Erratum: A COMPREHENSION OF SOFT BINARY PIECEWISE GAMMA OPERATION: A NEW OPERATION FOR SOFT SETS

Year 2024, Volume: 7 Issue: 3.1, 13 - 40, 22.09.2024

Aslıhan Sezgin , Eda Yavuz , Akın Osman Atagün

Abstract

,Soft set theory gained popularity as a cutting-edge approach to handling uncertainty-related problems and modeling uncertainty after being introduced by Molodtsov in 1999. Numerous theoretical and practical applications have been conducting by make using of the theory. This paper presents a novel soft set operation, called the "soft binary piecewise gamma operation". Its basic algebraic characteristics are thoroughly examined. Furthermore, this operation's distributions over a number of soft set operations are investigated. We prove that given certain assumptions, the soft binary piecewise addition operation determines a commutative semigroup and a right-left system, and soft binary piecewise gamma operation, along with the some other types of soft sets, form many important algebraic structures, such as semirings and near-semirings in the collection of soft sets over the universe by considering the algebraic properties of the operation and its distribution rules together.

Keywords

Soft sets, soft set operations, conditional complements, soft binary piecewise gamma operation

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