Standard Neutrosophic Soft Theory: Some First Results


  • Bui Cong Cuong Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi, Vietnam
  • Pham Hong Phong Faculty of Information Technology, National University of Civil Engineering, 55 Giai Phong, Hanoi,Vietnam
  • Florentin Smarandache Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA


Soft sets, Fuzzy soft sets, Intuitionistic fuzzy soft sets, Neutrosophic soft sets, Neutrosophic soft relations


The traditional soft set is a mapping from a parameter set to family of all crisp subsets of a universe. Molodtsov introduced the soft set as a generalized tool for modelling complex systems involving uncertain or not clearly defined objects. In this paper, the notion of neutrosophic soft set is reanalysed. The novel theory is a combination of neutrosophic set theory and soft set theory. The complement, “and”, “or”, intersection and union operations are defined on the neutrosophic soft sets. The neutrosophic soft relations accompanied with their compositions are also defined. The basic properties of the neutrosophic soft sets, neutrosophic soft relations and neutrosophic soft compositions are also discussed.


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How to Cite

Cuong, B. C. ., Phong, P. H. ., & Smarandache, . F. . (2016). Standard Neutrosophic Soft Theory: Some First Results. Neutrosophic Sets and Systems, 12, 80-91. Retrieved from