| Yazarlar (3) |
Aslıhan Sezgin
Amasya Üniversitesi, Türkiye |
|
Hakan Kökçü
|
Prof. Dr. Akın Osman ATAGÜN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| Soft set theory has gained prominence as a revolutionary approach for handling uncertainty-related problems and modeling uncertainty since it was proposed by Molodtsov. The concept of soft set operations, which is the major notion for the theory, has served as the foundation for theoretical and practical advances in the theory, therefore deriving the algebraic properties of the soft set operations and studying the algebraic structure of soft sets associated with soft set operations have attracted the researchers’ interest continuously. In the theory of soft set, many soft intersection operations have been defined up to now among which there are some differences, and some of which are no longer preferred for use as they are essentially not useful and functional. Although the definition of restricted intersection is widely accepted in the literature and used in the studies, it is still incomplete with its current form suffering from certain cases where the parameter sets of the soft sets may be disjoint is ignored, thus all the circumstances in the theorems are not considered in the related proofs causing to the incorrectness or deficiency in the studies where this operation is used or its properties are investigated. In this regard, in the existing literature, there is a critical lack of comprehensive research on the correct defined restricted intersection operation together with extended intersection including their correct properties and distributions and the correct algebraic structures associated with these soft set operations. In this study, we primarily intend to fill this crucial gap by first correcting the deficiencies in the presentation of the definition of restricted intersection and … |
| Anahtar Kelimeler |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | Diğer hakemli uluslarası dergilerde yayınlanan tam makale |
| Dergi Adı | Natural and Applied Sciences Journal |
| Dergi ISSN | 2645-9000 |
| Dergi Tarandığı Indeksler | Google scholar |
| Makale Dili | İngilizce |
| Basım Tarihi | 02-2025 |
| Cilt No | 8 |
| Sayı | 1 |
| Sayfalar | 44 / 111 |
| Doi Numarası | 10.38061/idunas.1613387 |
| Makale Linki | https://dergipark.org.tr/en/download/article-file/4493015 |
| Atıf Sayıları | |
| Google Scholar | 1 |
