ABSTRACT
A NEW TYPE OF OPERATION FOR SOFT SETS: SOFT BINARY PIECEWISE STAR OPERATION
Journal: Matrix Science Mathematic (MSMK)
Author: Aslıhan Sezgin, Eda Yavuz
This is an open access article distributed under the Creative Commons Attribution License CC BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited
DOI: 10.26480/msmk.02.2024.42.52
Soft set theory gained popularity as a cutting-edge approach to handling uncertainty-related problems and modeling uncertainty when it was introduced by Molodtsov in 1999. It may be applied in a variety of contexts, both theoretical and practical. This paper introduces a new soft set operation called the “soft binary piecewise star operation.” Its basic algebraic characteristics are thoroughly examined. Moreover, this operation’s distributions over various soft set operations are obtained. We prove that the soft binary piecewise star operation is a commutative semigroup under certain conditions and is also a right-left system. Furthermore, we show that the collection of soft sets over the universe, along with the soft binary piecewise star operation and some other types of soft sets, form many important algebraic structures, such as semirings and near-semirings, by considering the algebraic properties of the operation and its distribution rules together.
Pages | 42-52 |
Year | 2024 |
Issue | 2 |
Volume | 8 |