Soft Subring Theory Under Interval-valued Neutrosophic Environment


  • Sudipta Gayen National Institute of Technology Jamshedpur, India
  • Florentin Smarandache Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA
  • Sripati Jha National Institute of Technology Jamshedpur, India
  • Manoranjan Kumar Singh Magadh University, Bodh Gaya, India.
  • Said Broumi Faculty of Science Ben M’Sik, University Hassan II, Morocco
  • Ranjan Kumar Jain Deemed to be University, Jayanagar, Bengaluru, India


Neutrosophic set, Interval-valued neutrosophic soft set, Interval-valued neutrosophic soft subring, Interval-valued neutrosophic normal soft subring


The primary goal of this article is to establish and investigate the idea of interval-valued neutrosophicsoft subring. Again, we have introduced function under interval-valued neutrosophic soft environment andinvestigated some of its homomorphic attributes. Additionally, we have established product of two interval-valued neutrosophic soft subrings and analyzed some of its fundamental attributes. Furthermore, we havepresented the notion of interval-valued neutrosophic normal soft subring and investigated some of its algebraicproperties and homomorphic attributes.


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How to Cite

Sudipta Gayen, Smarandache, F., Sripati Jha, Manoranjan Kumar Singh, Broumi, S., & Ranjan Kumar. (2020). Soft Subring Theory Under Interval-valued Neutrosophic Environment. Neutrosophic Sets and Systems, 36, 193-219. Retrieved from