TY - JOUR T1 - On the Generalization of Soft Dimonoids AU - Oğuz, Gülay PY - 2025 DA - June Y2 - 2024 DO - 10.21597/jist.1544594 JF - Journal of the Institute of Science and Technology JO - J. Inst. Sci. and Tech. PB - Iğdır Üniversitesi WT - DergiPark SN - 2536-4618 SP - 692 EP - 699 VL - 15 IS - 2 LA - en AB - 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. KW - soft hyperdimonoid KW - soft subhyperdimonoid. KW - soft sets hyperdiominds CR - Akin, C.,& Ekiz, A. (2019). Some extension of dimonoids. In Proceedings, In:IV. International Scientific and Vocational Studies Congress-Science and Health, Ankara, Turkey. CR - Aktas, H., & Cagman N.(2007). Soft sets and soft groups. Information sciences, 77(13), 2726–2735. CR - Corsini, P.,& Leoreanu, V. (2013). Applications of hyperstructure theory (Vol. 5). Springer Science and Business Media CR - Davvaz, B.,& Leoreanu-Fotea, V. (2007). Hyperring theory and applications (Vol. 347). International Academic Press, USA. CR - Davvaz, B., & Cristea, I. (2015). Fundamentals of Algebraic (Hyper) Structures (pp. 1-37). Springer International Publishing. CR - Golzio, A.C. (2018). A brief historical survey on hyperstructures in algebra and logic. South American Journal of Logic, 4(1), 91–119. CR - Kazanci, O., Yilmaz, S., &Yamak, S. (2010). Soft sets and soft BCH-algebras. Hacettepe Journal of Mathematics and Statistics, 39(2), 205–217, 119. CR - Loday, J.L. (2001). Dialgebras. Springer-Verlag, Berlin. CR - 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. CR - Marty, F. (1934). Sur une Generalisation de la Notion de Groupe. In Proceedings, 8th Congress Mathematiciens Scandinaves, pp. 45–49, Stockholm. CR - Molodtsov, D. A. (1999). Soft set theory-First results. Computers and Mathematics with Applications, 37(4-5), 19–31. CR - 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. CR - Oguz, G., Gursoy M.H., & Icen I. (2019b). On soft topological categories. Hacettepe Journal of Mathematics and Statistics, 48(6), 1675-1681. CR - 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. CR - Oguz, G. (2020a). Soft Topological Transformation Groups. Mathematics, 8(9), 1545. CR - Oguz, G. (2020b). A new view on topological polygroups. Turkish Journal of Science, 5(2), 110-117. CR - Oguz, G. (2020c). On soft topological hypergroups. Journal of Hyperstructures, 9(2): 81–95. CR - Oguz, G., & Davvaz B. (2021). Soft topological hyperstructure. Journal of Intelligent and Fuzzy Systems, 40(5), 8755-8764. CR - Oguz, G., (2023). Some notes on soft Dimonoids. Stochastic Modelling and Computational Sciences, 3(1): 131–138. CR - Selvachandran, G., & Salleh, A. R. (2013). Soft hypergroups and soft hypergroup homomorphism. In: AIP Conference Proceedings, American Institute of Physics 1522(1), 821-827. CR - Shabir, M., & Naz, M. (2011). On soft topological spaces. Computers and Mathematics with Applications, 61(7), 1786–1799. CR - Yamak, S., Kazanci, O., & Davvaz, B. (2011). Soft hyperstructure. Computers and Mathematics with Applications, 62(2), 797–803. CR - Wang, J., Yin, M., & Gu, W. (2011). Soft polygroups. Computers and Mathematics with Applications, 62(9), 3529-3537. UR - https://doi.org/10.21597/jist.1544594 L1 - https://dergipark.org.tr/tr/download/article-file/4195133 ER -