A NEW SOFT SET OPERATION: COMPLEMENTARY SOFT BINARY PIECEWISE INTERSECTION (∩) OPERATION
Yazarlar (3)
Aslıhan Sezgin
Amasya Üniversitesi, Türkiye
Fitnat Nur Aybek
Amasya Üniversitesi, Türkiye
Prof. Dr. Akın Osman ATAGÜN
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(Ulusal alan endekslerinde (TR Dizin, ULAKBİM) yayınlanan tam makale)
|
||
| Dergi Adı | Black Sea Journal of Engineering and Science | ||
| Dergi ISSN | 2619-8991 | ||
| Dergi Tarandığı Indeksler | TR DİZİN | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2023 |
| Cilt / Sayı / Sayfa | 6 / 4 / 330–346 | DOI | 10.34248/bsengineering.1319873 |
| Makale Linki | https://doi.org/10.34248/bsengineering.1319873 | ||
| Özet |
| The soft set theory developed by Molodtsov has been applied both theoretically and practically in many fields. It is a useful piece of mathematics for handling uncertainty. Numerous variations of soft set operations have been described and used since its introduction. In this paper, we define a new soft set operation, called complementary soft binary piecewise intersection operation, a unique soft set operation, and examine its basic algebraic properties. Additionally, we aim to contribute to the literature on soft sets by illuminating the relationships between this new soft set operation and other kinds of soft set operations by researching the distribution of this new soft set operation over other soft set operations. Moreover, we prove that the set of all the soft sets with a fixed parameter set together with the complementary soft binary piecewise intersection operation and the soft binary piecewise union operation is a zero-symmetric near-semiring and hemiring. |
| Anahtar Kelimeler |
| Soft sets | Soft set operations | Conditional complements | Near-semiring |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| TRDizin | 7 |
| Google Scholar | 72 |
| Google Scholar | 3 |