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    Lie Rough Groups
    (Univ Nis, Fac Sci Math, 2018) Oguz, Gulay; Icen, Ilhan; Gursoy, M. Habil
    This paper introduces the definition of a Lie rough group as a natural development of the concepts of a smooth manifold and a rough group on an approximation space. Furthermore, the properties of Lie rough groups are discussed. It is shown that every Lie rough group is a topological rough group, and that the product of two Lie rough groups is again a Lie rough group. We define the concepts of Lie rough subgroups and Lie rough normal subgroups. Finally, our aim is to give an example by using definition of Lie rough homomorphism sets G and H.
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    A Soft Approach to Ring-Groupoids
    (E D P Sciences, 2018) Oguz, Gulay; Gursoy, M. Habil; Icen, Ilhan
    This study introduces a soft approach to the concept of ring-groupoid which is the one of the structured groupoids. Some properties and characterizations of soft ring-groupoids are established. Also, the category of soft ring-groupoids constructed by the homomorphism between two soft ring-groupoids is presented.