ABSTRACT
This dissertation presents a systematic and critical study of the fundamenta.lli of
soft set theory which includes soft set operations, soft set relations and functions,
soft matrices and their properties. In course of studying operations on soft sets, the
complementation operation is strengthened, some new results on distributive and
absorption properties with respect to various soft set operations are obtained,and
soft set operations and their corresponding soft matrix operations are shown to be
equivalent. An up-to-date study of soft algebraic structures such as soft groups,
softrings, soft semirings and soft lattices is presented. In particular,new concepts
are introduced, which helped developing certai:i monoids, semirings and lattices
of soft subsets and partitions of a soft set with respect to various operations on
soft sets. Finally techniques of applications of soft set theory in decision making are
investigated and exemplified. It was observed that Soft Choice Matrix technique can
solve problems involving a huge number of decision makers in a much economical
way.
ABIGAIL, O (2021). Study Of Soft Set Theory, Its Algebra And Application. Afribary. Retrieved from https://afribary.com/works/study-of-soft-set-theory-its-algebra-and-application-1
ABIGAIL, ONYEOZILI "Study Of Soft Set Theory, Its Algebra And Application" Afribary. Afribary, 10 Apr. 2021, https://afribary.com/works/study-of-soft-set-theory-its-algebra-and-application-1. Accessed 16 Nov. 2024.
ABIGAIL, ONYEOZILI . "Study Of Soft Set Theory, Its Algebra And Application". Afribary, Afribary, 10 Apr. 2021. Web. 16 Nov. 2024. < https://afribary.com/works/study-of-soft-set-theory-its-algebra-and-application-1 >.
ABIGAIL, ONYEOZILI . "Study Of Soft Set Theory, Its Algebra And Application" Afribary (2021). Accessed November 16, 2024. https://afribary.com/works/study-of-soft-set-theory-its-algebra-and-application-1