Complementary Soft Binary Piecewise Symmetric Difference Operation: A Novel Soft Set Operation

Year 2023, Volume: 6 Issue: 2, 31 - 45, 31.12.2023

Aslıhan Sezgin , Kubilay Dagtoros

Abstract

Since Molodtsov first introduced soft set theory, a useful mathematical tool for solving problems related to uncertainties, many soft set operations have been described and used in decision making problems. In this study, a new soft set operation called complementary soft binary piecewise symmetric difference operation is defined, and its properties are examined in comparison with the basic algebraic properties of the symmetric difference operation. Moreover, it has been shown that the collection of soft sets with a fixed set of parameter together with complementary soft binary symmetric difference and restricted intersection, is a commutative hemiring with identity and also a Boolean ring.

Keywords

Soft sets, soft set operations, Boolean rings, hemirings

Ethical Statement

Etik kurul kararının alınması gereken bir çalışma değildir.

Supporting Institution

YOK

Project Number

YOK

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