Yazarlar |
Aslıhan Sezgin
Amasya Üniversitesi, Türkiye |
Prof. Dr. Akın Osman ATAGÜN
Kırşehir Ahi Evran Üniversitesi, Türkiye |
Özet |
Molodtsov introduced the concept of soft sets. In this paper, we present the definition of soft vector spaces and construct some basic properties by using vector spaces and Molodtsov's definition of soft sets. We introduce the notions of soft vector spaces, soft subvector spaces, soft v-linear transformations and soft b-linear transformations and some related properties of soft structures over vector spaces are investigated and illustrated by many examples. Also soft v-linear transformation are investigated with respect to the soft linear transformatic image and we show that some structures of soft vector spaces are preserved under soft b-linear transformations. |
Anahtar Kelimeler |
Soft sets, Soft vector spaces, Soft subvector spaces, Soft v-linear transformations, Soft b-linear transformations |
Makale Türü | Özgün Makale |
Makale Alt Türü | Uluslararası alan indekslerindeki dergilerde yayımlanan tam makale |
Dergi Adı | Southeast Asian Bulletin of Mathematics |
Dergi Tarandığı Indeksler | Zentralblatth Math, Mathematical Reviews |
Makale Dili | İngilizce |
Basım Tarihi | 04-2016 |
Cilt No | 40 |
Sayı | 5 |
Sayfalar | 753 / 770 |