• Mathematics, Computer Science
  • Published in
    Journal of Intelligent and…
    2016
  • DOI:10.3233/IFS-151793

Groups of soft sets

@article{Atagn2016GroupsOS,
  title={Groups of soft sets},
  author={Akin Osman Atag{\"u}n and Emin Ayg{\"u}n},
  journal={Journal of Intelligent and Fuzzy Systems},
  year={2016},
  volume={30},
  pages={729-733}
}
In this paper, we introduce two new operations on soft sets, called inverse production and characteristic production, by using Molodtsov’s definition of the soft sets. We prove that the set of all soft sets over a universe U is an abelian group under the each operations and called “the inverse group of soft sets” and “the characteristic group of soft sets”. We finally show that these groups are isomorphic. 

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