtsov already explored the
correct operations on soft sets. We use some notions and results of Molodtsov
(Molodtsov D.A. (2017) Structure of soft sets. Nechetkie Sistemy i Myagkie,
12(1) (2017), 5-18) to create matrix representations as well as certain
associated operations of soft sets, and to quantify the similarity between two
soft sets.
