| Yazarlar (3) |
Aslıhan Sezgin
Amasya Üniversitesi, Türkiye |
|
Eda Yavuz
|
Prof. Dr. Akın Osman ATAGÜN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| ,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. |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayınlanan tam makale |
| Dergi Adı | Journal of Advanced Mathematics and Mathematics Education |
| Dergi ISSN | 2636-8714 |
| Dergi Tarandığı Indeksler | ISI |
| Makale Dili | İngilizce |
| Basım Tarihi | 09-2024 |
| Cilt No | 7 |
| Sayı | 3 |
| Sayfalar | 13 / 40 |
| Makale Linki | https://dergipark.org.tr/en/pub/jamame/issue/87297/1554217 |
