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A New Kind of Vector Space: Soft Vector Space      
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
Atıf Sayıları
WoS 5
Google Scholar 23

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