Araştırma Makalesi

On the Generalization of Soft Dimonoids

Cilt: 15 Sayı: 2 1 Haziran 2025
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On the Generalization of Soft Dimonoids

Öz

Different models have been developed for solving complex problems involving uncertainty in many fields, especially in mathematics, engineering, medicine and computer sciences. Soft set theory, proposed by the Russian mathematician Molodtsov, is one of these models. Soft sets have reached a wide potential by being applied to various areas. In this study, soft hyperdimonoids are introduced by presenting a soft approach to the concept of hyperdimomoids, which is a generalisation of dimonoids. The substructures of soft hyperdimonoids, which are defined as a generalisation of soft dimonoids, are examined and some structural properties are also studied in detail.

Anahtar Kelimeler

Kaynakça

  1. Akin, C.,& Ekiz, A. (2019). Some extension of dimonoids. In Proceedings, In:IV. International Scientific and Vocational Studies Congress-Science and Health, Ankara, Turkey.
  2. Aktas, H., & Cagman N.(2007). Soft sets and soft groups. Information sciences, 77(13), 2726–2735.
  3. Corsini, P.,& Leoreanu, V. (2013). Applications of hyperstructure theory (Vol. 5). Springer Science and Business Media
  4. Davvaz, B.,& Leoreanu-Fotea, V. (2007). Hyperring theory and applications (Vol. 347). International Academic Press, USA.
  5. Davvaz, B., & Cristea, I. (2015). Fundamentals of Algebraic (Hyper) Structures (pp. 1-37). Springer International Publishing.
  6. Golzio, A.C. (2018). A brief historical survey on hyperstructures in algebra and logic. South American Journal of Logic, 4(1), 91–119.
  7. Kazanci, O., Yilmaz, S., &Yamak, S. (2010). Soft sets and soft BCH-algebras. Hacettepe Journal of Mathematics and Statistics, 39(2), 205–217, 119.
  8. Loday, J.L. (2001). Dialgebras. Springer-Verlag, Berlin.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Grup Teorisi ve Genellemeler, Matematiksel Mantık, Kümeler Teorisi, Kafesler ve Evrensel Cebir

Bölüm

Araştırma Makalesi

Erken Görünüm Tarihi

24 Mayıs 2025

Yayımlanma Tarihi

1 Haziran 2025

Gönderilme Tarihi

6 Eylül 2024

Kabul Tarihi

30 Aralık 2024

Yayımlandığı Sayı

Yıl 2025 Cilt: 15 Sayı: 2

Kaynak Göster

APA
Oğuz, G. (2025). On the Generalization of Soft Dimonoids. Journal of the Institute of Science and Technology, 15(2), 692-699. https://doi.org/10.21597/jist.1544594
AMA
1.Oğuz G. On the Generalization of Soft Dimonoids. Iğdır Üniv. Fen Bil Enst. Der. 2025;15(2):692-699. doi:10.21597/jist.1544594
Chicago
Oğuz, Gülay. 2025. “On the Generalization of Soft Dimonoids”. Journal of the Institute of Science and Technology 15 (2): 692-99. https://doi.org/10.21597/jist.1544594.
EndNote
Oğuz G (01 Haziran 2025) On the Generalization of Soft Dimonoids. Journal of the Institute of Science and Technology 15 2 692–699.
IEEE
[1]G. Oğuz, “On the Generalization of Soft Dimonoids”, Iğdır Üniv. Fen Bil Enst. Der., c. 15, sy 2, ss. 692–699, Haz. 2025, doi: 10.21597/jist.1544594.
ISNAD
Oğuz, Gülay. “On the Generalization of Soft Dimonoids”. Journal of the Institute of Science and Technology 15/2 (01 Haziran 2025): 692-699. https://doi.org/10.21597/jist.1544594.
JAMA
1.Oğuz G. On the Generalization of Soft Dimonoids. Iğdır Üniv. Fen Bil Enst. Der. 2025;15:692–699.
MLA
Oğuz, Gülay. “On the Generalization of Soft Dimonoids”. Journal of the Institute of Science and Technology, c. 15, sy 2, Haziran 2025, ss. 692-9, doi:10.21597/jist.1544594.
Vancouver
1.Gülay Oğuz. On the Generalization of Soft Dimonoids. Iğdır Üniv. Fen Bil Enst. Der. 01 Haziran 2025;15(2):692-9. doi:10.21597/jist.1544594