Araştırma Makalesi
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On the Generalization of Soft Dimonoids

Yıl 2025, Cilt: 15 Sayı: 2, 692 - 699, 01.06.2025
https://doi.org/10.21597/jist.1544594

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.

Kaynakça

  • Akin, C.,& Ekiz, A. (2019). Some extension of dimonoids. In Proceedings, In:IV. International Scientific and Vocational Studies Congress-Science and Health, Ankara, Turkey.
  • Aktas, H., & Cagman N.(2007). Soft sets and soft groups. Information sciences, 77(13), 2726–2735.
  • Corsini, P.,& Leoreanu, V. (2013). Applications of hyperstructure theory (Vol. 5). Springer Science and Business Media
  • Davvaz, B.,& Leoreanu-Fotea, V. (2007). Hyperring theory and applications (Vol. 347). International Academic Press, USA.
  • Davvaz, B., & Cristea, I. (2015). Fundamentals of Algebraic (Hyper) Structures (pp. 1-37). Springer International Publishing.
  • Golzio, A.C. (2018). A brief historical survey on hyperstructures in algebra and logic. South American Journal of Logic, 4(1), 91–119.
  • Kazanci, O., Yilmaz, S., &Yamak, S. (2010). Soft sets and soft BCH-algebras. Hacettepe Journal of Mathematics and Statistics, 39(2), 205–217, 119.
  • Loday, J.L. (2001). Dialgebras. Springer-Verlag, Berlin.
  • Maji, P.K., Roy, A.R., & Biswas R. (2002). An application of soft sets in a decision making problem, Computers and Mathematics with Applications, 44 , 1077–1083.
  • Marty, F. (1934). Sur une Generalisation de la Notion de Groupe. In Proceedings, 8th Congress Mathematiciens Scandinaves, pp. 45–49, Stockholm.
  • Molodtsov, D. A. (1999). Soft set theory-First results. Computers and Mathematics with Applications, 37(4-5), 19–31.
  • Oguz, G., Icen I., & Gursoy M.H. (2019a). Actions of soft groups. Communications Faculty of sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 1163-1174.
  • Oguz, G., Gursoy M.H., & Icen I. (2019b). On soft topological categories. Hacettepe Journal of Mathematics and Statistics, 48(6), 1675-1681.
  • Oguz, G., Icen I., & Gursoy M.H. (2020). A new concept in the soft theory: Soft groupoids, Southeast Asian Bulletin of Mathematics, 44 (4), 555-565.
  • Oguz, G. (2020a). Soft Topological Transformation Groups. Mathematics, 8(9), 1545.
  • Oguz, G. (2020b). A new view on topological polygroups. Turkish Journal of Science, 5(2), 110-117.
  • Oguz, G. (2020c). On soft topological hypergroups. Journal of Hyperstructures, 9(2): 81–95.
  • Oguz, G., & Davvaz B. (2021). Soft topological hyperstructure. Journal of Intelligent and Fuzzy Systems, 40(5), 8755-8764.
  • Oguz, G., (2023). Some notes on soft Dimonoids. Stochastic Modelling and Computational Sciences, 3(1): 131–138.
  • Selvachandran, G., & Salleh, A. R. (2013). Soft hypergroups and soft hypergroup homomorphism. In: AIP Conference Proceedings, American Institute of Physics 1522(1), 821-827.
  • Shabir, M., & Naz, M. (2011). On soft topological spaces. Computers and Mathematics with Applications, 61(7), 1786–1799.
  • Yamak, S., Kazanci, O., & Davvaz, B. (2011). Soft hyperstructure. Computers and Mathematics with Applications, 62(2), 797–803.
  • Wang, J., Yin, M., & Gu, W. (2011). Soft polygroups. Computers and Mathematics with Applications, 62(9), 3529-3537.

Yıl 2025, Cilt: 15 Sayı: 2, 692 - 699, 01.06.2025
https://doi.org/10.21597/jist.1544594

Öz

Kaynakça

  • Akin, C.,& Ekiz, A. (2019). Some extension of dimonoids. In Proceedings, In:IV. International Scientific and Vocational Studies Congress-Science and Health, Ankara, Turkey.
  • Aktas, H., & Cagman N.(2007). Soft sets and soft groups. Information sciences, 77(13), 2726–2735.
  • Corsini, P.,& Leoreanu, V. (2013). Applications of hyperstructure theory (Vol. 5). Springer Science and Business Media
  • Davvaz, B.,& Leoreanu-Fotea, V. (2007). Hyperring theory and applications (Vol. 347). International Academic Press, USA.
  • Davvaz, B., & Cristea, I. (2015). Fundamentals of Algebraic (Hyper) Structures (pp. 1-37). Springer International Publishing.
  • Golzio, A.C. (2018). A brief historical survey on hyperstructures in algebra and logic. South American Journal of Logic, 4(1), 91–119.
  • Kazanci, O., Yilmaz, S., &Yamak, S. (2010). Soft sets and soft BCH-algebras. Hacettepe Journal of Mathematics and Statistics, 39(2), 205–217, 119.
  • Loday, J.L. (2001). Dialgebras. Springer-Verlag, Berlin.
  • Maji, P.K., Roy, A.R., & Biswas R. (2002). An application of soft sets in a decision making problem, Computers and Mathematics with Applications, 44 , 1077–1083.
  • Marty, F. (1934). Sur une Generalisation de la Notion de Groupe. In Proceedings, 8th Congress Mathematiciens Scandinaves, pp. 45–49, Stockholm.
  • Molodtsov, D. A. (1999). Soft set theory-First results. Computers and Mathematics with Applications, 37(4-5), 19–31.
  • Oguz, G., Icen I., & Gursoy M.H. (2019a). Actions of soft groups. Communications Faculty of sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 1163-1174.
  • Oguz, G., Gursoy M.H., & Icen I. (2019b). On soft topological categories. Hacettepe Journal of Mathematics and Statistics, 48(6), 1675-1681.
  • Oguz, G., Icen I., & Gursoy M.H. (2020). A new concept in the soft theory: Soft groupoids, Southeast Asian Bulletin of Mathematics, 44 (4), 555-565.
  • Oguz, G. (2020a). Soft Topological Transformation Groups. Mathematics, 8(9), 1545.
  • Oguz, G. (2020b). A new view on topological polygroups. Turkish Journal of Science, 5(2), 110-117.
  • Oguz, G. (2020c). On soft topological hypergroups. Journal of Hyperstructures, 9(2): 81–95.
  • Oguz, G., & Davvaz B. (2021). Soft topological hyperstructure. Journal of Intelligent and Fuzzy Systems, 40(5), 8755-8764.
  • Oguz, G., (2023). Some notes on soft Dimonoids. Stochastic Modelling and Computational Sciences, 3(1): 131–138.
  • Selvachandran, G., & Salleh, A. R. (2013). Soft hypergroups and soft hypergroup homomorphism. In: AIP Conference Proceedings, American Institute of Physics 1522(1), 821-827.
  • Shabir, M., & Naz, M. (2011). On soft topological spaces. Computers and Mathematics with Applications, 61(7), 1786–1799.
  • Yamak, S., Kazanci, O., & Davvaz, B. (2011). Soft hyperstructure. Computers and Mathematics with Applications, 62(2), 797–803.
  • Wang, J., Yin, M., & Gu, W. (2011). Soft polygroups. Computers and Mathematics with Applications, 62(9), 3529-3537.
Toplam 23 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Grup Teorisi ve Genellemeler, Matematiksel Mantık, Kümeler Teorisi, Kafesler ve Evrensel Cebir
Bölüm Matematik / Mathematics
Yazarlar

Gülay Oğuz 0000-0003-4302-8401

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 Oğuz G. On the Generalization of Soft Dimonoids. Iğdır Üniv. Fen Bil Enst. Der. Haziran 2025;15(2):692-699. doi:10.21597/jist.1544594
Chicago Oğuz, Gülay. “On the Generalization of Soft Dimonoids”. Journal of the Institute of Science and Technology 15, sy. 2 (Haziran 2025): 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 G. Oğuz, “On the Generalization of Soft Dimonoids”, Iğdır Üniv. Fen Bil Enst. Der., c. 15, sy. 2, ss. 692–699, 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 (Haziran2025), 692-699. https://doi.org/10.21597/jist.1544594.
JAMA 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, 2025, ss. 692-9, doi:10.21597/jist.1544594.
Vancouver Oğuz G. On the Generalization of Soft Dimonoids. Iğdır Üniv. Fen Bil Enst. Der. 2025;15(2):692-9.